US20030141925A1 - Adjustable time constant integrator - Google Patents
Adjustable time constant integrator Download PDFInfo
- Publication number
- US20030141925A1 US20030141925A1 US10/061,007 US6100702A US2003141925A1 US 20030141925 A1 US20030141925 A1 US 20030141925A1 US 6100702 A US6100702 A US 6100702A US 2003141925 A1 US2003141925 A1 US 2003141925A1
- Authority
- US
- United States
- Prior art keywords
- gain
- signal
- variable
- amplifier
- integrator
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06G—ANALOGUE COMPUTERS
- G06G7/00—Devices in which the computing operation is performed by varying electric or magnetic quantities
- G06G7/12—Arrangements for performing computing operations, e.g. operational amplifiers
- G06G7/18—Arrangements for performing computing operations, e.g. operational amplifiers for integration or differentiation; for forming integrals
- G06G7/184—Arrangements for performing computing operations, e.g. operational amplifiers for integration or differentiation; for forming integrals using capacitive elements
- G06G7/186—Arrangements for performing computing operations, e.g. operational amplifiers for integration or differentiation; for forming integrals using capacitive elements using an operational amplifier comprising a capacitor or a resistor in the feedback loop
-
- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
- H03H11/00—Networks using active elements
- H03H11/02—Multiple-port networks
- H03H11/04—Frequency selective two-port networks
Definitions
- the present invention relates to electronic circuits and, more particularly, to adjusting the time constant of an integrator.
- Instrumentation or data acquisition (DAQ) systems are often used to obtain measurement data pertaining to physical phenomena (e.g., force, pressure, acceleration, etc.). Such measurement data is useful in laboratory research and testing, process monitoring and control, and control of mechanical or electrical machinery, to name a few examples.
- a typical analog instrumentation system includes signal conditioning circuitry which performs one or more “signal conditioning” functions upon analog measurement signals. Such signal conditioning functions include amplification, filtering, and direct current (DC) level shifting.
- Signal conditioning circuitry often includes filters used to provide anti-aliasing and noise reduction. Filters provide noise reduction by filtering out extraneous signals above and/or below the frequency range of interest. Anti-aliasing filters are often used to attenuate signals input to or output from a sampling system that have frequencies that exceed half the sampling (or Nyquist) frequency in order to prevent distortion that may arise due to aliasing.
- signal filters pass signal frequencies within a pass band and attenuate signal frequencies within a stop band outside of the pass band.
- a “cutoff frequency” or “corner frequency” f c defines a boundary between the pass band and the stop band.
- Common types of signal filters include low pass, high pass, and band pass filters.
- the pass band of a low pass filter extends from DC (0 Hz) to fc, and the stop band of a low pass filter lies above fc.
- a high pass filter has a pass band above fc, and a stop band including frequencies below fc.
- Graphs of ratios of output voltage to input voltage versus frequency for real (i.e., non-ideal) low and high pass filters have finite slopes within the stop bands.
- Low pass and high pass filters have quality factors or “Qs” which determine the slopes of such graphs within the stop bands.
- Band pass filters have a pass band extending between a low corner frequency fl and a high corner frequency fh.
- Low corner frequency fl defines a boundary between the pass band and a first stop band including frequencies below fl
- high corner frequency fh defines a boundary between the pass band and a second stop band including frequencies above fh.
- Active filters typically use components such as operational amplifiers (op amps), resistors, and capacitors to implement a desired signal filter. Active filters are able to provide signal gains of greater than unity.
- a state variable filter is a versatile type of active filter circuit that provides low pass, high pass, and band pass outputs simultaneously.
- FIG. 1 is a circuit diagram of an exemplary prior art state variable filter 10 with programmable characteristics.
- State variable filter 10 includes two programmable multiplying digital to analog converters (MDACs) 12 A and 12 B that are used to attenuate the input to integrators 16 A and 16 B respectively.
- Digital values provided to and stored within the MDACs (collectively referred to as MDACs 12 ) determine the bandwidth of state variable filter 10 .
- Resistors R1 and R4 are coupled to op amp OA1 to form an inverting summing amplifier with a gain of ⁇ R4/R1.
- the summing amplifier sums the input signal, the amplified band pass signal, and the low pass signal to produce a high pass signal.
- the high pass signal output from OA1 is input to MDAC 12 A.
- MDAC 12 A attenuates the signal being provided to resistor R6.
- Resistor R6 and capacitor C1 are coupled to op amp OA3 to form inverting integrator 16 A.
- Inverting integrator 16 A has a time constant equal to the product of resistance value R6 and feedback capacitance value C1.
- MDAC 12 A and inverting integrator 16 A have a time constant equal to the gain of the MDAC 12 A divided by resistance value R6 and feedback capacitance value C1.
- Inverting integrator 16 A produces the band pass signal and provides an output signal to OA2 through R7 and to the input terminal of MDAC 12 B.
- OA2 is coupled to resistor R5 and resistor R7 to form an inverting amplifier.
- OA2 amplifies or attenuates the band pass signal output from OA3.
- the adjusted band pass output is provided to the input of OA1 through resistor R3.
- MDAC 12 B outputs a signal to inverting integrator 16 B.
- Inverting integrator 16 B includes resistor R8, capacitor C2 and op amp OA4.
- MDAC 12 B and inverting integrator 16 B form another programmable time constant integrator.
- Inverting integrator 16 B produces the low pass output at an output terminal. The low pass output is provided through resistor R2 to the input of OA1.
- the bandwidth for a state-variable filter is typically set by scaling the time constants of the integrating stages within the filter.
- the time constant for an integrator is commonly made adjustable by coupling an MDAC to an input of the integrator so that the time constant of the MDAC-integrator combination can be adjusted, as shown in FIG. 1.
- the addition of the MDAC to the integrator adds a time constant multiplier G the integrator's time constant. This multiplier G is the gain of the MDAC. Typically, G is less than one.
- Two potential problems may arise in the programmable filter design shown in FIG. 1.
- One potential problem is DC offset.
- the gain of the MDACs 12 in FIG. 1 is relatively high, the DC path through the filter will be strong and feedback in the circuit will help to nullify the effects of DC offset.
- the gain of the MDACs 12 is set very low, the DC path through the filter may be constricted, and the DC offset of the filter may dramatically increase.
- the variable gain amplifier may contribute its own DC offset. To make matters worse, the DC offset of the filter may be directly dependent on the filter's bandwidth. Thus, there may be a different DC offset associated with each filter bandwidth setting.
- the second potential problem is noise.
- the time constant of the variable gain integrator is modified by controlling the signal gain going into the integrator. While this changes the time constant of the overall circuit, the integrator itself still has the same time constant independent of any gain setting. The net result is that the inherent noise of the circuit may increase as the filter's bandwidth setting decreases. Unless low noise components are used in the circuit, this may create undesirable noise effects.
- a variable time constant integrator includes an amplifier configured to generate an output signal, a capacitor coupled to provide feedback to the amplifier, and a variable gain element coupled to the output of the amplifier and to the capacitor.
- the variable gain element is configured to provide the product of a gain and the output signal to the capacitor.
- the variable gain element is also configured to receive an indication of a new value of the gain and to responsively set the gain equal to the new value of the gain.
- the indication may be a voltage, and a level of the voltage may indicate the new value of the gain.
- the indication may be a digital value representing the new value of the gain.
- the variable gain element may include a MDAC.
- An instrumentation system may include a transducer configured to convert one or more physical phenomena to an input signal and a signal conditioning subsystem coupled to receive the input signal from the transducer.
- the signal conditioning subsystem may include a filter configured to process the input signal. In order to allow the bandwidth of the filter to be adjusted, the filter may include one or more variable time constant integrators like the one described above.
- the filter may be a state variable filter in some embodiments.
- the instrumentation system may include a computer coupled to the signal conditioning subsystem. The computer system may be configured to receive and store measurement data generated by the signal conditioning subsystem.
- FIG. 1 is a schematic diagram of a typical state variable filter with a programmable bandwidth.
- FIG. 2 shows one embodiment of an integrator circuit that includes a variable gain attenuator in the AC signal path.
- FIG. 3 shows an embodiment of an integrator circuit that includes a MDAC in the AC signal path.
- FIG. 3A shows another embodiment of an integrator circuit.
- FIG. 4 shows one embodiment of a state variable filter circuit.
- FIG. 5 shows one embodiment of a Sallen and Key filter.
- FIG. 6 shows one embodiment of a Friends or multiple feedback filter.
- FIG. 7 is a schematic diagram of one embodiment of a PID controller.
- FIG. 8 is a flowchart of one embodiment of a method of adjusting the time constant of an integrator circuit.
- FIG. 9 illustrates one embodiment of an instrumentation system that may include an integrator circuit like the one shown in FIG. 2.
- FIG. 2 shows one embodiment of a variable time constant inverting integrator 18 with an adjustable AC signal path.
- a variable gain element 20 is coupled in the AC signal path.
- the gain G of variable gain element 20 may be controlled by a digital interface, a voltage, mechanical means such as a knob or switch(es), etc.
- resistor R9 is between the input terminal and the inverting input of op amp OA5.
- Capacitor C3 is coupled to provide feedback to the inverting input of OA5.
- Variable gain element 20 is coupled between the output of OA5 and C3.
- the time constant of integrator 18 A is G*R9*C3.
- variable gain element 20 Since the variable gain element 20 is not in the DC signal path (unlike MDACs 12 of FIG. 1, which are in the DC signal path of each integrator), the DC offset of the inverting integrator may be reduced in some embodiments. Additionally, the inverting integrator's DC offset may be independent of the integrator's time constant in the embodiment shown in FIG. 2. Thus, the DC offset may be the same for most settings of the variable gain element (and consequentially, for most values of the integrator's time constant) in some embodiments. In addition, providing the variable gain element 20 in the AC signal path may reduce the DC offset contribution from the variable gain element, since its output is AC coupled.
- variable time constant integrator 18 shown in FIG. 2 may have improved noise performance. Since adjusting the gain of variable gain element 20 changes the time constant of the inverting integrator (unlike the integrator-MDAC combination shown in FIG. 1, which only changed the time constant of the overall circuit 10 ), variable time constant integrator 18 may provide improved noise performance.
- a variable time constant integrator may be implemented using an MDAC, as shown in FIG. 3.
- an MDAC 22 is used as the variable gain element in the AC signal path.
- the inverting integrator has a digitally programmable time constant.
- a variable time constant integrator like integrator 18 may be used in filters such as a state-variable filter (as shown in FIG. 4), a Sallen and Key filter (as shown in FIG. 5), a VCVS (Voltage Controlled Voltage Source) filter, and a multiple feedback or Friends filter (FIG. 6). Note that these filters are merely exemplary and embodiments of a variable time constant integrator may also be included in other circuits.
- a variable time constant integrator like integrator 18 A or 18 B may also be used in a Proportional, Integral (PI) Controller or a Proportional, Integral, Derivative (PID) controller (as shown FIG. 7) as well as in a lag or a lead-lag controller.
- PI Proportional, Integral
- PID Proportional, Integral, Derivative
- FIG. 3A shows another exemplary embodiment of a variable time constant integrator that includes two compensation elements: a 2 K ⁇ resistor coupled between the inverting input and ground of the first TL062 and a 220 pF capacitor coupled between the output and the inverting input of the first TL062. These compensation elements may be used since, in this particular embodiment, the signal delay through the circuit is non-ideal (i.e., greater than zero).
- the output (OUT) of the integrator 18 is non-inverted.
- the output of the combined LTC1590 MDAC and the second TL062 amplifier is inverted, providing negative feedback.
- one embodiment of an integrator 18 may include two op amps, which may both be part of a single, integrated device (as shown, a dual-amplifier such as a TL062 from Texas Instruments may be used).
- an MDAC such as the LTC1590 from Linear Technology may be used in one embodiment of an integrator 18 .
- the component types and values as well as the arrangement of the components in the circuit shown in FIG. 3A are merely exemplary. Other embodiments may use other component types and values.
- other embodiments of an integrator 18 may arrange components differently and/or include fewer and/or additional components than are shown in FIG. 3A.
- FIG. 4 is a circuit diagram of one embodiment of a state variable filter 10 A that has a variable bandwidth.
- State variable filter 10 A is an active filter since it includes several op amps that require a supply of electrical power during operation.
- State variable filter 10 A includes a summing amplifier 14 , a first integrator 18 A, a second integrator 18 B, and an inverting amplifier 15 .
- Summing amplifier 14 includes an op amp OA1 having a non-inverting input terminal connected to a ground reference potential.
- An inverting input terminal of op amp OA1 receives an input signal through a resistor R4, a low pass signal through a resistor R1, and a gain-adjusted band pass signal through a resistor R2.
- a resistor R3 is connected between an output terminal of op amp OA1 and the inverting input terminal to provide feedback.
- Summing amplifier 22 performs a mathematical summing operation upon the input signal (IN), the low pass signal (LP), and intermediate signal (IM) thereby producing a high pass signal (BP):
- HP - [ ( R3 R4 ) ⁇ IN + ( R3 R1 ) ⁇ LP + ( R3 R2 ) ⁇ IM ]
- First integrator 18 A includes an op amp OA3, which has a non-inverting input terminal connected to the ground reference potential.
- An inverting input terminal of op amp OA3 receives the high pass signal produced by summing amplifier 14 through resistor R6.
- a capacitor C1 is connected between an output terminal of the variable gain element 20 A and the inverting input terminal.
- the input of variable gain element 20 A is connected to the output of OA3.
- Integrator 18 A performs a mathematical integration function upon the high pass signal (HP) thereby producing the band pass signal (BP):
- BP - ( 1 G1 ⁇ R6 ⁇ C1 ) ⁇ ⁇ - ⁇ ⁇ HP ⁇ ⁇ t
- G1 is the gain of the variable gain element 20 A.
- gain G1 of variable gain element 20 A determines the time constant of integrator 18 A.
- a second integrator 18 B includes an op amp OA4.
- Op amp OA4 has a non-inverting input terminal connected to the ground reference potential.
- An inverting input terminal of op amp OA4 receives the intermediate signal produced by integrator 18 A through resistor R8.
- a capacitor C2 is connected between the output terminal of the variable gain element 20 B and the inverting input terminal.
- the input of 20 B is connected to the output of OA4.
- G2 is the gain of variable gain element 20 B.
- gain G2 provided by variable gain element 20 B determines the time constant of integrator 18 B.
- the sum of the high pass and low pass signals may be provided as a notch output in some embodiments.
- variable gain elements 20 A and 20 B determine the corner frequencies fc of the low and high pass signals and the center frequency fo of the band pass signal.
- fc/fo 1 2 ⁇ ⁇ ⁇ ⁇ RCG
- variable gain elements 20 A and 20 B may be adjusted together.
- the variable gain elements 20 include MDACs, they may receive the same digital input value.
- the variable gain elements 20 are controlled by a voltage, the same voltage may be used to control both gain elements.
- G1 may not equal G2.
- the gain elements may be adjusted independently of each other.
- state variable filter 10 A many variations on state variable filter 10 A are contemplated. For example, in some embodiments, additional filter stages may be included.
- FIG. 5 shows one embodiment of a low-pass Sallen and Key filter 30 that includes a variable time constant integrator 18 .
- the embodiment of variable time constant integrator 18 shown in this figure differs slightly from the embodiments shown in FIGS. 2, 3, and 4 .
- the feedback capacitor C4 is coupled between resistors R10 and R11.
- the feedback capacitor is coupled to the inverting input of an op amp.
- variable time constant integrator 18 is configured as a non-inverting integrator.
- an input signal IN is applied to an input terminal of the Sallen and Key filter 30 .
- the input signal is applied to the non-inverting input terminal of op amp OA6 through resistors R10 and R11.
- Capacitor C5 and variable gain element 20 B are coupled to the non-inverting input of op amp OA6.
- Variable gain element 20 B has a gain G2.
- Variable gain element 20 A and capacitor C4 are coupled to provide feedback from the output of op amp OA6 to the non-inverting input of op amp OA6.
- Variable gain element 20 A has a gain G1.
- the output of op amp OA6 is coupled to the inverting input.
- a feedback resistor may be coupled between the output and the inverting input.
- gains G1 and G2 of the variable gain elements 20 A and 20 B By adjusting gains G1 and G2 of the variable gain elements 20 A and 20 B, the bandwidth of the Sallen and Key filter 30 may be adjusted. In some embodiments, gains G1 and G2 may be equal.
- FIG. 6 shows one embodiment of a Friends or multiple feedback filter 40 that includes a variable time constant integrator 18 .
- the Friends filter 40 is configured as a low pass filter.
- the non-inverting input of OA7 is coupled to ground reference potential.
- An input signal IN is provided to the inverting input of op amp OA7 through resistors R12 and R14.
- a first feedback path provides feedback to the inverting input of op amp OA7 through variable gain element 20 A (which has a gain of G1) and capacitor C6.
- a second feedback path provides feedback to the inverting input terminal of OA7 through resistors R13 and R14.
- a capacitor C7 and variable gain element 20 B (which has a gain of G2) are coupled to between R12 and R14. Adjusting the values of G1 and G2 adjusts the time constant of variable time constant integrator 18 , which in turn adjusts the bandwidth of the Friends filter 40 .
- FIG. 7 shows one embodiment of a programmable PID (Proportional, Integral, Derivative) controller 50 that includes a variable time constant integrator 18 .
- a set signal indicating a desired output from a system being controlled
- an error signal indicating the difference between the actual output of the controlled system and the desired output
- OA8 may be an AD620 amplifier.
- Output signals from OA8 are provided as inputs to MDAC 21 , MDAC 23 , and variable time constant integrator 18 .
- MDAC 21 In addition to receiving an output signal from OA8, MDAC 21 also receives a proportional gain signal, P, and outputs a signal to the inverting input of op amp OA9 through resistor R7. Op amp OA9's non-inverting input is tied to ground. Negative feedback is provided through R17. Op amp OA9 amplifies the signal from MDAC 21 and outputs an amplified signal through R18 to op amp OA11.
- MDAC 23 receives the output of OA8 and a derivative gain signal, D, and outputs a signal to the inverting input of op amp OA12 through capacitor C9.
- Op amp OA12 receives negative feedback through R21 and outputs a signal to op amp OA11 through resistor R22.
- variable time constant integrator 18 includes resistor R15, op amp OA10, capacitor C8, and MDAC 22 .
- Op amp OA10 receives an output signal from OA8 via resistor R15.
- An output signal from op amp OA10 and an integral gain signal, I, are input to MDAC 22 .
- Varying the integral gain signal I adjusts the time constant of the variable time constant integrator 18 .
- the output signal from MDAC 22 is fed back to the inverting input of OA10 through feedback capacitor C8.
- the output signal from OA10 is input to OA11 through resistor 20 .
- Output signals from OA10, OA9, and OA12 are input to the inverting input of op amp OA11.
- OA11 receives feedback at its inverting input through resistor R19.
- OA11 outputs a control signal OUT.
- FIG. 8 shows one embodiment of a method of adjusting the time constant of a variable time constant integrator.
- the gain of a variable gain element in the feedback path of an amplifier is adjusted to equal a new gain.
- the gain of the variable gain element may be adjusted by providing a digital value representing the desired gain to the variable gain element (e.g., if the variable gain element is an MDAC) or by adjusting a mechanical input or a voltage that controls the gain of the variable gain element.
- the variable gain element provides the product of the new gain and the output of the amplifier to a capacitor in the feedback path of the amplifier, as shown at 803 .
- FIG. 9 is a perspective view of a computer-based instrumentation system 120 including state variable filter 10 A described above. It is noted that state variable filter 10 A may also be comprised in any number of various systems that use analog signal filters. Thus, FIG. 9 is illustrative only, and various other embodiments are contemplated.
- Instrumentation system 120 includes a computer 122 , an instrumentation device or board 124 , one or more transducers 126 , signal conditioning subsystem 128 , and storage media 130 . Possible applications of these systems include general data acquisition, including image processing/machine vision, instrumentation, industrial automation, process control, or other purposes.
- Signal conditioning subsystem 128 may include one or more signal conditioning modules 144 and one or more terminal blocks 146 housed within a chassis 142 .
- Transducers 126 convert one or more physical phenomena (e.g., force, pressure, or acceleration) to electrical measurement signals. Transducers 126 may be coupled to signal conditioning subsystem 128 by wires or cables and may provide the measurement signals to signal conditioning subsystem 128 via the wires or cables.
- Signal conditioning subsystem 128 conditions (e.g., amplifies, filters, or performs DC level shifting upon) measurement signals received from transducers 126 .
- Signal conditioning subsystem 128 includes at least one state variable filter 20 described above.
- each signal conditioning module 144 may include state variable filter 10 A for filtering a measurement signal produced by one of the transducers 126 .
- Each state variable filter 10 A may receive the measurement signal and simultaneously produce low pass, high pass, and band pass signals.
- Signal conditioning subsystem 128 may produce conditioned measurement data using the low pass, high pass, and/or band pass signals.
- Signal conditioning subsystem 128 may be coupled to computer system 122 and/or an instrumentation device or board 124 by wires or cables, and signal conditioning subsystem 128 may provide the conditioned measurement data to computer system 122 via the wires or cables.
- Chassis 142 may be a signal conditioning extensions for instrumentation (SCXI) chassis
- signal conditioning modules 144 may be SCXI signal conditioning modules
- terminal blocks 146 may be SCXI terminal blocks.
- SCXI is an open architecture, multi-channel signal conditioning front-end system for instrumentation devices.
- SCXI includes an external chassis housing signal conditioning modules for amplifying, multiplexing, and isolating measurement signals. SCXI signal conditioning modules advantageously reduce the introduction of noise into measurement signals.
- Computer 122 may comprise various standard components, including at least one central processing unit (CPU), memory, a hard drive, one or more buses, and a power supply. Computer 122 may execute operating system and other software. Computer may store conditioned measurement data received from signal conditioning subsystem 128 within the memory or upon storage media 130 .
- Storage media 130 may include, for example, magnetic floppy disks.
- Instrumentation device or card 124 may be any of various types, such as a data acquisition (DAQ) device or card, a multimeter card, a voltmeter card, etc.
- DAQ data acquisition
- FIG. 9 instrumentation device or card 124 is shown external to computer system 122 for illustrative purposes.
- Instrument device or board 124 may be coupled to an input/output (I/O) port of computer system 122 , or adapted for insertion into an expansion slot of computer system 122 .
- instrumentation device or board 124 may be coupled to computer 122 by a VME extensions for instrumentation (VXI) chassis and bus or a general purpose interface bus (GPIB).
- VXI VME extensions for instrumentation
- GPS general purpose interface bus
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Mathematical Physics (AREA)
- Theoretical Computer Science (AREA)
- Power Engineering (AREA)
- Software Systems (AREA)
- Computer Hardware Design (AREA)
- General Physics & Mathematics (AREA)
- Networks Using Active Elements (AREA)
Abstract
Description
- The present invention relates to electronic circuits and, more particularly, to adjusting the time constant of an integrator.
- Instrumentation or data acquisition (DAQ) systems are often used to obtain measurement data pertaining to physical phenomena (e.g., force, pressure, acceleration, etc.). Such measurement data is useful in laboratory research and testing, process monitoring and control, and control of mechanical or electrical machinery, to name a few examples. A typical analog instrumentation system includes signal conditioning circuitry which performs one or more “signal conditioning” functions upon analog measurement signals. Such signal conditioning functions include amplification, filtering, and direct current (DC) level shifting.
- Signal conditioning circuitry often includes filters used to provide anti-aliasing and noise reduction. Filters provide noise reduction by filtering out extraneous signals above and/or below the frequency range of interest. Anti-aliasing filters are often used to attenuate signals input to or output from a sampling system that have frequencies that exceed half the sampling (or Nyquist) frequency in order to prevent distortion that may arise due to aliasing.
- In general, signal filters pass signal frequencies within a pass band and attenuate signal frequencies within a stop band outside of the pass band. A “cutoff frequency” or “corner frequency” f c defines a boundary between the pass band and the stop band. Common types of signal filters include low pass, high pass, and band pass filters. The pass band of a low pass filter extends from DC (0 Hz) to fc, and the stop band of a low pass filter lies above fc. A high pass filter has a pass band above fc, and a stop band including frequencies below fc. Graphs of ratios of output voltage to input voltage versus frequency for real (i.e., non-ideal) low and high pass filters have finite slopes within the stop bands. Low pass and high pass filters have quality factors or “Qs” which determine the slopes of such graphs within the stop bands.
- Band pass filters have a pass band extending between a low corner frequency fl and a high corner frequency fh. Low corner frequency fl defines a boundary between the pass band and a first stop band including frequencies below fl, and high corner frequency fh defines a boundary between the pass band and a second stop band including frequencies above fh. A band pass filter has a center frequency fo representing a geometric mean of fh and fl, a bandwidth bw, and a selectivity or Q, where:
- Active filters typically use components such as operational amplifiers (op amps), resistors, and capacitors to implement a desired signal filter. Active filters are able to provide signal gains of greater than unity. A state variable filter is a versatile type of active filter circuit that provides low pass, high pass, and band pass outputs simultaneously.
- As filtering requirements change from application to application, it is highly desirable to be able to vary the characteristics of active filters (e.g., state variable filters) without having to replace resistors and/or capacitors with like components having different values. In many data acquisition systems, filters have electronically programmable bandwidths and/or corner frequencies, making it unnecessary to physically adjust the filter when reconfiguring the data acquisition system.
- FIG. 1 is a circuit diagram of an exemplary prior art
state variable filter 10 with programmable characteristics.State variable filter 10 includes two programmable multiplying digital to analog converters (MDACs) 12A and 12B that are used to attenuate the input to 16A and 16B respectively. Digital values provided to and stored within the MDACs (collectively referred to as MDACs 12) determine the bandwidth ofintegrators state variable filter 10. - Resistors R1 and R4 are coupled to op amp OA1 to form an inverting summing amplifier with a gain of −R4/R1. The summing amplifier sums the input signal, the amplified band pass signal, and the low pass signal to produce a high pass signal.
- The high pass signal output from OA1 is input to MDAC 12A. MDAC 12A attenuates the signal being provided to resistor R6. Resistor R6 and capacitor C1 are coupled to op amp OA3 to form inverting
integrator 16A. Invertingintegrator 16A has a time constant equal to the product of resistance value R6 and feedback capacitance value C1. Together, MDAC 12A and invertingintegrator 16A have a time constant equal to the gain of theMDAC 12A divided by resistance value R6 and feedback capacitance value C1. Invertingintegrator 16A produces the band pass signal and provides an output signal to OA2 through R7 and to the input terminal ofMDAC 12B. - OA2 is coupled to resistor R5 and resistor R7 to form an inverting amplifier. OA2 amplifies or attenuates the band pass signal output from OA3. The adjusted band pass output is provided to the input of OA1 through resistor R3.
- MDAC 12B outputs a signal to inverting
integrator 16B. Invertingintegrator 16B includes resistor R8, capacitor C2 and op amp OA4. MDAC 12B and invertingintegrator 16B form another programmable time constant integrator. Invertingintegrator 16B produces the low pass output at an output terminal. The low pass output is provided through resistor R2 to the input of OA1. - The bandwidth for a state-variable filter is typically set by scaling the time constants of the integrating stages within the filter. The time constant for an integrator is commonly made adjustable by coupling an MDAC to an input of the integrator so that the time constant of the MDAC-integrator combination can be adjusted, as shown in FIG. 1. The addition of the MDAC to the integrator adds a time constant multiplier G the integrator's time constant. This multiplier G is the gain of the MDAC. Typically, G is less than one.
- Two potential problems may arise in the programmable filter design shown in FIG. 1. One potential problem is DC offset. For example, if the gain of the MDACs 12 in FIG. 1 is relatively high, the DC path through the filter will be strong and feedback in the circuit will help to nullify the effects of DC offset. However, if the gain of the MDACs 12 is set very low, the DC path through the filter may be constricted, and the DC offset of the filter may dramatically increase. In addition, the variable gain amplifier may contribute its own DC offset. To make matters worse, the DC offset of the filter may be directly dependent on the filter's bandwidth. Thus, there may be a different DC offset associated with each filter bandwidth setting.
- The second potential problem is noise. The time constant of the variable gain integrator is modified by controlling the signal gain going into the integrator. While this changes the time constant of the overall circuit, the integrator itself still has the same time constant independent of any gain setting. The net result is that the inherent noise of the circuit may increase as the filter's bandwidth setting decreases. Unless low noise components are used in the circuit, this may create undesirable noise effects.
- Various embodiments of a system and method for adjusting the time constant of an integrator are disclosed. In one embodiment, a variable time constant integrator includes an amplifier configured to generate an output signal, a capacitor coupled to provide feedback to the amplifier, and a variable gain element coupled to the output of the amplifier and to the capacitor. The variable gain element is configured to provide the product of a gain and the output signal to the capacitor. The variable gain element is also configured to receive an indication of a new value of the gain and to responsively set the gain equal to the new value of the gain. For example, the indication may be a voltage, and a level of the voltage may indicate the new value of the gain. Similarly, the indication may be a digital value representing the new value of the gain. In one embodiment, the variable gain element may include a MDAC.
- An instrumentation system may include a transducer configured to convert one or more physical phenomena to an input signal and a signal conditioning subsystem coupled to receive the input signal from the transducer. The signal conditioning subsystem may include a filter configured to process the input signal. In order to allow the bandwidth of the filter to be adjusted, the filter may include one or more variable time constant integrators like the one described above. The filter may be a state variable filter in some embodiments. The instrumentation system may include a computer coupled to the signal conditioning subsystem. The computer system may be configured to receive and store measurement data generated by the signal conditioning subsystem.
- A better understanding of the present invention can be obtained when the following detailed description is considered in conjunction with the following drawings, in which:
- FIG. 1 is a schematic diagram of a typical state variable filter with a programmable bandwidth.
- FIG. 2 shows one embodiment of an integrator circuit that includes a variable gain attenuator in the AC signal path.
- FIG. 3 shows an embodiment of an integrator circuit that includes a MDAC in the AC signal path.
- FIG. 3A shows another embodiment of an integrator circuit.
- FIG. 4 shows one embodiment of a state variable filter circuit.
- FIG. 5 shows one embodiment of a Sallen and Key filter.
- FIG. 6 shows one embodiment of a Friends or multiple feedback filter.
- FIG. 7 is a schematic diagram of one embodiment of a PID controller.
- FIG. 8 is a flowchart of one embodiment of a method of adjusting the time constant of an integrator circuit.
- FIG. 9 illustrates one embodiment of an instrumentation system that may include an integrator circuit like the one shown in FIG. 2.
- While the invention is susceptible to various modifications and alternative forms, specific embodiments thereof are shown by way of example in the drawings and will herein be described in detail. It should be understood, however, that the drawings and detailed description thereto are not intended to limit the invention to the particular form disclosed, but on the contrary, the intention is to cover all modifications, equivalents, and alternatives falling within the spirit and scope of the present invention as defined by the appended claims. Note, the headings are for organizational purposes only and are not meant to be used to limit or interpret the description or claims. Furthermore, note that the word “may” is used throughout this application in a permissive sense (i.e., having the potential to, being able to), not a mandatory sense (i.e., must). The term “include” and derivations thereof mean “including, but not limited to.” The term “connected” means “directly or indirectly connected,” and the term “coupled” means “directly or indirectly coupled.”
- Variable Time Constant Integrator
- FIG. 2 shows one embodiment of a variable time
constant inverting integrator 18 with an adjustable AC signal path. In this embodiment, avariable gain element 20 is coupled in the AC signal path. The gain G ofvariable gain element 20 may be controlled by a digital interface, a voltage, mechanical means such as a knob or switch(es), etc. - In FIG. 2, resistor R9 is between the input terminal and the inverting input of op amp OA5. Capacitor C3 is coupled to provide feedback to the inverting input of OA5.
Variable gain element 20 is coupled between the output of OA5 and C3. -
- Accordingly, the time constant of
integrator 18A is G*R9*C3. - Since the
variable gain element 20 is not in the DC signal path (unlike MDACs 12 of FIG. 1, which are in the DC signal path of each integrator), the DC offset of the inverting integrator may be reduced in some embodiments. Additionally, the inverting integrator's DC offset may be independent of the integrator's time constant in the embodiment shown in FIG. 2. Thus, the DC offset may be the same for most settings of the variable gain element (and consequentially, for most values of the integrator's time constant) in some embodiments. In addition, providing thevariable gain element 20 in the AC signal path may reduce the DC offset contribution from the variable gain element, since its output is AC coupled. - In addition to possibly providing improved DC performance, the variable time
constant integrator 18 shown in FIG. 2 may have improved noise performance. Since adjusting the gain ofvariable gain element 20 changes the time constant of the inverting integrator (unlike the integrator-MDAC combination shown in FIG. 1, which only changed the time constant of the overall circuit 10), variable timeconstant integrator 18 may provide improved noise performance. - A variable time constant integrator may be implemented using an MDAC, as shown in FIG. 3. In FIG. 3, an
MDAC 22 is used as the variable gain element in the AC signal path. By using an MDAC, the inverting integrator has a digitally programmable time constant. - A variable time constant integrator like
integrator 18 may be used in filters such as a state-variable filter (as shown in FIG. 4), a Sallen and Key filter (as shown in FIG. 5), a VCVS (Voltage Controlled Voltage Source) filter, and a multiple feedback or Friends filter (FIG. 6). Note that these filters are merely exemplary and embodiments of a variable time constant integrator may also be included in other circuits. For example, a variable time constant integrator like 18A or 18B may also be used in a Proportional, Integral (PI) Controller or a Proportional, Integral, Derivative (PID) controller (as shown FIG. 7) as well as in a lag or a lead-lag controller.integrator - In some embodiments, additional compensation elements may be included in a variable time
constant integrator 18. These compensation elements may improve stability in some embodiments. FIG. 3A shows another exemplary embodiment of a variable time constant integrator that includes two compensation elements: a 2 KΩ resistor coupled between the inverting input and ground of the first TL062 and a 220 pF capacitor coupled between the output and the inverting input of the first TL062. These compensation elements may be used since, in this particular embodiment, the signal delay through the circuit is non-ideal (i.e., greater than zero). - In the embodiment of FIG. 3A, the output (OUT) of the
integrator 18 is non-inverted. However, the output of the combined LTC1590 MDAC and the second TL062 amplifier is inverted, providing negative feedback. As shown, one embodiment of anintegrator 18 may include two op amps, which may both be part of a single, integrated device (as shown, a dual-amplifier such as a TL062 from Texas Instruments may be used). Similarly, an MDAC such as the LTC1590 from Linear Technology may be used in one embodiment of anintegrator 18. Note that the component types and values as well as the arrangement of the components in the circuit shown in FIG. 3A are merely exemplary. Other embodiments may use other component types and values. Furthermore, other embodiments of anintegrator 18 may arrange components differently and/or include fewer and/or additional components than are shown in FIG. 3A. - State Variable Filter
- FIG. 4 is a circuit diagram of one embodiment of a state
variable filter 10A that has a variable bandwidth. Statevariable filter 10A is an active filter since it includes several op amps that require a supply of electrical power during operation. Statevariable filter 10A includes a summingamplifier 14, afirst integrator 18A, asecond integrator 18B, and an invertingamplifier 15. - Summing
amplifier 14 includes an op amp OA1 having a non-inverting input terminal connected to a ground reference potential. An inverting input terminal of op amp OA1 receives an input signal through a resistor R4, a low pass signal through a resistor R1, and a gain-adjusted band pass signal through a resistor R2. A resistor R3 is connected between an output terminal of op amp OA1 and the inverting input terminal to provide feedback. Summingamplifier 22 performs a mathematical summing operation upon the input signal (IN), the low pass signal (LP), and intermediate signal (IM) thereby producing a high pass signal (BP): -
First integrator 18A includes an op amp OA3, which has a non-inverting input terminal connected to the ground reference potential. An inverting input terminal of op amp OA3 receives the high pass signal produced by summingamplifier 14 through resistor R6. A capacitor C1 is connected between an output terminal of thevariable gain element 20A and the inverting input terminal. The input ofvariable gain element 20A is connected to the output of OA3.Integrator 18A performs a mathematical integration function upon the high pass signal (HP) thereby producing the band pass signal (BP): - where G1 is the gain of the
variable gain element 20A. Along with C1 and R6, gain G1 ofvariable gain element 20A determines the time constant ofintegrator 18A. - A
second integrator 18B includes an op amp OA4. Op amp OA4 has a non-inverting input terminal connected to the ground reference potential. An inverting input terminal of op amp OA4 receives the intermediate signal produced byintegrator 18A through resistor R8. A capacitor C2 is connected between the output terminal of thevariable gain element 20B and the inverting input terminal. The input of 20B is connected to the output of OA4.Integrator 18B performs a mathematical integration function upon the band pass signal (BP) thereby producing the low pass signal (LP): - where G2 is the gain of
variable gain element 20B. Along with C2 and R8, gain G2 provided byvariable gain element 20B determines the time constant ofintegrator 18B. The sum of the high pass and low pass signals may be provided as a notch output in some embodiments. - Inverting
amplifier 15 includes an op amp OA2 having a non-inverting input terminal connected to the ground reference potential. An inverting input terminal of op amp OA2 receives the band pass signal produced byintegrator 18A through a resistor R7. A resistor R5 is connected between an output terminal of op amp OA2 and the inverting input terminal. Invertingamplifier 15 amplifies or attenuates the band pass signal (BP) produced byfirst integrator 18A thereby producing the intermediate signal (IM): -
- where G1=G2=G, R6=R8=R, and C1=C2=C. Thus, by adjusting the gain settings of the variable gain elements, the bandwidth and corner frequencies may be varied.
- In embodiments where G1=G2 (as described above), the
20A and 20B (collectively referred to as variable gain elements 20) may be adjusted together. For example, if thevariable gain elements variable gain elements 20 include MDACs, they may receive the same digital input value. Similarly, if thevariable gain elements 20 are controlled by a voltage, the same voltage may be used to control both gain elements. Note that in other embodiments, however, G1 may not equal G2. In such embodiments, the gain elements may be adjusted independently of each other. Furthermore, many variations on statevariable filter 10A are contemplated. For example, in some embodiments, additional filter stages may be included. - Sallen and Key Filter
- FIG. 5 shows one embodiment of a low-pass Sallen and
Key filter 30 that includes a variable timeconstant integrator 18. The embodiment of variable timeconstant integrator 18 shown in this figure differs slightly from the embodiments shown in FIGS. 2, 3, and 4. In this embodiment, the feedback capacitor C4 is coupled between resistors R10 and R11. In contrast, in FIGS. 2-4, the feedback capacitor is coupled to the inverting input of an op amp. Additionally, in this embodiment, variable timeconstant integrator 18 is configured as a non-inverting integrator. - As shown in FIG. 5, an input signal IN is applied to an input terminal of the Sallen and
Key filter 30. The input signal is applied to the non-inverting input terminal of op amp OA6 through resistors R10 and R11. Capacitor C5 andvariable gain element 20B are coupled to the non-inverting input of op amp OA6.Variable gain element 20B has a gain G2.Variable gain element 20A and capacitor C4 are coupled to provide feedback from the output of op amp OA6 to the non-inverting input of op amp OA6.Variable gain element 20A has a gain G1. In this embodiment, the output of op amp OA6 is coupled to the inverting input. Note that in other embodiments, a feedback resistor may be coupled between the output and the inverting input. - By adjusting gains G1 and G2 of the
20A and 20B, the bandwidth of the Sallen andvariable gain elements Key filter 30 may be adjusted. In some embodiments, gains G1 and G2 may be equal. - Friends Filter
- FIG. 6 shows one embodiment of a Friends or
multiple feedback filter 40 that includes a variable timeconstant integrator 18. In this embodiment, the Friends filter 40 is configured as a low pass filter. The non-inverting input of OA7 is coupled to ground reference potential. An input signal IN is provided to the inverting input of op amp OA7 through resistors R12 and R14. A first feedback path provides feedback to the inverting input of op amp OA7 throughvariable gain element 20A (which has a gain of G1) and capacitor C6. A second feedback path provides feedback to the inverting input terminal of OA7 through resistors R13 and R14. A capacitor C7 andvariable gain element 20B (which has a gain of G2) are coupled to between R12 and R14. Adjusting the values of G1 and G2 adjusts the time constant of variable timeconstant integrator 18, which in turn adjusts the bandwidth of theFriends filter 40. - PID Controller
- FIG. 7 shows one embodiment of a programmable PID (Proportional, Integral, Derivative)
controller 50 that includes a variable timeconstant integrator 18. As shown, a set signal (indicating a desired output from a system being controlled) and an error signal (indicating the difference between the actual output of the controlled system and the desired output) are provided to a comparator OA8. In one embodiment, OA8 may be an AD620 amplifier. Output signals from OA8 are provided as inputs toMDAC 21,MDAC 23, and variable timeconstant integrator 18. - In addition to receiving an output signal from OA8,
MDAC 21 also receives a proportional gain signal, P, and outputs a signal to the inverting input of op amp OA9 through resistor R7. Op amp OA9's non-inverting input is tied to ground. Negative feedback is provided through R17. Op amp OA9 amplifies the signal fromMDAC 21 and outputs an amplified signal through R18 to op amp OA11. -
MDAC 23 receives the output of OA8 and a derivative gain signal, D, and outputs a signal to the inverting input of op amp OA12 through capacitor C9. Op amp OA12 receives negative feedback through R21 and outputs a signal to op amp OA11 through resistor R22. - In this embodiment, variable time
constant integrator 18 includes resistor R15, op amp OA10, capacitor C8, andMDAC 22. Op amp OA10 receives an output signal from OA8 via resistor R15. An output signal from op amp OA10 and an integral gain signal, I, are input toMDAC 22. Varying the integral gain signal I adjusts the time constant of the variable timeconstant integrator 18. The output signal fromMDAC 22 is fed back to the inverting input of OA10 through feedback capacitor C8. The output signal from OA10 is input to OA11 throughresistor 20. - Output signals from OA10, OA9, and OA12 are input to the inverting input of op amp OA11. OA11 receives feedback at its inverting input through resistor R19. OA11 outputs a control signal OUT.
- FIG. 8 shows one embodiment of a method of adjusting the time constant of a variable time constant integrator. At 801, the gain of a variable gain element in the feedback path of an amplifier is adjusted to equal a new gain. The gain of the variable gain element may be adjusted by providing a digital value representing the desired gain to the variable gain element (e.g., if the variable gain element is an MDAC) or by adjusting a mechanical input or a voltage that controls the gain of the variable gain element. The variable gain element provides the product of the new gain and the output of the amplifier to a capacitor in the feedback path of the amplifier, as shown at 803.
- Instrumentation System
- FIG. 9 is a perspective view of a computer-based
instrumentation system 120 including statevariable filter 10A described above. It is noted that statevariable filter 10A may also be comprised in any number of various systems that use analog signal filters. Thus, FIG. 9 is illustrative only, and various other embodiments are contemplated. -
Instrumentation system 120 includes acomputer 122, an instrumentation device orboard 124, one ormore transducers 126,signal conditioning subsystem 128, andstorage media 130. Possible applications of these systems include general data acquisition, including image processing/machine vision, instrumentation, industrial automation, process control, or other purposes.Signal conditioning subsystem 128 may include one or moresignal conditioning modules 144 and one or moreterminal blocks 146 housed within achassis 142.Transducers 126 convert one or more physical phenomena (e.g., force, pressure, or acceleration) to electrical measurement signals.Transducers 126 may be coupled to signalconditioning subsystem 128 by wires or cables and may provide the measurement signals to signalconditioning subsystem 128 via the wires or cables. -
Signal conditioning subsystem 128 conditions (e.g., amplifies, filters, or performs DC level shifting upon) measurement signals received fromtransducers 126.Signal conditioning subsystem 128 includes at least onestate variable filter 20 described above. For example, eachsignal conditioning module 144 may include statevariable filter 10A for filtering a measurement signal produced by one of thetransducers 126. Each statevariable filter 10A may receive the measurement signal and simultaneously produce low pass, high pass, and band pass signals.Signal conditioning subsystem 128 may produce conditioned measurement data using the low pass, high pass, and/or band pass signals.Signal conditioning subsystem 128 may be coupled tocomputer system 122 and/or an instrumentation device orboard 124 by wires or cables, andsignal conditioning subsystem 128 may provide the conditioned measurement data tocomputer system 122 via the wires or cables. -
Chassis 142 may be a signal conditioning extensions for instrumentation (SCXI) chassis,signal conditioning modules 144 may be SCXI signal conditioning modules, andterminal blocks 146 may be SCXI terminal blocks. SCXI is an open architecture, multi-channel signal conditioning front-end system for instrumentation devices. SCXI includes an external chassis housing signal conditioning modules for amplifying, multiplexing, and isolating measurement signals. SCXI signal conditioning modules advantageously reduce the introduction of noise into measurement signals. -
Computer 122 may comprise various standard components, including at least one central processing unit (CPU), memory, a hard drive, one or more buses, and a power supply.Computer 122 may execute operating system and other software. Computer may store conditioned measurement data received fromsignal conditioning subsystem 128 within the memory or uponstorage media 130.Storage media 130 may include, for example, magnetic floppy disks. - Instrumentation device or
card 124 may be any of various types, such as a data acquisition (DAQ) device or card, a multimeter card, a voltmeter card, etc. In FIG. 9, instrumentation device orcard 124 is shown external tocomputer system 122 for illustrative purposes. Instrument device orboard 124 may be coupled to an input/output (I/O) port ofcomputer system 122, or adapted for insertion into an expansion slot ofcomputer system 122. Alternately, instrumentation device orboard 124 may be coupled tocomputer 122 by a VME extensions for instrumentation (VXI) chassis and bus or a general purpose interface bus (GPIB). - Although the system and method of the present invention has been described in connection with several embodiments, it is not intended to be limited to the specific forms set forth herein, but on the contrary, it is intended to cover such alternatives, modifications, and equivalents, as can be reasonably included within the spirit and scope of the invention as defined by the appended claims.
Claims (15)
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US10/061,007 US6608516B1 (en) | 2002-01-30 | 2002-01-30 | Adjustable time constant integrator |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US10/061,007 US6608516B1 (en) | 2002-01-30 | 2002-01-30 | Adjustable time constant integrator |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| US20030141925A1 true US20030141925A1 (en) | 2003-07-31 |
| US6608516B1 US6608516B1 (en) | 2003-08-19 |
Family
ID=27610126
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| US10/061,007 Expired - Lifetime US6608516B1 (en) | 2002-01-30 | 2002-01-30 | Adjustable time constant integrator |
Country Status (1)
| Country | Link |
|---|---|
| US (1) | US6608516B1 (en) |
Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20060021435A1 (en) * | 2004-07-27 | 2006-02-02 | Impact Technologies, Llc | Sensor for measuring jerk and a method for use thereof |
| US20070276545A1 (en) * | 2006-04-28 | 2007-11-29 | Smirnov Alexei V | Adaptive response time closed loop control algorithm |
| US20090322358A1 (en) * | 2008-06-30 | 2009-12-31 | Hioki Denki Kabushiki Kaisha | Resistance measuring apparatus |
| US20150276405A1 (en) * | 2013-01-22 | 2015-10-01 | MCube Inc. | Integrated mems inertial sensing device |
| CN117713746A (en) * | 2024-02-05 | 2024-03-15 | 成都凯天电子股份有限公司 | Piezoelectric signal conditioning circuit |
Families Citing this family (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6741120B1 (en) * | 2001-08-07 | 2004-05-25 | Globespanvirata, Inc. | Low power active filter and method |
| TWI222269B (en) * | 2003-01-10 | 2004-10-11 | Realtek Semiconductor Corp | Operation amplifier circuit having ladder-shaped resistor framework |
| US6759975B1 (en) * | 2003-06-19 | 2004-07-06 | National Semiconductor Corporation | Digital-to-analog converter with a shifted output and an increased range |
| KR100673483B1 (en) * | 2004-11-25 | 2007-01-24 | 한국전자통신연구원 | Multiplying Digital-to-Analog Converters and Multi-Path Pipeline Analog-to-Digital Converters Using the Same |
| EP2200176A1 (en) | 2008-12-19 | 2010-06-23 | Dialog Semiconductor GmbH | Adjustable integrator using a single capacitance |
| US7830197B2 (en) * | 2008-12-22 | 2010-11-09 | Dialog Semiconductor Gmbh | Adjustable integrator using a single capacitance |
| US10778189B1 (en) * | 2019-09-06 | 2020-09-15 | Analog Devices, Inc. | Source follower-based sallen-key architecture |
Family Cites Families (8)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4896672A (en) * | 1988-03-28 | 1990-01-30 | Hewlett-Packard Company | Hardware corection scheme for inter-frame image jitter in a scanning probe ultrasound imaging system |
| US5235223A (en) * | 1991-08-29 | 1993-08-10 | Harman International Industries, Inc. | Constant Q peaking filter utilizing synthetic inductor and simulated capacitor |
| US5557267A (en) * | 1993-04-23 | 1996-09-17 | Ade Corporation | Apparatus and methods for measurement system calibration |
| JPH0927722A (en) * | 1995-07-12 | 1997-01-28 | Fuji Xerox Co Ltd | Variable gain amplification device |
| US6060935A (en) * | 1997-10-10 | 2000-05-09 | Lucent Technologies Inc. | Continuous time capacitor-tuner integrator |
| US6367020B1 (en) * | 1998-03-09 | 2002-04-02 | Micron Technology, Inc. | System for automatically initiating a computer security and/or screen saver mode |
| US6160448A (en) * | 1999-07-12 | 2000-12-12 | Aphex Systems | Digitally-controlled low noise variable-gain amplifier |
| US20010033196A1 (en) | 2000-01-20 | 2001-10-25 | National Instruments Corporation | State variable filter including a programmable variable resistor |
-
2002
- 2002-01-30 US US10/061,007 patent/US6608516B1/en not_active Expired - Lifetime
Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20060021435A1 (en) * | 2004-07-27 | 2006-02-02 | Impact Technologies, Llc | Sensor for measuring jerk and a method for use thereof |
| US20070276545A1 (en) * | 2006-04-28 | 2007-11-29 | Smirnov Alexei V | Adaptive response time closed loop control algorithm |
| US7603186B2 (en) * | 2006-04-28 | 2009-10-13 | Advanced Energy Industries, Inc. | Adaptive response time closed loop control algorithm |
| US20090322358A1 (en) * | 2008-06-30 | 2009-12-31 | Hioki Denki Kabushiki Kaisha | Resistance measuring apparatus |
| US8914249B2 (en) * | 2008-06-30 | 2014-12-16 | Hioki Denki Kabushiki Kaisha | Resistance measuring apparatus |
| US20150276405A1 (en) * | 2013-01-22 | 2015-10-01 | MCube Inc. | Integrated mems inertial sensing device |
| US9513122B2 (en) * | 2013-01-22 | 2016-12-06 | MCube Inc. | Integrated MEMs inertial sensing device with automatic gain control |
| US10393526B2 (en) * | 2013-01-22 | 2019-08-27 | Mcube, Inc. | Integrated MEMS inertial sensing device |
| CN117713746A (en) * | 2024-02-05 | 2024-03-15 | 成都凯天电子股份有限公司 | Piezoelectric signal conditioning circuit |
Also Published As
| Publication number | Publication date |
|---|---|
| US6608516B1 (en) | 2003-08-19 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| US6608516B1 (en) | Adjustable time constant integrator | |
| US7460046B2 (en) | Sigma-delta modulators | |
| EP2346167A1 (en) | Resonator and oversampling a/d converter | |
| US20010033196A1 (en) | State variable filter including a programmable variable resistor | |
| CN113890504A (en) | Vibration sensor signal conditioning circuit topological structure | |
| US5646569A (en) | Method and apparatus for AC coupling | |
| EP0967719A1 (en) | Circuit device for cancelling glitches in a switched capacitor low-pass filter and corresponding filter | |
| EP1898526B1 (en) | Low-pass filter and voltage-current conversion circuit used in the same | |
| DE102015117109A1 (en) | Digitally controlled output amplitude of an analog sensor signal | |
| CN106411321B (en) | Optimized analog signal Conditioning circuit and working method thereof | |
| JPH05114836A (en) | Integrated filter circuit and adjusting method thereof | |
| JPH06103328B2 (en) | Ratio measuring circuit and device | |
| JPH04148388A (en) | Variable time constant differentiator | |
| EP1176711B1 (en) | Apparatus and method for electrical signal amplification | |
| JPH07109966B2 (en) | Amplifier circuit | |
| JP4720308B2 (en) | Impedance conversion circuit | |
| EP0680151A1 (en) | Analog-to-digital conversion device for low frequency low amplitude differential signals | |
| CN112769412A (en) | Double-operational-amplifier elliptic function and inverse Chebyshev active low-pass filter circuit | |
| Shah et al. | CFA-based three input and two outputs voltage-mode universal filter | |
| JPH01196910A (en) | Integrated active low-pass primary filter | |
| Shah et al. | Synthesis of SIFO electronically tunable log-domain universal biquad | |
| JP2001183396A (en) | Differential probe | |
| JP4328861B2 (en) | Active filter | |
| EP4400816A1 (en) | High-bandwidth vibration sensor | |
| CN108886343A (en) | Negative feedback amplifier circuit |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| AS | Assignment |
Owner name: NATIONAL INSTRUMENTS CORPORATION, TEXAS Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNOR:LENNOUS, PAUL A.;REEL/FRAME:012574/0441 Effective date: 20020130 |
|
| STCF | Information on status: patent grant |
Free format text: PATENTED CASE |
|
| CC | Certificate of correction | ||
| FPAY | Fee payment |
Year of fee payment: 4 |
|
| FPAY | Fee payment |
Year of fee payment: 8 |
|
| FPAY | Fee payment |
Year of fee payment: 12 |
|
| AS | Assignment |
Owner name: WELLS FARGO BANK, NATIONAL ASSOCIATION, NORTH CAROLINA Free format text: SECURITY INTEREST;ASSIGNORS:NATIONAL INSTRUMENTS CORPORATION;PHASE MATRIX, INC.;REEL/FRAME:052935/0001 Effective date: 20200612 |
|
| AS | Assignment |
Owner name: WELLS FARGO BANK, NATIONAL ASSOCIATION, NORTH CAROLINA Free format text: SECURITY INTEREST;ASSIGNOR:NATIONAL INSTRUMENTS CORPORATION;REEL/FRAME:057280/0028 Effective date: 20210618 |
|
| AS | Assignment |
Owner name: NATIONAL INSTRUMENTS CORPORATION, TEXAS Free format text: RELEASE OF SECURITY INTEREST IN PATENTS (REEL/FRAME 057280/0028);ASSIGNOR:WELLS FARGO BANK, NATIONAL ASSOCIATION, AS ADMINISTRATIVE AGENT;REEL/FRAME:065231/0466 Effective date: 20231011 Owner name: PHASE MATRIX, INC., CALIFORNIA Free format text: RELEASE OF SECURITY INTEREST IN PATENTS (REEL/FRAME 052935/0001);ASSIGNOR:WELLS FARGO BANK, NATIONAL ASSOCIATION, AS ADMINISTRATIVE AGENT;REEL/FRAME:065653/0463 Effective date: 20231011 Owner name: NATIONAL INSTRUMENTS CORPORATION, TEXAS Free format text: RELEASE OF SECURITY INTEREST IN PATENTS (REEL/FRAME 052935/0001);ASSIGNOR:WELLS FARGO BANK, NATIONAL ASSOCIATION, AS ADMINISTRATIVE AGENT;REEL/FRAME:065653/0463 Effective date: 20231011 |