CN1314200C - Excited wave form signal generating circuit - Google Patents

Abstract

The invention discloses a stimulated waveform signal generation circuit, which is based on the system impulse response principle in the signal and linear system analysis theory, and is only composed of three conventional circuits: an integrator, an adder and a scalar multiplier alone or in combination. Connect with an impulse signal source composed of a pulse multivibrator circuit whose frequency, period, amplitude, and pulse width duty ratio can be adjusted, and use the system simulation method to generate a specific waveform signal. It can be used alone as a specific waveform or jointly used as a circuit module. It changes the traditional design concept that different waveform signals need to be formed by different circuits. It is suitable for the electronic instrumentation industry and provides a simple new design solution for the integration and serialization of waveform signal generating instruments.

Description

Stimulated waveform signal generation circuit

technical field

The invention belongs to the field of instruments and meters, and in particular relates to a waveform signal generating circuit.

Background technique

As an experimental method for people to understand objective things, electrical measurement is of great significance in the development of science and technology. However, the characteristics of any measurement object can only be displayed under the excitation of a certain electrical signal. Therefore, in order to achieve the purpose of measurement, an appropriate electrical signal must be provided.

As a kind of electrical signal, the sinusoidal signal has been widely used in testing due to its own characteristics (the waveform is not easily affected by the linear system and its superposition to the linear system), which is very familiar to everyone. However, various other excitation signals are also required in the actual measurement process. For example: square wave to test the transition characteristics of various circuits and electromechanical equipment, pulse-shaped pulses widely used in communication systems, raised cosine windows used in digital signal processing, and logic tests and analog/digital conversions in digital circuits The triangular wave, sawtooth wave, sine wave, etc. required in the performance test of the device, voltage controlled oscillator and phase locked loop. In addition, in various scientific and technological fields such as machinery, electroacoustics, underwater acoustics, and biology, some other special forms of signals are also applied. These special signals cannot be generated by general signal generators.

Signal generators are widely used instruments. The existing signal generators are roughly divided into two categories: the first category is composed of pure hardware circuits, and its output is either a single waveform, such as a sine wave generator, or a variety of waveforms. Such as sine wave, square wave, triangular wave and other forms of multiple waveform generators in one form. Although it is also composed of a large-scale integrated circuit, the number of combined waveforms is very small, and it is difficult to integrate several more waveforms, because different waveforms need to be realized with different circuits, and different circuits themselves It is also very complicated; the second type is an "arbitrary waveform generator" composed of a single-chip microcomputer (or computer) using a digital frequency synthesizer, a digital-to-analog converter and certain software. expensive.

From the theory of "signal and linear system", it can be known that a signal can often be expressed as a function (or sequence) of time, and the image of this function is called the waveform of the signal. Therefore, the waveform can also be regarded as the physical phenomenon that the physical quantity is expanded on the time coordinate, such as the current or voltage waveform of the current or voltage changing with time. These belong to the scope of ordinary function description; if we want to investigate the physical phenomenon that some physical quantities are concentrated on the space or time coordinates, the concept of ordinary function is not enough, but the concept of singular function is needed, and the impulse function is to describe this Mathematical models of such phenomena. From the reverse thinking, we can realize that the impulse function can be expanded on the time coordinate to form a certain waveform.

Contents of the invention

The object of the present invention is to provide a circuit for generating a stimulated waveform signal with a simple structure. The general technical idea of the present invention is: change the traditional method of "different waveforms need to be produced by different circuits", according to the system impulse response principle in the signal and linear system analysis theory, by the integrator, adder and scalar multiplier Three kinds of conventional circuits alone or in combination form a stimulated waveform signal generating circuit. When in use, the input end of this circuit can be combined with a pulse multivibrator circuit with adjustable frequency, period, amplitude and pulse width duty cycle. The signal source is connected, and the system simulation method can be used to generate specific waveform signals to form various stimulated waveform signal generating circuits, and then form signal generating instruments with corresponding functions. The composition of the excited waveform signal generating circuit is carried out according to the following steps: (1) Laplace transform is performed on the function of the waveform to be generated, if the Laplace transform expression has the following form:

$\mathrm{<span\; class="notranslate">\; h</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; S</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{\mathrm{<span\; class="notranslate">\; m</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{\mathrm{<span\; class="notranslate">\; m</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="b"\; filenames="C20041006460900212.png,C20041006460900221.png"\; state="\{\{state\}\}">b</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}\mathrm{<span\; class="notranslate">\; the\; s</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}}{{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}\mathrm{<span\; class="notranslate">\; the\; s</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; m</span>}<span\; class="notranslate">\; <</span>\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; )</span>$

Then the stimulated waveform signal generating circuit can be directly composed of three unit circuits of an integrator, an adder and a scalar multiplier individually or in combination. (2) If the Laplace transform expression does not have the above expression form, perform Fourier series transformation on the function of the waveform. That is, the form is as follows: $f\left(t\right)=\underset{\mathrm{no}=1}{\overset{\&infin;}{\mathrm{\&Sigma;}}}(a_{\mathrm{no}}\cos \mathrm{n\&omega;t}+b_{\mathrm{no}}\sin \mathrm{n\&omega;t})$ The conversion of the stimulated waveform signal is composed of an _n cos nωt circuit module and a b _n sin nωt circuit module composed of three unit circuits of integrator, adder and scalar multiplier. Wherein, the value of n is determined by the degree of distortion of the waveform, and usually n takes a value of 5-20.

A technical solution for realizing the present invention is: corresponding to the above-mentioned step (1), the stimulated waveform signal generation circuit has an input terminal connected to the impulse signal source 1 when in use, and the signal generation circuit is composed of an integrator alone Or combined with an adder and a scalar multiplier, it has the function of changing the output signal of the impulse signal source 1 into a specific waveform required, and outputs it from the output terminal, which can be used alone or as a circuit module Combined use.

When the stimulated waveform signal generation circuit of the present invention is output sine wave signal f (t)=sin ωt when in use, this circuit is made up of adder, the first scalar multiplier, the first integrator, the second integrator ; An input end of the adder is the input end of this circuit; The first scalar multiplier is made up of the first multiplier and the power supply; An input end of the first multiplier is connected with the negative pole of the power supply, and the positive pole of the power supply is grounded; The output end of the adder is connected with the other input end of the adder, the output end of the adder is connected with the input end of the first integrator, the output end of the first integrator is connected with the input end of the second integrator, and the second integrator The output terminal of the first multiplier is connected to the other input terminal of the first multiplier; the ground terminals of the first integrator and the second integrator are connected together and grounded; the output terminal of the second integrator is the output terminal of the circuit; thus, the first integrator The output waveform of the second integrator is the required sine wave.

When the excited waveform signal generating circuit of the present invention is output cosine wave signal f (t)=cos ωt when in use, this circuit is made up of adder, the first scalar multiplier, the first integrator, the second integrator ; One input end of the adder is the input end of this circuit; The first scalar multiplier is made up of the first multiplier and the power supply; One input end of the first multiplier is connected with the negative pole of the power supply, and the positive pole of the power supply is grounded; The output end is connected with the other input end of the adder, the output end of the adder is connected with the input end of the first integrator, the output end of the first integrator is connected with the input end of the second integrator, the output of the second integrator terminal is connected with the other input terminal of the first multiplier; the ground terminals of the first integrator and the second integrator are connected together and grounded; the output terminal of the first integrator is the output terminal of this circuit; thus, the first integrator The output waveform of the device is the required cosine wave.

When the stimulated waveform signal generation circuit of the present invention is output sine wave attenuation signal f (t)=e ^-bt sin ωt when in use, this circuit is composed of adder, the first scalar multiplier, the second scalar multiplier, The first integrator and the second integrator are composed; one input end of the adder is the input end of this circuit; the first scalar multiplier has a first multiplier, the second scalar multiplier has a second multiplier, and the first multiplier Share a power supply with the second multiplier, one input terminal of the first multiplier is connected to the negative pole of the power supply, one input terminal of the second multiplier is connected to the negative pole of the power supply, and the positive pole of the power supply is grounded; the output terminal of the first multiplier is connected to the adder’s The second input terminal is connected, the output terminal of the second multiplier is connected with the third input terminal of the adder, the output terminal of the adder is connected with the input terminal of the first integrator, and the output terminal of the first integrator is connected with the first integrator all the way. The input end of the two integrators is connected, the other is connected with the other input end of the first multiplier, the output end of the second integrator is connected with the other input end of the second multiplier, the first integrator and the second integrator The ground terminals of the two are connected together and grounded; the output terminal of the second integrator is the output terminal of this circuit; thus, the waveform output by the second integrator is the required sinusoidal attenuation waveform.

When the stimulated waveform signal generating circuit of the present invention is output parabolic signal f (t)=αt ² waveforms when in use, this circuit is composed of the first integrator, the second integrator, the third integrator, the first scalar multiplication The input terminal of the first integrator is the input terminal of the circuit; the first scalar multiplier is composed of the first multiplier and the power supply; one input terminal of the first multiplier is connected to the positive pole of the power supply, and the negative pole of the power supply is grounded; One integrator, the second integrator, and the ground terminals of the third integrator are connected together and grounded; the output terminal of the first integrator is connected with the input terminal of the second integrator, and the output terminal of the second integrator is connected with the third integrator The input terminal of the integrator is connected, the output terminal of the third integrator is connected with the other input terminal of the first multiplier, and the output terminal of the first multiplier is the output terminal of the circuit; like this, the waveform output by the first multiplier is the The desired parabolic waveform.

When the excited waveform signal generating circuit of the present invention is output hyperbolic sine signal f (t)=shat waveform when in use, this circuit is made up of the first integrator and the second integrator; the input terminal of the first integrator is the input terminal of this circuit; the ground terminals of the first integrator and the second integrator are connected together and grounded; the output terminal of the first integrator is connected with the input terminal of the second integrator, and the output terminal of the second integrator is The output terminal of this circuit; in this way, the waveform output by the second integrator is the required hyperbolic sine waveform.

When the stimulated waveform signal generation circuit of the present invention is output hyperbolic cosine signal f (t)=chat waveform when in use, this circuit is made up of adder, the first integrator, the second integrator; One of adder The input terminal is the input terminal of this circuit; the ground terminals of the first integrator and the second integrator are connected together and grounded; the output terminal of the second integrator is connected with the other input terminal of the adder, and the output terminal of the adder is connected with the other input terminal of the adder. The input terminal of the first integrator is connected, the output terminal of the first integrator is connected with the input terminal of the second integrator, and the output terminal of the second integrator is the output terminal of the circuit; like this, the waveform output by the second integrator is the The desired hyperbolic cosine signal waveform.

When the stimulated waveform signal generating circuit of the present invention is an adjustable f(t)=B sin ωt sine wave signal when the output frequency and amplitude are in use, the circuit is composed of an adder, the first scalar multiplier, the second A scalar multiplier, a first integrator, and a second integrator are composed; one input end of the adder is the input end of the circuit; the first scalar multiplier is composed of the first multiplier and the first power supply, and one of the first multiplier The input terminal is connected to the negative pole of the first power supply, and the positive pole of the first power supply is grounded; the second scalar multiplier is composed of the second multiplier and the second power supply, one input terminal of the second multiplier is connected to the positive pole of the second power supply, and the second The negative pole of the power supply is grounded; the output terminal of the first multiplier is connected to the other input terminal of the adder, the output terminal of the adder is connected to the input terminal of the first integrator, and the ground terminals of the first integrator and the second integrator are connected together and connected to ground, the output of the first integrator is connected to the input of the second integrator, the output of the second integrator is connected to the other input of the first multiplier, and the output of the second integrator Also be connected with another input end of the second multiplier; The output end of the second multiplier is the output end of this circuit; Like this, the waveform that the second multiplier outputs is exactly the sinusoidal signal f that the required frequency and amplitude can be adjusted (t) = B sin ωt waveform.

When the stimulated waveform signal generating circuit of the present invention is an adjustable f(t)=A cos ωt cosine wave signal when the output frequency and amplitude are in use, the circuit is composed of an adder, the first scalar multiplier, the second A scalar multiplier, a first integrator, and a second integrator are composed; one input end of the adder is the input end of the circuit; the first scalar multiplier is composed of the first multiplier and the first power supply, and one input of the first multiplier terminal is connected to the negative pole of the first power supply, and the positive pole of the first power supply is grounded; the second scalar multiplier is composed of the second multiplier and the second power supply, one input terminal of the second multiplier is connected to the positive pole of the second power supply, and the second power supply The negative pole of the first multiplier is connected to the other input of the adder, the output of the adder is connected to the input of the first integrator, and the output of the first integrator is connected to the input of the second integrator terminal connection, the output terminal of the second integrator is connected with the other input terminal of the first multiplier, the ground terminals of the first integrator and the second integrator are connected together and grounded, and the output terminal of the first integrator is also connected with the first multiplier The other input end of the second multiplier is connected, and the output end of the second multiplier is the output end of the circuit; like this, the waveform output by the second multiplier is the cosine wave signal f(t ) = A cos ωt waveform.

Another technical solution for realizing the present invention is: corresponding to the above-mentioned step (2), this stimulated waveform signal generation circuit is composed of an integrator, an adder and a scalar multiplier. The a _n cos nωt and b _{The n} sin nωt two circuit modules are superimposed alone or in combination; the output end of the impulse signal source 1 is connected to the input end of each sine and cosine signal circuit module, and the ground terminals of each sine and cosine signal circuit module are connected together and grounded , the output end of each positive and cosine signal circuit module is connected with the input end of the same adder 39, and the waveform output by the adder 39 is exactly the desired waveform; wherein the adder 39 is a multi-input adder or a A multi-input adder composed of multiple three-input adder multistage extensions, a _n and b _n are component coefficients in the Fourier series transform expression, and n is the number of terms expanded in the Fourier series transform expression, n is a positive integer, and the value of n is determined by the simulation accuracy of the waveform, usually 5-20.

The trigonometric series expression of the square wave function is:

$\mathrm{<span\; class="notranslate">\; f</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; t</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="no"\; filenames="C20041006460900212.png,C20041006460900221.png"\; state="\{\{state\}\}">no</figure-callout></span>}}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}\mathrm{<span\; class="notranslate">\; sin</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; \&omega;t</span>}$

$<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; sin</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 3</span>}}\mathrm{<span\; class="notranslate">\; sin</span>}\mathrm{<span\; class="notranslate">\; 3</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}\mathrm{<span\; class="notranslate">\; sin</span>}\mathrm{<span\; class="notranslate">\; 5</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; \&Center\; Dot;</span><span\; class="notranslate">\; \&Center\; Dot;</span><span\; class="notranslate">\; \&CenterDot;</span><span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}\mathrm{<span\; class="notranslate">\; sin</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; )</span>$

When the stimulated waveform signal generating circuit of the present invention outputs a square wave signal when in use, the circuit is formed by superimposing a group of sinusoidal signal circuit modules b _n sin nωt, and the output terminal of the impulse signal source 1 is connected with each sinusoidal signal The input terminals of the circuit modules are connected, and the output terminals of each sinusoidal signal circuit module are connected with each input terminal of the same adder 3, and the waveform output by the adder 3 is the required square wave, wherein the adder 3 is a multi-input A terminal adder or a multi-input adder composed of multiple three-input adders extended in multiple stages, n is a positive integer, ranging from 5 to 20.

The trigonometric series expression of the triangular wave function is:

$\mathrm{<span\; class="notranslate">\; f</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; t</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; A</span>}<span\; class="notranslate">\; (</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; no</span>}}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\mathrm{<span\; class="notranslate">\; cos</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; )</span>$

$<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; A</span>}<span\; class="notranslate">\; (</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; cos</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{\mathrm{<span\; class="notranslate">\; 3</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\mathrm{<span\; class="notranslate">\; <figure-callout\; id="2"\; label="cos"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">cos</figure-callout></span>}\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{\mathrm{<span\; class="notranslate">\; 5</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\mathrm{<span\; class="notranslate">\; cos</span>}\mathrm{<span\; class="notranslate">\; 5</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; \&CenterDot;</span><span\; class="notranslate">\; \&CenterDot;</span><span\; class="notranslate">\; \&CenterDot;</span><span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\mathrm{<span\; class="notranslate">\; cos</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; )</span>$

When the stimulated waveform signal generating circuit of the present invention outputs a triangular wave signal when in use, the circuit is formed by superimposing a group of cosine signal circuit modules a _n cos nωt, the output end of the impulse signal source 1 is connected with each cosine signal circuit The input terminal of the module is connected, and the output terminal of each cosine signal circuit module is connected with each input terminal of the same adder 3, and the waveform output by the adder 3 is the required triangular wave, wherein the adder 3 is a multi-input terminal addition or a multi-input adder composed of a plurality of three-input adders according to multi-stage expansion, n is a positive integer, and the value is 5-10.

The basic principle of the stimulated waveform signal generation circuit of the present invention is described as follows: For example, the following signals need to be produced: positive and cosine signals, hyperbolic sine signals, hyperbolic cosine signals, parabolic signals, sine wave attenuation signals, square wave signals, triangular waves Signal. However, as long as a little analysis of the above-mentioned signals, it will be found that there are differences in their generation methods. For the sinusoidal signal y(t)=B sin ωt, its Laplace transform is:

$\mathrm{<span\; class="notranslate">\; Y</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; B\&omega;</span>}}{{\mathrm{<span\; class="notranslate">\; the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout></span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; \&omega;</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; B\&omega;</span>}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}}}{\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; \&omega;</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}}}$

It can be seen that the structure of generating sine waves according to Mason's formula can be completed by one adder, two scalar multipliers and two integrators, which can be easily realized by using EWB. EWB is based on a powerful and inexpensive electronic circuit simulation design and debugging software - "Electronics Workbench EWB" Electronics Workbench. But the generation of the square wave signal in the above signal is not so simple. As long as we simply deduce the expression of its Laplace transform, we will realize this. According to this situation, we divide the signals to be generated into two types, A and B, each of which has its own generation method.

Fundamentals of Class A signal generation. This type of signal includes sine and cosine wave signals, hyperbolic sine signal, hyperbolic cosine signal, parabolic signal, sine wave attenuation signal, etc. They have a common feature that the Laplace transform expressions all have:

$\mathrm{<span\; class="notranslate">\; h</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; S</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{\mathrm{<span\; class="notranslate">\; m</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{\mathrm{<span\; class="notranslate">\; m</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; <figure-callout\; id="1"\; label="b"\; filenames="C20041006460900212.png,C20041006460900221.png"\; state="\{\{state\}\}">b</figure-callout></span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}\mathrm{<span\; class="notranslate">\; the\; s</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}}{{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{\mathrm{<span\; class="notranslate">\; no</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; .</span><span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}\mathrm{<span\; class="notranslate">\; the\; s</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; 0</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; m</span>}<span\; class="notranslate">\; <</span>\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; )</span>$

form. We give the basic structure of the simulation as shown in Figure 14, which is very clear to everyone at a glance. Therefore, only one impulse signal source δ _T (t) and one stimulated waveform signal generation circuit h(t) are needed here, which can complete the composition of the A-type signal generation circuit composed of an adder, a scalar multiplier and an integrator.

Fundamentals of Class B signal generation. It has been pointed out earlier that due to the existence of the delay factor in the Laplace transform, signals such as square waves cannot be simply generated by the required integrator, scalar multiplier and adder, so how to solve the problem Woolen cloth? We try to approach this issue from another angle. Any non-periodic signal can be expressed as a Fourier series after period extension. Right now:

$\mathrm{<span\; class="notranslate">\; f</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; t</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0</span>}}{\overset{<span\; class="notranslate">\; \&infin;</span>}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}\mathrm{<span\; class="notranslate">\; cos</span>}\mathrm{<span\; class="notranslate">\; n\&omega;t</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}\mathrm{<span\; class="notranslate">\; sin</span>}\mathrm{<span\; class="notranslate">\; n\&omega;t</span>}<span\; class="notranslate">\; )</span>$

Then any signal can be obtained by superimposing sinusoidal signals, but the right side of the above formula can only take finite items, so the key to the problem is accuracy. However, as long as we carefully analyze the frequency spectrum of the last several signals mentioned in the introduction, we will find that: when the harmonic order increases infinitely, the amplitude of the harmonic component will also become infinitely smaller, for example, the harmonic amplitude of the periodic triangular pulse is as follows: The law of the square of 1/n converges, and the harmonic amplitude of the periodic sawtooth wave pulse converges according to the law of 1/n. Therefore, taking finite items for superposition can always meet the error requirements. Therefore, we can always obtain a sufficiently small error that meets the requirements through several times. This is the basic theory of Class B signal generation. With the above basic theories, we can deduce the basic structure for generating Class B signals. The Laplace transform of the above formula f(t) is:

$\mathrm{<span\; class="notranslate">\; f</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; S</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0</span>}}{\overset{<span\; class="notranslate">\; \&infin;</span>}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}\frac{\mathrm{<span\; class="notranslate">\; the\; s</span>}}{{\mathrm{<span\; class="notranslate">\; the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout></span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; n\&omega;</span>}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; +</span>\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{<span\; class="notranslate">\; \&infin;</span>}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}\frac{\mathrm{<span\; class="notranslate">\; n\&omega;</span>}}{{\mathrm{<span\; class="notranslate">\; the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout></span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; n\&omega;</span>}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; =</span>\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0</span>}}{\overset{<span\; class="notranslate">\; \&infin;</span>}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}\frac{{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}\mathrm{<span\; class="notranslate">\; the\; s</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}\mathrm{<span\; class="notranslate">\; n\&omega;</span>}}{{\mathrm{<span\; class="notranslate">\; the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout></span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; n\&omega;</span>}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; =</span>\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0</span>}}{\overset{<span\; class="notranslate">\; \&infin;</span>}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}\frac{{\mathrm{<span\; class="notranslate">\; a</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; b</span>}}_{\mathrm{<span\; class="notranslate">\; no</span>}}\mathrm{<span\; class="notranslate">\; n\&omega;</span>}\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{\mathrm{<span\; class="notranslate">\; the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout></span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}}{\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; +</span>{<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; n\&omega;</span>}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{\mathrm{<span\; class="notranslate">\; the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout></span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}}$

From this, it can be concluded that Class B signals can be generated by the superposition of sine waves or cosine waves of different frequencies. Since either sine or cosine waves can be generated using integrators, scalar multipliers, and adders and combined into integrated modules, class B signals can be generated indirectly using integrators, scalar multipliers, and adders.

Fig. 1 is the schematic diagram that represents that the present invention utilizes system impulse response principle to produce various signals; After the impulse signal that impulse signal source δ _T (t) sends is delivered to stimulated waveform signal generation circuit h (t), through circuit The processing can output the waveform corresponding to the structure of the stimulated waveform signal circuit.

Figure 15(a), (b), and (c) represent the operational relationship of the adder, scalar multiplier, and integrator respectively. The adder can complete several input signal addition and subtraction operations; the scalar multiplier can complete a constant scalar and The operation of multiplying signals; the integrator can complete the operation of integrating signals. In the figure, the input signal is represented by the function x(t) or its transformation X(s), and the output signal is represented by the function y(t) or its transformation Y(s).

The present invention has positive effects: (1) the stimulated waveform signal generating circuit of the present invention should be connected with an impulse signal source at its input end, and the impulse signal source can use frequency, cycle, amplitude, pulse width, duty ratio all The multivibrator that can be adjusted arbitrarily is in charge. The stimulated waveform signal generating circuit of the present invention can be composed of three conventional circuits of adder, scalar multiplier and integrator individually or in combination according to the method of system simulation. (2) Since the waveform signal generating circuit can be constructed using only three types of circuits as basic elements, it facilitates large-scale integration and serialization of signal generating instruments and simplifies design. The advantage of circuit integration and serialization is that it can be mass-produced on a large scale, thereby greatly improving product reliability and performance, and greatly reducing production costs. (3) The stimulated waveform signal generating circuit of the present invention is similar to the function generator (waveform generator) in function, but it is the further development and improvement of the function generator. (4) general function generator can only produce about seven kinds of signals such as square wave, triangular wave, sine wave, cosine wave signal etc., and the stimulated waveform signal generation circuit of the present invention except comprising the signal that produces general function generator, also The circuit including generating all other signals, that is, the function of the signal source is enhanced, which is the biggest advantage of the stimulated waveform signal generator of the present invention. (5) Structurally, the function generator is generally a bistable circuit to generate a square wave, and then a triangular wave and a sawtooth wave are generated by a Miller integral circuit, and other waveforms are obtained by linear function transformation or network transformation, which requires many types of elements Devices, so on the one hand, the structure is complex, and on the other hand, the accuracy is not easy to improve. If you want to improve the precision, you must use the combined form of synthesizer/function generator, which makes the structure more complicated, expensive, and requires more frequency dividers and narrow-band filters, but the structure of the excited waveform signal generating circuit of the present invention is simple , specifications, only three types of components are needed: integrator, scalar multiplier and adder, any kind of stimulated waveform signal generation circuit can be formed, and this circuit can generate corresponding waveforms, and the accuracy of the waveforms is also high. Easy to improve. (6) The stability and accuracy of the frequency is one of the important indicators of the signal source. The measure to improve the frequency stability of the function generator is to apply the traditional method of generating sinusoidal signals, that is, the synthesis/function generator mentioned above, that is, the high frequency stability is based on the use of a large number of frequency dividers, frequency multipliers and at the expense of narrowband filters. Although the structure of the excited waveform signal generating circuit of the present invention is simple, its frequency stability and accuracy are also very high. (7) Although the function generator can obtain signals as low as 10 ^-6 Hz, it is difficult to obtain square waves, triangle waves and sawtooth waves with high repetition frequencies, so the upper limit of the repetition frequency of the function generator is not high, generally below 20MHz, and The frequency upper limit of the stimulated waveform signal generating circuit of the present invention is expected to be increased, and only a certain number of scalar multipliers need to be added.

Description of drawings

Fig. 1 is a composition block diagram of the present invention and utilizes system impulse response principle to produce various signal diagrams;

Fig. 2 is the composition block diagram of the stimulated waveform signal generation circuit that produces sine wave signal;

Fig. 3 is the composition block diagram of the stimulated waveform signal generation circuit that produces cosine wave signal;

Fig. 4 is the composition block diagram of the stimulated waveform signal generation circuit that produces sine wave attenuation signal;

Fig. 5 is the composition block diagram of the stimulated waveform signal generation circuit that produces parabolic signal;

Fig. 6 is the composition block diagram of the stimulated waveform signal generation circuit that produces hyperbolic sine signal;

Fig. 7 is the composition block diagram of the stimulated waveform signal generation circuit that produces hyperbolic cosine signal;

Fig. 8 is the composition block diagram of the stimulated waveform signal generating circuit of the Bsinωt sine wave signal that can be controlled arbitrarily in frequency and amplitude;

Fig. 9 is the composition block diagram of the stimulated waveform signal generation circuit of the Acosωt cosine wave signal that produces frequency and amplitude can be controlled arbitrarily;

Fig. 10 is a composition block diagram of a multi-signal generator;

Fig. 11 is a block diagram of the composition of the stimulated waveform signal generating circuit that generates the second type of signal in the present invention;

Fig. 12 is a block diagram of the composition of the stimulated waveform signal generation circuit that produces a square wave signal;

Fig. 13 is a block diagram of the composition of the stimulated waveform signal generation circuit that produces a triangular wave signal;

Fig. 14 is a block diagram of the composition of the stimulated waveform signal generation circuit that generates the first type of signal in the present invention;

Figure 15a is an adder diagram;

Figure 15b is a scalar multiplier diagram;

Figure 15C-1 is a diagram of an integrator with an initial condition of zero;

Figure 15C-2 is a diagram of an integrator with an initial condition other than zero,

Fig. 16 is a circuit diagram of a hysteresis comparator.

Detailed ways

The following embodiments have been simulated on the EWB software platform, and practice has verified that the present invention is practical and feasible. EWB is a "virtual electronic work platform EWB" Electronics Workbench software specially used for electronic circuit simulation and design launched by Canadian Interactive Image Technologies in the late 1980s and early 1990s. Electronic product designers use this software to simulate and debug the designed circuits.

(Example 1)

Firstly, Laplace transform is performed on the sine function f(t)=sin 5t corresponding to the desired waveform, and the Laplace transform expression is:

$\mathrm{<span\; class="notranslate">\; f</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 5</span>}}{{\mathrm{<span\; class="notranslate">\; the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout></span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 25</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; 5</span>}\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}}}{\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; 25</span>}\mathrm{<span\; class="notranslate">\; the\; s</span>}}^{<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 2</span>}}}$

As shown in Fig. 1 and Fig. 2, the stimulated waveform signal generation circuit 2 of the present embodiment is made up of adder 3, the first scalar multiplier, the first integrator 51, the second integrator 52; Terminal is the input terminal of this circuit; The first scalar multiplier is made up of the first multiplier 41 and power supply E1; An input terminal of the first multiplier 41 is connected with the negative pole of power supply E1, and the positive pole of power supply E1 is grounded; The first multiplier The output end of 41 is connected with the other input end of adder 3, and the output end of adder 3 is connected with the input end of first integrator 51, and the output end of first integrator 51 is connected with the input end of second integrator 52 , the output terminal of the second integrator 52 is connected with the other input terminal of the first multiplier 41; the ground terminals of the first integrator 51 and the second integrator 52 are connected together and grounded; the output terminal of the second integrator 52 Be the output terminal of this circuit; Like this, the waveform that the second integrator 52 outputs is exactly the waveform that the required sinusoidal function f (t)=sin 5t represents.

(Example 2)

Firstly, Laplace transform is performed on the cosine function f(t)=cos 5t corresponding to the desired waveform, and the Laplace transform expression is: $f\left(\mathrm{the\; s}\right)=\frac{\mathrm{the\; s}}{{\mathrm{the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout>}}^2+25}$

As shown in Figures 1 and 3, the stimulated waveform signal generating circuit 2 of the present embodiment is composed of an adder 3, a first scalar multiplier, a first integrator 51, and a second integrator 52; an input of the adder 3 Terminal is the input terminal of this circuit; The first scalar multiplier is made up of the first multiplier 41 and power supply E1; One input terminal of the first multiplier 41 is connected with the negative pole of power supply E1, and the positive pole of power supply E1 is grounded; The first multiplier 41 The output terminal is connected with another input terminal of the adder 3, the output terminal of the adder 3 is connected with the input terminal of the first integrator 51, the output terminal of the first integrator 51 is connected with the input terminal of the second integrator 52, and the output terminal of the first integrator 51 is connected with the input terminal of the second integrator 52. The output end of the second integrator 52 is connected with the other input end of the first multiplier 41; The ground end of the first integrator 51 and the second integrator 52 is connected together and grounded; The output end of the first integrator 51 is this The output end of circuit; Like this, the output waveform of the first integrator 51 is exactly the waveform represented by the required cosine function f (t)=cos 5t.

(Example 3)

Firstly, Laplace transform is performed on the sine wave attenuation function f(t)=e ^-t sin 10t corresponding to the desired waveform, and the Laplace transform expression is: $f\left(\mathrm{the\; s}\right)=\frac{10}{{(\mathrm{the\; s}+1)}^2+100}$

As shown in Figure 1 and Figure 4, the stimulated waveform signal generation circuit 2 of the present embodiment is made up of adder 3, the first scalar multiplier, the second scalar multiplier, the first integrator 51, the second integrator 52; One input end of adder 3 is the input end of this circuit; The first scalar multiplier has the first multiplier 41, and the second scalar multiplier has the second multiplier 42, and the first multiplier 41 and the second multiplier 42 share A power supply E1, an input terminal of the first multiplier 41 is connected with the negative pole of the power supply E1, an input terminal of the second multiplier 42 is connected with the negative pole of the power supply E1, and the positive pole of the power supply E1 is grounded; the output terminal of the first multiplier 41 Be connected with the second input end of adder 3, the output end of the second multiplier 42 is connected with the third input end of adder 3, the output end of adder 3 is connected with the input end of the first integrator 51, the first The output end of an integrator 51 is connected with the input end of the second integrator 52 one way, and the other way is connected with the other input end of the first multiplier 41, and the output end of the second integrator 52 is connected with another input end of the multiplier 42 terminal connection, the ground terminals of the first integrator 51 and the second integrator 52 are connected together and grounded; the output terminal of the second integrator 52 is the output terminal of this circuit; like this, the waveform output by the second integrator 52 is the The desired sinusoidal attenuation function f(t)=e ^-t sin 10t represents the waveform.

(Example 4)

As shown in Figure 5, firstly the Laplace transform is performed on the parabolic function f(t)= ^2t2 corresponding to the required waveform, and the Laplace transform expression is: $f\left(\mathrm{the\; s}\right)=\frac{4}{{\mathrm{the\; <figure-callout\; id="3"\; label="s"\; filenames="C20041006460900202.png,C20041006460900203.png"\; state="\{\{state\}\}">s</figure-callout>}}^3}$

As shown in Figure 1 and Figure 5, the stimulated waveform signal generation circuit 2 of the present embodiment is made up of the first integrator 51, the second integrator 52, the third integrator 53, the first scalar multiplier; The input end of 51 is the input end of this circuit; The first scalar multiplier is made up of the first multiplier 4 and power supply E1; One input end of the first multiplier 4 is connected with the positive pole of power supply E1, and the negative pole of power supply E1 is grounded; An integrator 51, the second integrator 52, and the ground terminal of the third integrator 53 are connected together and grounded; the output terminal of the first integrator 51 is connected with the input end of the second integrator 52, and the The output end is connected with the input end of the third integrator 53, and the output end of the third integrator 53 is connected with another input end of the first multiplier 41, and the output end of the first multiplier 41 is the output end of this circuit; Like this , the waveform output by the first multiplier 41 is the waveform represented by the required parabolic function f(t)=2t ² .

(Example 5)

Firstly, Laplace transform is performed on the hyperbolic sine function f(t)=shat corresponding to the desired waveform, and the Laplace transform expression is: $f\left(\mathrm{the\; s}\right)=\frac{a}{{\mathrm{the\; s}}^2-a^2}$

As shown in Figure 1 and Figure 6, the stimulated waveform signal generation circuit 2 of the present embodiment is made up of the first integrator 51, the second integrator 52; The input terminal of the first integrator 51 is the input terminal of this circuit; The ground terminal of an integrator 51 and the second integrator 52 is connected together and grounded; the output terminal of the first integrator 51 is connected with the input terminal of the second integrator 52, and the output terminal of the second integrator 52 is the output terminal; like this, the waveform output by the second integrator 52 is exactly the waveform represented by the required hyperbolic sine function f(t)=shat.

(Example 6)

Firstly, Laplace transform is performed on the hyperbolic cosine function f(t)=chat corresponding to the desired waveform, and the Laplace transform expression is: $f\left(\mathrm{the\; s}\right)=\frac{\mathrm{the\; s}}{{\mathrm{the\; s}}^2-a^2}$

As shown in Figure 1 and Figure 7, the stimulated waveform signal generation circuit 2 of the present embodiment is made up of adder 3, the first integrator 51, the second integrator 52; One input end of adder 3 is the input of this circuit terminal; the ground terminal of the first integrator 51 and the second integrator 52 are connected together and grounded; the output terminal of the second integrator 52 is connected with the other input terminal of the adder 3, and the output terminal of the adder 3 is connected with the first The input end of integrator 51 is connected, and the output end of first integrator 51 is connected with second integrator 52 input ends, and the output end of second integrator 52 is the output end of this circuit; Like this, the output of second integrator 52 The waveform is the waveform represented by the required hyperbolic cosine function f(t)=chat.

(Example 7)

Firstly, Laplace transform is performed on the sine function f(t)=B sin ωt corresponding to the desired waveform, and the Laplace transform expression is: $f\left(\mathrm{the\; s}\right)=\frac{\mathrm{B\&omega;}}{{\mathrm{<figure-callout\; id="2"\; label="S"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">S</figure-callout>}}^2+{\mathrm{\&omega;}}^2}$

As shown in Fig. 1 and Fig. 8, the stimulated waveform signal generating circuit 2 of the sine wave signal of the present embodiment is composed of an adder 3, a first scalar multiplier, a second scalar multiplier, a first integrator 51, a second integral One input end of adder 3 is the input end of this circuit; The first scalar multiplier is made up of first multiplier 41 and power supply E1, and one input end of first multiplier 41 is connected with the negative pole of power supply E1, The positive pole of the power supply E1 is grounded; the second scalar multiplier is made up of the second multiplier 42 and the power supply E2, an input terminal of the second multiplier 42 is connected with the positive pole of the power supply E2, and the negative pole of the power supply E2 is grounded; the output of the first multiplier 41 end is connected with the other input end of adder 3, the output end of adder 3 is connected with the input end of first integrator 51, and the ground end of first integrator 51 and the second integrator 52 are connected together and connected with ground , the output end of the first integrator 51 is connected with the input end of the second integrator 52, the output end of the second integrator 52 is connected with the other input end of the first multiplier 41, and the output end of the second integrator 52 is also Be connected with another input end of the second multiplier 42; The output end of the second multiplier 42 is the output end of this circuit; Like this, the waveform that the second multiplier 42 outputs is exactly the sine wave that the required frequency and amplitude can be adjusted The waveform represented by the function f(t)=B sin ωt.

(Embodiment 8)

Firstly, Laplace transform is performed on the cosine function f(t)=A cos ωt corresponding to the desired waveform, and the Laplace transform expression is:

$\mathrm{<span\; class="notranslate">\; f</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; As</span>}}{{\mathrm{<span\; class="notranslate">\; the\; <figure-callout\; id="2"\; label="s"\; filenames="C20041006460900201.png,C20041006460900202.png"\; state="\{\{state\}\}">s</figure-callout></span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; \&omega;</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}$

As shown in Fig. 1 and Fig. 9, the stimulated waveform signal generating circuit 2 of the cosine wave signal of the present embodiment is composed of an adder 3, a first scalar multiplier, a second scalar multiplier, a first integrator 51, a second integral One input end of the adder 3 is the input end of this circuit; The first scalar multiplier is made up of the first multiplier 41 and the power supply E1, and one input end of the first multiplier 41 is connected with the negative pole of the power supply E1, and the power supply The positive pole of E1 is grounded; the second scalar multiplier is made up of the second multiplier 42 and the power supply E2, and an input terminal of the second multiplier 42 is connected with the positive pole of the power supply E2, and the negative pole of the power supply E2 is grounded; the output terminal of the first multiplier 41 Be connected with another input end of adder 3, the output end of adder 3 is connected with the input end of first integrator 51, the output end of first integrator 51 is connected with the input end of second integrator 52, the second integral The output terminal of device 52 is connected with another input terminal of first multiplier 41, and the ground terminal of first integrator 51 and second integrator 52 is connected together and connected with ground, and the output terminal of first integrator 51 is also connected with The other input end of the second multiplier 42 is connected, and the output end of the second multiplier 42 is the output end of this circuit; Like this, the waveform that the second multiplier 42 outputs is exactly the cosine wave that required frequency and amplitude can be adjusted The waveform represented by the function f(t)=A cos ωt.

(Example 9)

Firstly, Fourier series transform is performed on the square wave function corresponding to the desired waveform, and its trigonometric series expression is:

$\mathrm{<span\; class="notranslate">\; f</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; t</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; no</span>}}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}\mathrm{<span\; class="notranslate">\; sin</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; \&omega;t</span>}$

$<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; sin</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 3</span>}}\mathrm{<span\; class="notranslate">\; <figure-callout\; id="3"\; label="sin"\; filenames="C20041006460900202.png,C20041006460900203.png"\; state="\{\{state\}\}">sin</figure-callout></span>}\mathrm{<span\; class="notranslate">\; 3</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}\mathrm{<span\; class="notranslate">\; sin</span>}\mathrm{<span\; class="notranslate">\; 5</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; \&Center\; Dot;</span><span\; class="notranslate">\; \&Center\; Dot;</span><span\; class="notranslate">\; \&CenterDot;</span><span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}}\mathrm{<span\; class="notranslate">\; sin</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; )</span>$

As shown in Fig. 1 and Fig. 12, the stimulated waveform signal generating circuit 2 for generating the square wave signal in this embodiment is formed by superposition of 14 sinusoidal signal circuit modules b _n sin nωt of different frequencies, and the output of the impulse signal source 1 terminal is connected to the input terminal INs of each sinusoidal signal circuit module, and the output terminal OUTs of each sinusoidal signal circuit module is connected to the input terminal of the same adder 3, and the waveform output by the adder 3 is the required square wave, wherein the addition The device 3 is a multi-input adder or a multi-input adder composed of multiple three-input adders with multi-stage expansion, n is a positive integer, and the value is 14.

(Example 10)

Firstly, Fourier series transform is performed on the triangular wave function corresponding to the required waveform, and the expression of the triangular series is:

$\mathrm{<span\; class="notranslate">\; f</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; t</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; A</span>}<span\; class="notranslate">\; (</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\underset{\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 1</span>}}{\overset{\mathrm{<span\; class="notranslate">\; no</span>}}{\mathrm{<span\; class="notranslate">\; \&Sigma;</span>}}}\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\mathrm{<span\; class="notranslate">\; cos</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; )</span>$

$<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; A</span>}<span\; class="notranslate">\; (</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; -</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; cos</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{\mathrm{<span\; class="notranslate">\; 3</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\mathrm{<span\; class="notranslate">\; <figure-callout\; id="3"\; label="cos"\; filenames="C20041006460900202.png,C20041006460900203.png"\; state="\{\{state\}\}">cos</figure-callout></span>}\mathrm{<span\; class="notranslate">\; 3</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{\mathrm{<span\; class="notranslate">\; 5</span>}}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\mathrm{<span\; class="notranslate">\; cos</span>}\mathrm{<span\; class="notranslate">\; 5</span>}\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; \&CenterDot;</span><span\; class="notranslate">\; \&CenterDot;</span><span\; class="notranslate">\; \&CenterDot;</span><span\; class="notranslate">\; +</span>\frac{\mathrm{<span\; class="notranslate">\; 1</span>}}{{<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>}^{\mathrm{<span\; class="notranslate">\; 2</span>}}}\mathrm{<span\; class="notranslate">\; cos</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1</span>}<span\; class="notranslate">\; )</span>\mathrm{<span\; class="notranslate">\; \&omega;t</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; )</span>$

As shown in Fig. 1 and Fig. 13, the stimulated waveform signal generating circuit 2 for generating triangular wave signals in this embodiment is formed by superimposing 7 cosine signal circuit modules a _n cos nωt of different frequencies, and the output terminal of the impulse signal source 1 is connected to The input terminal INc of each cosine signal circuit module is connected, the output terminal OUTc of each cosine signal circuit module is connected with the input terminal of the same adder 3, and the waveform output by the adder 3 is the required triangular wave, wherein the adder 3 is A multi-input adder or a multi-input adder composed of multiple three-input adders with multi-stage extensions, n is a positive integer, and the value is 7.

(Application example 1)

As shown in Figure 10, a kind of multi-signal generating instrument is to have comprehensive above-mentioned sine wave signal (embodiment 1), cosine wave signal (embodiment 2), sine wave attenuation signal (embodiment 3), frequency and amplitude can carry out Adjustable f (t)=B sin ωt sine wave signal (embodiment 7), frequency and amplitude can be adjusted f (t)=A cos ωt cosine wave signal (embodiment 8), hyperbolic sine signal (embodiment 8) 5), hyperbolic cosine signal (embodiment 6), parabolic signal (embodiment 4) 8 kinds of multipurpose waveform signal generators of different waveforms, its structure is that the input ends of each stimulated waveform signal generating circuit are connected together and connected with the impulse The output terminals of the excitation signal source 1 are connected, and the output terminals of different excited waveform signal generating circuits are respectively connected to the respective waveform output selection switches k1, k2, k3, k4, k5, k6, k7 and k8. By selecting the closure of the switch, the desired waveform can be output. In order to improve the use effect of the instrument, an amplifier can be connected behind the stimulated waveform signal generating circuit.

(Application example 2)

As shown in Figure 12, the excited waveform signal generation circuit that generates square wave signals, in order to facilitate the observation and analysis of square wave signals, we added a voltage amplification module (not shown in the figure) at the end, and its gain is 60v/v .

There is also a hysteresis comparator, its circuit is shown in Figure 16, the hysteresis comparator is a comparator with hysteresis loop transfer characteristics, a positive feedback network is introduced on the basis of the inverting input single-threshold voltage comparator, composed of R6 , R7, R8, R9, the comparator we use is a hysteresis comparator with double-threshold input. Due to the positive feedback effect, the threshold voltage of this comparator changes with the change of the output voltage V0. Its sensitivity is lower, but its anti-interference ability is higher.

Claims (12)

1, a kind of excited wave form signal generating circuit, it is characterized in that: have an input and an output, independent or same adder, scalar multiplication device make up and constitute by integrator for the port that is connected with impulse signal source (1) when the input of this circuit is to use, this circuit; The port of the corresponding waveform signal of structure of exportable and this circuit when the output of this circuit is to use.

2, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication device is made up of first multiplier (41) and power supply (E1); An input of first multiplier (41) is connected the plus earth of power supply (E1) with the negative pole of power supply (E1); The output of first multiplier (41) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output of first integrator (51) is connected with the input of second integral device (52), and the output of second integral device (52) is connected with another input of first multiplier (41); The earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of second integral device (52) is the output of this circuit; The port of exportable sine wave signal f (t) when like this, the output of this circuit is to use=sin ω t.

3, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication device is made up of first multiplier (41) and power supply (E1); An input of first multiplier (41) is connected the plus earth of power supply (E1) with power supply (E1) negative pole; The output of first multiplier (41) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output of first integrator (51) is connected with the input of second integral device (52), and the output of second integral device (52) is connected with another input of first multiplier (41); The earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of first integrator (51) is the output of this circuit; The port of exportable cosine wave signal f (t) when like this, the output of this circuit is to use=cos ω t.

4, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, the second scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication utensil has first multiplier (41), the second scalar multiplication utensil has second multiplier (42), first multiplier (41) and the shared power supply of second multiplier (42) (E1), an input of first multiplier (41) is connected with the negative pole of power supply (E1), an input of second multiplier (42) is connected power supply (E1) plus earth with the negative pole of power supply (E1); The output of first multiplier (41) is connected with second input of adder (3), the output of second multiplier (42) is connected with the 3rd input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output one tunnel of first integrator (51) is connected with the input of second integral device (52), another road is connected with another input of first multiplier (41), the output of second integral device (52) is connected with another input of second multiplier (42), and the earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of second integral device (52) is the output of this circuit; Exportable sinusoidal wave deamplification f (t)=e when like this, the output of this circuit is to use ^-btThe port of sin ω t.

5, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of first integrator (51), second integral device (52), third integral device (53), the first scalar multiplication device; The input of first integrator (51) is the input of this circuit; The first scalar multiplication device is made up of first multiplier (41) and power supply (E1); An input of first multiplier (41) is connected the minus earth of power supply (E1) with the positive pole of power supply (E1); First integrator (51), second integral device (52), the earth terminal of third integral device (53) connect together and ground connection; The output of first integrator (51) is connected with the input of second integral device (52), the output of second integral device (52) is connected with the input of third integral device (53), the output of third integral device (53) is connected with another input of first multiplier (41), and the output of first multiplier (41) is the output of this circuit; Exportable parabolic signal f (t)=at when like this, the output of this circuit is to use ²Port.

6, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of first integrator (51), second integral device (52); The input of first integrator (51) is the input of this circuit; The earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of first integrator (51) is connected with the input of second integral device (52), and the output of second integral device (52) is the output of this circuit; The port of exportable hyperbolic sine signal f (t)=shat when like this, the output of this circuit is to use.

7, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of second integral device (52) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output of first integrator (51) is connected with the input of second integral device (52), and the output of second integral device (52) is the output of this circuit; The port of exportable hyperbolic cosine signal f (t)=chat when like this, the output of this circuit is to use.

8, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, the second scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication device is made up of first multiplier (41) and first power supply (E1), and an input of first multiplier (41) is connected the plus earth of first power supply (E1) with the negative pole of first power supply (E1); The second scalar multiplication device is made up of second multiplier (42) and second source (E2), and an input of second multiplier (42) is connected the minus earth of second source (E2) with the positive pole of second source (E2); The output of first multiplier (41) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the earth terminal of first integrator (51) and second integral device (52) connects together and is connected with ground, the output of first integrator (51) is connected with the input of second integral device (52), the output of second integral device (52) is connected with another input of first multiplier (41), and the output of second integral device (52) also is connected with another input of second multiplier (42); The output of second multiplier (42) is the output of this circuit; The port of the sine wave signal f (t) that exportable frequency and amplitude can be regulated when like this, the output of this circuit was to use=Bsin ω t.

9, excited wave form signal generating circuit according to claim 1 is characterized in that: this circuit is made up of adder (3), the first scalar multiplication device, the second scalar multiplication device, first integrator (51), second integral device (52); An input that input is this circuit of adder (3); The first scalar multiplication device is made up of first multiplier (41) and first power supply (E1), and an input of first multiplier (41) is connected the plus earth of first power supply (E1) with the negative pole of first power supply (E1); The second scalar multiplication device is made up of second multiplier (42) and second source (E2), and an input of second multiplier (42) is connected second source (E2) minus earth with the positive pole of second source (E2); The output of first multiplier (41) is connected with another input of adder (3), the output of adder (3) is connected with the input of first integrator (51), the output of first integrator (51) is connected with the input of second integral device (52), the output of second integral device (52) is connected with another input of first multiplier (41), and the earth terminal of first integrator (51) and second integral device (52) connects together and ground connection; The output of first integrator (51) also is connected with another input of second multiplier (42), and the output of second multiplier (42) is the output of this circuit; The port of the cosine wave signal f (t) that exportable frequency and amplitude can be regulated when like this, the output of this circuit was to use=Acos ω t.

10, a kind of excited wave form signal generating circuit, it is characterized in that: have an input and an output, the port that is connected with impulse signal source (1) when the input of this circuit is to use, the port of the corresponding waveform signal of structure of exportable and this circuit when the output of this circuit is to use; By integrator, adder and three element circuits of scalar multiplication device just constituting, the cosine signal circuit module; Wherein sinusoidal signal circuit module circuit is made up of first adder (3-1), the first scalar multiplication device, the second scalar multiplication device, first integrator (51-1), second integral device (52-1); An input that input is this circuit module of first adder (3-1); The first scalar multiplication device is made up of first multiplier (41-1) and first power supply (E1), and an input of first multiplier (41-1) is connected the plus earth of first power supply (E1) with the negative pole of first power supply (E1); The second scalar multiplication device is made up of second multiplier (42-1) and second source (E2), and an input of second multiplier (42-1) is connected the minus earth of second source (E2) with second source (E2) is anodal; The output of first multiplier (41-1) is connected with another input of first adder (3-1), the output of first adder (3-1) is connected with the input of first integrator (51-1), and the earth terminal of first integrator (51-1) and second integral device (52-1) connects together and is connected with ground; The output of first integrator (51-1) is connected with the input of second integral device (52-1), the output of second integral device (52-1) is connected with another input of first multiplier (41-1), and the output of second integral device (52-1) also is connected with another input of second multiplier (42-1); The output of second multiplier (42-1) is the output of this circuit module; The sine wave signal a that exportable frequency and amplitude can be regulated when like this, the output of sinusoidal signal circuit module was to use _nThe port of cos n ω t; The cosine signal circuit module goes out second adder (3-2), the 3rd scalar multiplication device, the 4th scalar multiplication device, third integral device (51-2), the 4th integrator (52-2) composition; An input that input is this circuit module of second adder (3-2); The 3rd scalar multiplication device is made up of the 3rd multiplier (41-2) and the 3rd power supply (E3), and input of the 3rd multiplier (41-2) is connected the plus earth of the 3rd power supply (E3) with the 3rd power supply (E3) negative pole; The 4th scalar multiplication device is made up of the 4th multiplier (42-2) and the 4th power supply (E4), and input of the 4th multiplier (42-2) is connected the minus earth of the 4th power supply (E4) with the 4th power supply (E4) is anodal; The output of the 3rd multiplier (41-2) is connected with another input of second adder (3-2), the output of second adder (3-2) is connected with the input of third integral device (51-2), the output of third integral device (51-2) is connected with the input of the 4th integrator (52-2), the output of the 4th integrator (52-2) is connected with another input of the 3rd multiplier (41-2), the earth terminal of third integral device (51-2) and the 4th integrator (52-2) connects together and ground connection, the output of third integral device (51-2) also is connected with another input of the 4th multiplier (42-2), and the output of the 4th multiplier (42-2) is the output of this circuit module; The cosine wave signal b that exportable frequency and amplitude can be regulated when like this, the output of cosine signal circuit module was to use _nThe port of sin n ω t; Again by just, cosine signal circuit module stack and constitute this circuit; Each just, the input of cosine signal circuit module links together, each just, the earth terminal of cosine signal circuit module links together and ground connection, each just, the output of cosine signal circuit module is connected with each input of same adder (39), and adder (39) output is the output of this circuit; Wherein adder (39) is input adder more than or many inputs adder of being made up of by multistage expansion a plurality of three-input adders; Output was by trigonometrical number when thereby the output that makes this circuit was to use $\underset{n=1}{\overset{\&infin;}{\mathrm{\&Sigma;}}}(a_n\cos \mathrm{n\&omega;t}+b_n\sin \mathrm{n\&omega;t})$ The port of represented waveform, $\underset{n=1}{\overset{\&infin;}{\mathrm{\&Sigma;}}}(a_n\cos \mathrm{n\&omega;t}+b_n\sin \mathrm{n\&omega;t})$ In, a _nAnd b _nBe the component coefficient in the fourier series conversion expression formula, n is the item number that launches in the fourier series conversion expression formula, and n is a positive integer, and the value of n is decided value 5-20 by the simulation precision of waveform.

11, excited wave form signal generating circuit according to claim 10 is characterized in that: this circuit is by the sinusoidal signal circuit module b of n different frequency _nSin n ω t is formed by stacking, and its trigonometrical number expression formula is:

$f\left(t\right)=\frac{4}{\mathrm{\&pi;}}\underset{n=1}{\overset{n}{\mathrm{\&Sigma;}}}\frac{1}{2n-1}\sin (2n-1)\mathrm{\&omega;t}$

$=\frac{4}{\mathrm{\&pi;}}(\sin \mathrm{\&omega;t}+\frac{1}{3}\sin 3\mathrm{\&omega;t}+\frac{1}{5}\sin 5\mathrm{\&omega;t}+\&CenterDot;\&CenterDot;\&CenterDot;+\frac{1}{2n-1}\sin (2n-1)\mathrm{\&omega;t})$

Each sinusoidal signal circuit module input (INs) links together, as the input of this circuit; The output of each sinusoidal signal circuit module (OUTs) is connected with each input of same adder (3), and the waveform of adder (3) output is exactly required square wave, wherein adder (3) is input adder more than or many inputs adder of being made up of by multistage expansion a plurality of three-input adders, n is a positive integer, value 5-20.

12, excited wave form signal generating circuit according to claim 10 is characterized in that: this circuit is by one group of cosine signal circuit module a _nCos n ω t is formed by stacking, and its trigonometrical number expression formula is:

$f\left(t\right)=A(\frac{1}{2}-\frac{4}{{\mathrm{\&pi;}}^2}\underset{n=1}{\overset{n}{\mathrm{\&Sigma;}}}\frac{1}{{(2n-1)}^2}\cos (2n-1)\mathrm{\&omega;t})$

$=A(\frac{1}{2}-\frac{4}{{\mathrm{\&pi;}}^2}(\cos \mathrm{\&omega;t}+\frac{1}{3^2}\cos 3\mathrm{\&omega;t}+\frac{1}{5^2}\cos 5\mathrm{\&omega;t}+\&CenterDot;\&CenterDot;\&CenterDot;+\frac{1}{{(2n-1)}^2}\cos (2n-1)\mathrm{\&omega;t}))$

Each cosine signal circuit module input (INc) links together, as the input of this circuit; The output of each cosine signal circuit module (OUTc) is connected with each input of same adder (3), and the waveform of adder (3) output is exactly required triangular wave, wherein adder (3) is input adder more than or many inputs adder of being made up of by multistage expansion a plurality of three-input adders, n is a positive integer, value 5-10.

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