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WO1986007219A1 - Phase modulators - Google Patents

Phase modulators Download PDF

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Publication number
WO1986007219A1
WO1986007219A1 PCT/GB1986/000283 GB8600283W WO8607219A1 WO 1986007219 A1 WO1986007219 A1 WO 1986007219A1 GB 8600283 W GB8600283 W GB 8600283W WO 8607219 A1 WO8607219 A1 WO 8607219A1
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WIPO (PCT)
Prior art keywords
signal
output
phase modulator
output voltage
dependence
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PCT/GB1986/000283
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French (fr)
Inventor
Colin Attenborough
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Plessey Overseas Ltd
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Plessey Overseas Ltd
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Publication of WO1986007219A1 publication Critical patent/WO1986007219A1/en
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Classifications

    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03LAUTOMATIC CONTROL, STARTING, SYNCHRONISATION OR STABILISATION OF GENERATORS OF ELECTRONIC OSCILLATIONS OR PULSES
    • H03L7/00Automatic control of frequency or phase; Synchronisation
    • H03L7/06Automatic control of frequency or phase; Synchronisation using a reference signal applied to a frequency- or phase-locked loop
    • H03L7/16Indirect frequency synthesis, i.e. generating a desired one of a number of predetermined frequencies using a frequency- or phase-locked loop
    • H03L7/18Indirect frequency synthesis, i.e. generating a desired one of a number of predetermined frequencies using a frequency- or phase-locked loop using a frequency divider or counter in the loop
    • H03L7/197Indirect frequency synthesis, i.e. generating a desired one of a number of predetermined frequencies using a frequency- or phase-locked loop using a frequency divider or counter in the loop a time difference being used for locking the loop, the counter counting between numbers which are variable in time or the frequency divider dividing by a factor variable in time, e.g. for obtaining fractional frequency division
    • H03L7/1974Indirect frequency synthesis, i.e. generating a desired one of a number of predetermined frequencies using a frequency- or phase-locked loop using a frequency divider or counter in the loop a time difference being used for locking the loop, the counter counting between numbers which are variable in time or the frequency divider dividing by a factor variable in time, e.g. for obtaining fractional frequency division for fractional frequency division
    • H03L7/1976Indirect frequency synthesis, i.e. generating a desired one of a number of predetermined frequencies using a frequency- or phase-locked loop using a frequency divider or counter in the loop a time difference being used for locking the loop, the counter counting between numbers which are variable in time or the frequency divider dividing by a factor variable in time, e.g. for obtaining fractional frequency division for fractional frequency division using a phase accumulator for controlling the counter or frequency divider
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03KPULSE TECHNIQUE
    • H03K7/00Modulating pulses with a continuously-variable modulating signal
    • H03K7/08Duration or width modulation ; Duty cycle modulation
    • HELECTRICITY
    • H03ELECTRONIC CIRCUITRY
    • H03LAUTOMATIC CONTROL, STARTING, SYNCHRONISATION OR STABILISATION OF GENERATORS OF ELECTRONIC OSCILLATIONS OR PULSES
    • H03L7/00Automatic control of frequency or phase; Synchronisation
    • H03L7/06Automatic control of frequency or phase; Synchronisation using a reference signal applied to a frequency- or phase-locked loop
    • H03L7/08Details of the phase-locked loop
    • H03L7/081Details of the phase-locked loop provided with an additional controlled phase shifter

Definitions

  • This invention relates to phase modulators, and in particular to the use of such phase modulators in frequency synthesisers of the fractional N type.
  • phase modulator can delay pulses of an input pulse train by an amount which is dependent upon an analogue control signal.
  • phase modulator can be included in a frequency synthesiser of the fractional N type in order to provide a means for compensating for a ripple signal tending to be produced in the synthesiser, which ripple signal causes frequency modulation of an output signal of the synthesiser.
  • phase modulator in frequency synthesisers of the fractional N type is disadvantageous in that the analogue control signal is derived from a logic signal produced at an output of an arithmetic unit, and this necessitates the inclusion of a means for converting the logic signal into the analogue control signal.
  • a digital to analogue converter (DAC) is conventionally used for the said means for converting, but the need to include such a converter is disadvantageous in that the DAC cannot be easily integrated into the type of logic array now generally used to implement digital circuitry of synthesisers of the fractional N type, and a high degree of linearity in the DAC is required for cancellation of the ripple signal.
  • the present invention is directed to providing a phase modulator which can be incorporated into a frequency synthesiser of the fractional N type so as to eliminate the need to include a digital to analogue converter.
  • a phase modulator comprising a circuit element arranged to provide an output voltage which can be changed from a initial level, means operative to effect change, at a time dependent upon receipt by the phase modulator of a clocking edge of a reference clocking signal, of the output voltage at a constant rate for a predetermined duration, means operative subsequently to return the output voltage of the circuit element to said initial level at a constant rate, a generator for generating an output pulse in dependence upon the return of the output voltage to said initial level, and means for altering the rate of change or the rate of return of the output voltage of the circuit element in dependence upon a control signal, thereby enabling the time of generation of the output pulse to be varied relative to the clocking edge in dependence upon the control signal.
  • the time of generation of the output pulse is preferably varied relative to the clocking edge in dependence upon the duration of the control signal.
  • Phase modulators embodying the present invention are advantageous in that they can be incorporated into fractional N type frequency synthesisers in order to eliminate the need to include a DAC, and consequently, the aforesaid disadvantages can be alleviated.
  • the circuit element of the phase modulator may be an integrator.
  • the means operative to effect change may be a constant current source which is enabled by the reference clocking signal, the means operative to return the output voltage nay be a constant current source enabled by an enabling signal generated by the generator, and the means for altering the rate of change or rate of return of the output voltage may be a constant current source enabled by the control signal.
  • the generator may comprise a comparator for comparing the output voltage of the integrator with a reference voltage to produce an output signal dependent upon the comparison, and a bistable circuit for generating the output pulse and the enabling signal in response to the reference clocking signal and the output signal of the comparator.
  • a frequency synthesiser of the fractional N type comprising a phase locked loop (PLL) having a voltage controlled oscillator for producing an output signal which is afforded to a phase detector via a divider, which phase detector is arranged to provide a control signal for the voltage controlled oscillator in the presence of a phase difference between a reference signal from a reference source and the signal afforded thereto from the divider, enabling means for enabling the division ratio of the divider to be varied in a fractional N mode so that the output signal can be frequency divided in steps smaller than the frequency of the reference signal, and compensating means for compensating for a ripple signal tending to be produced in the PLL and the enabling means, the ripple signal causing frequency modulation of the output signal, wherein the compensating means comprises a phase modulator as defined above, which phase modulator is operative to delay, in dependence upon the control signal, the reference signal relative to the signal afforded to the phase detector or to delay the signal afforded to the phase detector relative to
  • the means for generating the control signal may comprise a down counter which is clocked in dependence upon the output signal from the voltage controlled oscillator, and is fed with data from an arithmetic unit of the enabling means.
  • the phase modulator may alternatively be arranged to be operative to delay in dependence upon a plurality of control signals, respective control signals being generated by respective means for generating the control signals, wherein each means is fed with data from a different decade of an arithmetic unit of the enabling means.
  • Figure 1 is a schematic block diagram of a phase modulator embodying the present invention
  • Figure 2 is a waveform diagram used to assist explanation of the operation of the phase modulator of Figure 1;
  • Figure 3 is a block diagram of a phase locked loop indirect frequency synthesiser;
  • Figure 4 is a block diagram of a fractional N frequency synthesiser
  • Figure 5 is a block diagram of a compensated fractional N frequency synthesiser
  • Figure 6 is a block diagram of a fractional N frequency synthesiser incorporating a phase modulator embodying the present invention
  • Figure 7a is a block diagram of a means for generating a control signal for the phase modulator
  • Figure 7b is a waveform diagram to be used to explain the operation of the means of Figure 7a;
  • FIG. 8 is a block diagram of an alternative fractional N frequency synthesiser incorporating a phase modulator embodying the present invention.
  • Figure 9 is a waveform diagram to show the timing of various events in the arrangement illustrated in Figure 8.
  • phase modulator which is arranged to receive a reference clocking signal F ref and is operative to provide an output pulse train, the pulses of which are delayed (relative to the clocking edges which give rise to the generation of the output pulses) by an amount which is dependent upon a control signal.
  • the phase modulator comprises a circuit element in the form of an integrator 1 which is made up of an operational amplifier 2 and a feedback capacitor C 1 .
  • the output voltage V of the integrator 1 is set at an initial predetermined level V 1 , and the positive input to the operational amplifier 2 is connected to a reference voltage V 2 .
  • the negative input to the operational amplifier 2 is connected to a constant current source 3 which is operative to permit a constant current I c to flow into the integrator 1 and also to a pair of constant current sources 4 and 5 which are operative to permit constant currents I d and ⁇ l d to flow from the integrator 1.
  • the phase modulator also comprises a generator 6 which includes a comparator 7 in the form of an operational amplifier and a bistable circuit such as a flip-flop 8.
  • the negative input of the comparator 7 is connected to a reference voltage V4 and the positive input is connected to the output of the operational amplifier 2 of the integrator 1.
  • the flip-flop 8 is operative to provide an enabling signal at its Q 1 output, which enabling signal is used to switch the constant current source 4, and also to provide the output pulse train at its Q 1 output.
  • the output of the comparator 7 is operative to reset the Q 1 output to logical zero in dependence upon the output voltage V of the integrator 1.
  • the output voltage V of the integrator 1 is set to be V 1 when the phase modulator is in steady state, that is, when the constant current sources 3,4 and 5 are all switched off.
  • the constant current source 3 is arranged to be switched on for a duration of T 1 which is half a period of F ref , for example, when the level of F ref is high.
  • the constant current source 3 When the constant current source 3 is switched on, the constant current I c flows into the integrator 1 which causes the output voltage V of the integrator to fall at a constant rate from the initial value of V 1 .
  • the total drop in voltage is ⁇ v over the period of T 1 and is indicated by the dotted line A in Figure 2.
  • the constant current source 3 is switched off and the output voltage V of the integrator 1 ceases to fall.
  • the flip-flop 8 is triggered by the falling edge (1/0 transition) of F ref and the Q 1 output becomes high.
  • the high Q 1 output of the flip-flop 8 enables the constant current source 4 and hence, the constant current I d flows from the integrator 1 thereby causing the output voltage V of the integrator 1 to rise (as indicated by the dotted line B in Figure 2).
  • the comparator 7 When the output voltage V of the integrator 1 becomes equal to the reference voltage V4 (which is equal to V 1 ) after a time of T 2 , the comparator 7 generates an output pulse of voltage V 3 . This output pulse resets the flip-flop 8 so that the Q 1 output returns to logical zero and the constant current source 4 is switched off.
  • the change of the Q 1 output from 1 to 0 corresponds to a rise of 0 to 1 of the output of the flip-flop 8.
  • the rising edge of the output is an output pulse of the output pulse train of the phase modulator.
  • a further constant current source 5 is connected to the negative input of the integrator 1 and is switched on by a control signal fed to the phase modulator. When switched on, a constant current ⁇ I d flows from the integrator 1 which effectively alters the rate of rise or fall of the output voltage V of the integrator 1.
  • the current ⁇ l d is switched on for a time duration T p when the current I c is flowing into the integrator 1.
  • This has the effect of reducing the rate of fall of output voltage V of the integrator 1, which means that the output voltage V of the integrator 1 does not fall to the level ⁇ v below V 1 during the time (T 1 ) for which the current I c flows. Consequently, when the current ⁇ I d flows, the output voltage V of the integrator 1 is returned to V 1 sooner than it would otherwise have been (see voltage profile C in Figure 2) had the constant current source 5 not been enabled, and the flip flop 8 is reset earlier.
  • the time at which the output rises from logical 0 to 1 can thus be varied in dependence upon the timing and duration T p of the control signal relative to the clocking edge of the reference signal F ref . Therefore, the output pulses of the output pulse trainfrom the phase modulator can be delayed relative to the clocking edge of F ref by an amount dependent upon the duration of the control signal.
  • the synthesiser 10 comprises a phase lock loop (PLL) having a voltage controlled oscillator (VCO) 11 the output frequency of which
  • F OUT is fed via a variable divider 12, having a division ratio N, to a phase detector 13.
  • the phase detector 13 also receives from a reference source 14, a reference signal having a reference frequency F ref and provides a control signal to the oscillator 11 along a loop 15 in the presence of a phase difference between the signals on its two inputs.
  • the sense of the control signal from the phase detector 13 to the oscillator 11 is such that any phase difference between the input signals to the phase detector 13 is reduced to a minimum and hence any difference in the frequencies of these two input signals is reduced to zero.
  • N mean a mean value of N, termed N mean, such that the output frequency
  • the division ratio of the variable divider 12 is controlled by means of an arithmetic unit 16 and an adder 17.
  • the arithmetic unit 16 is arranged to receive the reference frequency F ref along a line 18 and data indicative of the output frequency steps less than F ref along a data bus 19.
  • the output of the arithmetic unit 16 is connected to the adder 17 by line 20 and the adder 17 is also arranged to receive data indicative of the output frequency steps greater than or equal to F ref along a data bus 21.
  • the desired N/(N + 1) pattern appropriate to generate the required N mean for a chosen output frequency may be obtained by an arithmetic unit having a BCD adder in combination with D-type flip-flops (not shown) for each decade of decimal N required. For example, to obtain a fractional part of N, such as 0.789, three decades would be required. Such an arrangement may extend for as many decades as required with the carryout signal of any decade providing the carry in signal of the next significant decade; with the carry out signal of the most significant decade providing the "+1" input instruction to the adder 17 along line 20 from the arithmetic unit 16.
  • the data word fed to the arithmetic unit 16 is
  • the first of these terms defines the capacity of the arithmetic unit 16 and the second term is the fractional offset, denoted by d.
  • d fractional offset
  • the required capacity of the arithmetic unit 16 is 1000 and three decades will be required.
  • This type of system has the defect of poor spectral purity of the output signal because the continuously varying division ratio means that pulses from the variable divider 12 arrive at the input to the phase detector 13 at varying tiroes to those arriving at the other input of the phase detector 13 from the reference source 14.
  • the output of the phase detector 13 will therefore contain AC components, generally called a ripple signal, at frequencies related to the offset of the output frequency F OUT from a whole multiple of the reference frequency F ref .
  • the ripple signal is fed around the loop and causes frequency modulation of the oscillator 11; producing poor spectral purity.
  • Figure 5 illustrates a compensated fractional N synthesiser in which the spectral purity of the output signal F OUT may be improved.
  • the data at the output of the D-type flip flops (not shown) in the arithmetic unit 16 represent the difference in phase which would exist between the input signals to the phase detector 13 if the output from the oscillator 11 were spectrally pure. Therefore the data at the output of the arithmetic unit 16 may be converted to analogue form by a digital to analogue (D/A) converter 24 and the analogue signal used to control a voltage controlled delay element 26 which may be positioned at either input i.e. (positions A or B) to the phase detector.
  • D/A digital to analogue
  • the phase detector does not perceive the phase perturbations caused by the ripple signal resulting from the variation in the division ratio of the variable divider 12. Hence, there is no spurious frequency modulation of the output signal from the oscillator 11.
  • the use of a voltage controlled delay element 26 is disadvantageous as it necessitates the use of the digital to analogue converter 24 which imposes limitations as described earlier.
  • the problems involved with using a digital to analogue converter can be avoided by replacing the voltage controlled delay element 26 with a phase modulator according to the present invention.
  • phase modulator 27 according to the present invention is shown to be positioned so as to delay the clocking edges of the reference clocking frequency F ref input of the modulator 27.
  • the phase modulator delays incoming clocking edges by an amount which is dependent upon the duration rather than voltage amplitude of a control signal.
  • the modulator 27 may be of the form illustrated in Figure 1.
  • the control signal is derived from a generating means 28 which is clocked by a clock signal having a frequency which is equal to F out /10.
  • the generating means 28 is illustrated in more detail in Figure 7a where the generating means 28 is shown to comprise a down counter 29 which receives data from the arithmetic unit 16.
  • the down counter 29 receives the reference clocking frequency F ref which clocks the counter 29 to load with data from the arithmetic unit 16 once per F ref cycle on a logical 1/0 transition of F ref .
  • the down counter 29 is clocked by the output of a NAND gate 30 which has two inputs, one being at logical '0' when the down counter 29 has counted down to zero from what ever number has been loaded therein from the arithmetic unit 16, and the other being clocked at a frequency of Fout/10.
  • the control signal is generated at the Q 2 outpout of a flip-flop 31, which is clocked by the Fout/io signal, in dependence upon the 'O' on zero state output of thedown counter 29 and the clocking frequency F out /10.
  • the reference frequency F ref when zero, resets the flip-flop 31 so that the Q 2 output (i.e. the control signal) is zero.
  • Figure 7b shows waveforms for the generating means 28 for the simple case when the data from the arithmetic unit
  • N is an integer
  • d is the fractional offset (0 ⁇ d ⁇ 1)
  • T ref is the period of the reference frequency F ref .
  • T var is not equal to T ref and consequently, the period between the reference signal edge and the variable divider output edge will vary in dependence upon N and d. If at some time the reference signal edge and the variable divider output edge coincide exactly, then the next variable divider output edge will precede the next reference signal edge by:
  • phase modulator 27 is constructed in accordance with Figure 1.
  • Figure 2 is an example of the waveforms of signals at various parts of the phase modulator 27 and is referred to in order to explain the relative timing of pulse edges.
  • the constant current I c flows during the fixed period T 1 which is chosen to be equal to 1 ⁇ 2 T ref .
  • the current I c is switched off and the current I d is switched on.
  • the current I d flows until the voltage at the integrator output has returned to the value it had before the current I d was switched on. Therefore the voltage drop at the output the integrator due to the flow of current I c is:
  • T 2 time for which I d must flow for the integrator 1 output voltage V to be restored to V 1 .
  • the inputs to the phase detector 13 increase their separation by ⁇ t during a whole cycle of the phase detector. If the reference signal F ref is delayed by a time period of T o , which T o is equal to T 1 + T 2 , and then fed into the phase detector 13 reference input, the separation of the phase detector inputs can be kept constant by appropriate variation of the constant currents I c or I d , and hence effectively varying the rate of change of the output voltage V of the integrator 1 over time T 1 or T 2 .
  • the new delay imposed by the phase modulator 27 must be (T o - ⁇ t) which can be achieved by switching on a current ⁇ I d for a duration of T p which is effective to reduce the current I c for the duration T p .
  • the length of time T p for which ⁇ l p must flow in order to delay the reference edges to maintain coincidence increases every cycle in the manner d,2d,3d ...
  • the data at the outputs of the flip-flops in the arithmetic unit 16 increase in the same fashion except that the actual value of the data is not d,2d,3d ........, but:
  • a control signal for switching on the current ⁇ I d in the phase modulator 27 can be derived from the generating means described with reference to Figures 7a and 7b.
  • the down counter 29 is set to an initial value equal to the data at the output of the arithmetic unit (to give the d,2d,3d ........dependence) and clocked at the output frequency F ref (to give the inverse proportional dependence on (N+d)).
  • a 'zero state' signal is generated which is logical '1' when the down counter 29 is clocked and counting down, and becomes logical '0' when the down counter 29 has counted down to zero. This signal terns on a current equal to
  • a two-modulus prescaler commonly a 10/11 divider (see divider 22 in Figure 6) can be employed to reduce the output frequency F out to a value of d, the offset frequency, which can be processed by lower power logic.
  • the output of the divider 22 clocks the generating means 28 and is fed to the variable divider 12. Because the width of the pulses driving the down counter 29 is multiplied by 10 (due to the division by the divider 22), the value of the current ⁇ I d switched by the control signal from the generating means 28 must be divided by 10.
  • the division ratio of the divider 22 must be either 10 or 11 all the time that the down counters are being clocked. If a mixture of F out /10 and F out /11 rate pulses is counted, the linearity of the relationship between the number loaded into the down counter 29 and the mean current switched will be destroyed.
  • the divide by 11 state could last as long as 110 cycles of 40 MHz, i.e. 2.75 microseconds.
  • FIG 8 an alternative fractional N synthesiser is shown in which three generating means 30 , 31, 32 and hence three down counters, are included.
  • the down counter 29 of Figure 7a when incorporated into the generating means 28 , could have to count as many as 999 pulses at a rate as low as 4 Mhz. This would take 250 microseconds , and could not be completed between two reference rate edges 10 microseconds apart.
  • This problem is overcome by using three down counters, each capable of 10 states, rather than one down counter capable of 1000 states.
  • the three down counters, such as 10 KHz, 1KHz, and 100Hz respectively, are all clocked by the output of the divider 22 , but each down counter is loaded with data from one decade of the arithmetic unit 16.
  • Each down counter switches a different current ⁇ l 1 , ⁇ l 2 , ⁇ l 3 , scaled in the ratio 100 : 10 : 1 for the 10 KHz, 1KHz and 100Hz counters respectively.
  • the maximum rundown time of any counter is now a duration of 10 cycles of 4 Mhz, i . e . 2.5 microseconds. This can be accommodated within the 10 microsecond period of the reference frequency F ref .
  • FIG. 9 illustrates the timing of various events occurring in the embodiment of Figure 8.
  • Period B illustrates when the phase detector rising edge must occur. This is because variable dividers provide for a divide by 11 prescaler ratio immediately after they give an output edge. This puts a limit on the system phase offset.

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Abstract

A phase modulator comprises an integrator (1) arranged to provide an output voltage (V) which can be changed from an initial level (V1), means (3) operative to effect change, at a time dependent upon receipt by the phase modulator of a clocking edge of a reference clocking signal (Fref), of the output voltage (V) at a constant rate for a predetermined duration, and means (4) operative subsequently to return the output voltage (V) of the integrator (1) to said initial level (V1), at a constant rate. A generator (6) is also provided for generating an output pulse in dependence upon the return of the output voltage (V) to said initial level (V1), and means (5) is provided for altering the rate of change of return of the output voltage (V) of the integrator (1) in dependence upon a control signal, thereby enabling the time of generation of the output pulse to be varied relative to the clocking edge in dependence upon the control signal. The phase modulator can be employed in a frequency synthetiser of the fractional N type and can be arranged to compensate for jitter.

Description

PHASE MODULATORS
This invention relates to phase modulators, and in particular to the use of such phase modulators in frequency synthesisers of the fractional N type.
A known type of phase modulator can delay pulses of an input pulse train by an amount which is dependent upon an analogue control signal. Such a phase modulator can be included in a frequency synthesiser of the fractional N type in order to provide a means for compensating for a ripple signal tending to be produced in the synthesiser, which ripple signal causes frequency modulation of an output signal of the synthesiser.
The use of such a phase modulator in frequency synthesisers of the fractional N type is disadvantageous in that the analogue control signal is derived from a logic signal produced at an output of an arithmetic unit, and this necessitates the inclusion of a means for converting the logic signal into the analogue control signal.
A digital to analogue converter (DAC) is conventionally used for the said means for converting, but the need to include such a converter is disadvantageous in that the DAC cannot be easily integrated into the type of logic array now generally used to implement digital circuitry of synthesisers of the fractional N type, and a high degree of linearity in the DAC is required for cancellation of the ripple signal.
The present invention is directed to providing a phase modulator which can be incorporated into a frequency synthesiser of the fractional N type so as to eliminate the need to include a digital to analogue converter.
According to the present invention there is provided a phase modulator comprising a circuit element arranged to provide an output voltage which can be changed from a initial level, means operative to effect change, at a time dependent upon receipt by the phase modulator of a clocking edge of a reference clocking signal, of the output voltage at a constant rate for a predetermined duration, means operative subsequently to return the output voltage of the circuit element to said initial level at a constant rate, a generator for generating an output pulse in dependence upon the return of the output voltage to said initial level, and means for altering the rate of change or the rate of return of the output voltage of the circuit element in dependence upon a control signal, thereby enabling the time of generation of the output pulse to be varied relative to the clocking edge in dependence upon the control signal. The time of generation of the output pulse is preferably varied relative to the clocking edge in dependence upon the duration of the control signal.
Phase modulators embodying the present invention are advantageous in that they can be incorporated into fractional N type frequency synthesisers in order to eliminate the need to include a DAC, and consequently, the aforesaid disadvantages can be alleviated.
The circuit element of the phase modulator may be an integrator. The means operative to effect change may be a constant current source which is enabled by the reference clocking signal, the means operative to return the output voltage nay be a constant current source enabled by an enabling signal generated by the generator, and the means for altering the rate of change or rate of return of the output voltage may be a constant current source enabled by the control signal.
The generator may comprise a comparator for comparing the output voltage of the integrator with a reference voltage to produce an output signal dependent upon the comparison, and a bistable circuit for generating the output pulse and the enabling signal in response to the reference clocking signal and the output signal of the comparator. According to the present invention there is also provided a frequency synthesiser of the fractional N type comprising a phase locked loop (PLL) having a voltage controlled oscillator for producing an output signal which is afforded to a phase detector via a divider, which phase detector is arranged to provide a control signal for the voltage controlled oscillator in the presence of a phase difference between a reference signal from a reference source and the signal afforded thereto from the divider, enabling means for enabling the division ratio of the divider to be varied in a fractional N mode so that the output signal can be frequency divided in steps smaller than the frequency of the reference signal, and compensating means for compensating for a ripple signal tending to be produced in the PLL and the enabling means, the ripple signal causing frequency modulation of the output signal, wherein the compensating means comprises a phase modulator as defined above, which phase modulator is operative to delay, in dependence upon the control signal, the reference signal relative to the signal afforded to the phase detector or to delay the signal afforded to the phase detector relative to the reference signal thereby to compensate for the ripple signal, and means for generating the control signal in response to data fed to the enabling means. The means for generating the control signal may comprise a down counter which is clocked in dependence upon the output signal from the voltage controlled oscillator, and is fed with data from an arithmetic unit of the enabling means. The phase modulator may alternatively be arranged to be operative to delay in dependence upon a plurality of control signals, respective control signals being generated by respective means for generating the control signals, wherein each means is fed with data from a different decade of an arithmetic unit of the enabling means.
The invention will now be further described by way of example with reference to the accompanying drawings, in which: Figure 1 is a schematic block diagram of a phase modulator embodying the present invention;
Figure 2 is a waveform diagram used to assist explanation of the operation of the phase modulator of Figure 1; Figure 3 is a block diagram of a phase locked loop indirect frequency synthesiser;
Figure 4 is a block diagram of a fractional N frequency synthesiser;
Figure 5 is a block diagram of a compensated fractional N frequency synthesiser; Figure 6 is a block diagram of a fractional N frequency synthesiser incorporating a phase modulator embodying the present invention;
Figure 7a is a block diagram of a means for generating a control signal for the phase modulator;
Figure 7b is a waveform diagram to be used to explain the operation of the means of Figure 7a;
Figure 8 is a block diagram of an alternative fractional N frequency synthesiser incorporating a phase modulator embodying the present invention; and
Figure 9 is a waveform diagram to show the timing of various events in the arrangement illustrated in Figure 8.
In Figure 1, there is shown a phase modulator which is arranged to receive a reference clocking signal Fref and is operative to provide an output pulse train, the pulses of which are delayed (relative to the clocking edges which give rise to the generation of the output pulses) by an amount which is dependent upon a control signal. The phase modulator comprises a circuit element in the form of an integrator 1 which is made up of an operational amplifier 2 and a feedback capacitor C1. The output voltage V of the integrator 1 is set at an initial predetermined level V1, and the positive input to the operational amplifier 2 is connected to a reference voltage V2.
The negative input to the operational amplifier 2 is connected to a constant current source 3 which is operative to permit a constant current Ic to flow into the integrator 1 and also to a pair of constant current sources 4 and 5 which are operative to permit constant currents Id and Δld to flow from the integrator 1.
The phase modulator also comprises a generator 6 which includes a comparator 7 in the form of an operational amplifier and a bistable circuit such as a flip-flop 8. The negative input of the comparator 7 is connected to a reference voltage V4 and the positive input is connected to the output of the operational amplifier 2 of the integrator 1. The flip-flop 8 is operative to provide an enabling signal at its Q1 output, which enabling signal is used to switch the constant current source 4, and also to provide the output pulse train at its Q1 output. The flip-flop 8 is clocked by the reference clocking signal Fref and is arranged so that the value of the D input (which is constantly held at logical 1 D=1) is transferred to the Q1 output on every transition of the reference signal Fref from logical 1 to logical 0 (1/0 transition). The output of the comparator 7 is operative to reset the Q1 output to logical zero in dependence upon the output voltage V of the integrator 1.
The operation of the phase modulator of Figure 1 will now be described with reference to Figure 2.
The output voltage V of the integrator 1 is set to be V1 when the phase modulator is in steady state, that is, when the constant current sources 3,4 and 5 are all switched off. The constant current source 3 is arranged to be switched on for a duration of T1 which is half a period of Fref, for example, when the level of Fref is high.
When the constant current source 3 is switched on, the constant current Ic flows into the integrator 1 which causes the output voltage V of the integrator to fall at a constant rate from the initial value of V1. The total drop in voltage is Δv over the period of T1 and is indicated by the dotted line A in Figure 2.
At the end of the period T1, at the falling edge of Fref, the constant current source 3 is switched off and the output voltage V of the integrator 1 ceases to fall. At this point, the flip-flop 8 is triggered by the falling edge (1/0 transition) of Fref and the Q1 output becomes high. The high Q1 output of the flip-flop 8 enables the constant current source 4 and hence, the constant current Id flows from the integrator 1 thereby causing the output voltage V of the integrator 1 to rise (as indicated by the dotted line B in Figure 2).
When the output voltage V of the integrator 1 becomes equal to the reference voltage V4 (which is equal to V1) after a time of T2, the comparator 7 generates an output pulse of voltage V3. This output pulse resets the flip-flop 8 so that the Q1 output returns to logical zero and the constant current source 4 is switched off.
The change of the Q1 output from 1 to 0 corresponds to a rise of 0 to 1 of the output of the flip-flop 8.
Figure imgf000011_0001
The rising edge of the output is an output pulse of
Figure imgf000011_0002
the output pulse train of the phase modulator.
It can be seen from Figure 2 that the time at which the flip-flop 8 is reset, and hence the time of generation of the rising edge of the output, can be varied by
Figure imgf000011_0003
effectively altering the rate of fall or rise of the output voltage V of the integrator 1.
In this embodiment a further constant current source 5 is connected to the negative input of the integrator 1 and is switched on by a control signal fed to the phase modulator. When switched on, a constant current Δ Id flows from the integrator 1 which effectively alters the rate of rise or fall of the output voltage V of the integrator 1.
In the example shown in Figure 2 the currentΔld is switched on for a time duration Tp when the current Ic is flowing into the integrator 1. This has the effect of reducing the rate of fall of output voltage V of the integrator 1, which means that the output voltage V of the integrator 1 does not fall to the levelΔv below V1 during the time (T1) for which the current Ic flows. Consequently, when the currentΔId flows, the output voltage V of the integrator 1 is returned to V1 sooner than it would otherwise have been (see voltage profile C in Figure 2) had the constant current source 5 not been enabled, and the flip flop 8 is reset earlier.
The time at which the output rises from logical
Figure imgf000012_0001
0 to 1 can thus be varied in dependence upon the timing and duration Tp of the control signal relative to the clocking edge of the reference signal Fref. Therefore, the output pulses of the output pulse trainfrom the phase modulator can be delayed relative to the clocking edge of Fref by an amount dependent upon the duration of the control signal.
Referring now to Figure 3, there is shown an indirect frequency synthesiser 10. The synthesiser 10 comprises a phase lock loop (PLL) having a voltage controlled oscillator (VCO) 11 the output frequency of which
FOUT is fed via a variable divider 12, having a division ratio N, to a phase detector 13. The phase detector 13 also receives from a reference source 14, a reference signal having a reference frequency Fref and provides a control signal to the oscillator 11 along a loop 15 in the presence of a phase difference between the signals on its two inputs. The sense of the control signal from the phase detector 13 to the oscillator 11 is such that any phase difference between the input signals to the phase detector 13 is reduced to a minimum and hence any difference in the frequencies of these two input signals is reduced to zero. Thus, in a steady state the output frequency of the synthesiser
F OUT = Fref x N (1)
It can be seen from expression (1) that the minimum change in output frequency, obtained by incrementing or decrementing the division ratio N by 1, is Fref. Thus, if small frequency output steps are required with the synthesiser illustrated in Figure 3 this can only be achieved by decreasing the reference frequency Fref . However, as previously stated, with relatively low values of Fref the system becomes slow to respond to demands for changes in the output frequency.
It is evident from expression (1) that small frequency output steps can be achieved with fast response times by providing apparatus which will permit fractions of N to be utilised. Such synthesisers are known as fractional N frequency synthesisers, an embodiment of which is illustrated in Figure 4.
In the synthesiser shown in Figure 4 a relatively high value for the reference frequency Fref is utilised, typically 100KHz. Small output frequency steps are obtained by selectively controlling the division ratio of the variable divider 12 between N and N plus or minus an integer over a number of cycles of the reference frequency Fref. It can be realised that the instructed pattern of, for example, N and N + 1 division ratios, will give a mean value of N, termed N mean, such that the output frequency
FOUT = Fref x N mean (2)
In the synthesiser illustrated in Figure 4 the division ratio of the variable divider 12 is controlled by means of an arithmetic unit 16 and an adder 17. The arithmetic unit 16 is arranged to receive the reference frequency Fref along a line 18 and data indicative of the output frequency steps less than Fref along a data bus 19. The output of the arithmetic unit 16 is connected to the adder 17 by line 20 and the adder 17 is also arranged to receive data indicative of the output frequency steps greater than or equal to Fref along a data bus 21. The desired N/(N + 1) pattern appropriate to generate the required N mean for a chosen output frequency may be obtained by an arithmetic unit having a BCD adder in combination with D-type flip-flops (not shown) for each decade of decimal N required. For example, to obtain a fractional part of N, such as 0.789, three decades would be required. Such an arrangement may extend for as many decades as required with the carryout signal of any decade providing the carry in signal of the next significant decade; with the carry out signal of the most significant decade providing the "+1" input instruction to the adder 17 along line 20 from the arithmetic unit 16.
The data word fed to the arithmetic unit 16 is
Figure imgf000015_0001
The first of these terms defines the capacity of the arithmetic unit 16 and the second term is the fractional offset, denoted by d. For example, consider a system with Fref = 100 KHz, minimum step of 100Hz with the output frequency FOUT of the synthesiser set to 45.6789 MHz. The value of division ratio N for the variable divider is
Figure imgf000015_0002
This leaves an offset from the multiple of Fref of 78.9 KHz and hence the data word fed to the arithmetic unit 16 is
Figure imgf000016_0001
Therefore, the required capacity of the arithmetic unit 16 is 1000 and three decades will be required.
This type of system has the defect of poor spectral purity of the output signal because the continuously varying division ratio means that pulses from the variable divider 12 arrive at the input to the phase detector 13 at varying tiroes to those arriving at the other input of the phase detector 13 from the reference source 14. The output of the phase detector 13 will therefore contain AC components, generally called a ripple signal, at frequencies related to the offset of the output frequency FOUT from a whole multiple of the reference frequency Fref. The ripple signal is fed around the loop and causes frequency modulation of the oscillator 11; producing poor spectral purity.
Figure 5 illustrates a compensated fractional N synthesiser in which the spectral purity of the output signal FOUT may be improved. The data at the output of the D-type flip flops (not shown) in the arithmetic unit 16 represent the difference in phase which would exist between the input signals to the phase detector 13 if the output from the oscillator 11 were spectrally pure. Therefore the data at the output of the arithmetic unit 16 may be converted to analogue form by a digital to analogue (D/A) converter 24 and the analogue signal used to control a voltage controlled delay element 26 which may be positioned at either input i.e. (positions A or B) to the phase detector. If the control signal to the delay element 26 from the D/A converter 24 is at the correct level, the phase detector does not perceive the phase perturbations caused by the ripple signal resulting from the variation in the division ratio of the variable divider 12. Hence, there is no spurious frequency modulation of the output signal from the oscillator 11. However, the use of a voltage controlled delay element 26 is disadvantageous as it necessitates the use of the digital to analogue converter 24 which imposes limitations as described earlier. The problems involved with using a digital to analogue converter can be avoided by replacing the voltage controlled delay element 26 with a phase modulator according to the present invention.
Referring now to Figure 6, a phase modulator 27 according to the present invention is shown to be positioned so as to delay the clocking edges of the reference clocking frequency Fref input of the modulator 27. In this case, the phase modulator delays incoming clocking edges by an amount which is dependent upon the duration rather than voltage amplitude of a control signal. The modulator 27 may be of the form illustrated in Figure 1.
The control signal is derived from a generating means 28 which is clocked by a clock signal having a frequency which is equal to Fout/10. The generating means 28 is illustrated in more detail in Figure 7a where the generating means 28 is shown to comprise a down counter 29 which receives data from the arithmetic unit 16. The down counter 29 receives the reference clocking frequency Fref which clocks the counter 29 to load with data from the arithmetic unit 16 once per Fref cycle on a logical 1/0 transition of Fref. The down counter 29 is clocked by the output of a NAND gate 30 which has two inputs, one being at logical '0' when the down counter 29 has counted down to zero from what ever number has been loaded therein from the arithmetic unit 16, and the other being clocked at a frequency of Fout/10. The control signal is generated at the Q2 outpout of a flip-flop 31, which is clocked by the Fout/io signal, in dependence upon the 'O' on zero state output of thedown counter 29 and the clocking frequency Fout/10. The reference frequency Fref, when zero, resets the flip-flop 31 so that the Q2 output (i.e. the control signal) is zero. Figure 7b shows waveforms for the generating means 28 for the simple case when the data from the arithmetic unit
16 is equal to 3.
The relationship between the duration of the control signal and the data from the arithmetic unit 16 will now be explained on the basis that the fractional N frequency synthesiser of Figure 6 has an output frequency of :
Figure imgf000019_0002
where: N is an integer; and d is the fractional offset (0<d<1);
(b) and that the output spectrum of the synthesiser is pure (that is, the edges of the Fout signal are regularly spaced).
When the division ratio of the synthesiser is N, the time Tvar between edges of the pulses of the signal emerging from the variable divider 12 is:
Figure imgf000019_0001
where Tref is the period of the reference frequency Fref. As can be seen from equation (5), the time Tvar is not equal to Tref and consequently, the period between the reference signal edge and the variable divider output edge will vary in dependence upon N and d. If at some time the reference signal edge and the variable divider output edge coincide exactly, then the next variable divider output edge will precede the next reference signal edge by:
Figure imgf000020_0001
The next reference signal and variable divider edges zf will be separated by twice this amount, the next by three times and so on, until (N+1) is entered into the variable divider 12. It can be shown that the data at the output of the flip-flops (not shown) in the arithmetic unit 16 increases in the same pattern as the separation of the inputs to the phase detector 13. Hence, this data can be used to generate a cancellation signal in order to remove the ripple signal. If the phase detector 13 is not to impose serious frequency modulation on the output signal Fout (due to the ripple signal), then either of the inputs to the phase detector 13 can be delayed by an appropriate amount, or a cancelling signal may be added at its output. In Figure 6, the phase modulator 27 is positioned at the reference frequency input to the phase detector 13.
In Figure 6, the phase modulator 27 is constructed in accordance with Figure 1. Figure 2 is an example of the waveforms of signals at various parts of the phase modulator 27 and is referred to in order to explain the relative timing of pulse edges.
In the phase modulator 27, the constant current Ic flows during the fixed period T1 which is chosen to be equal to ½ Tref. At the end of the period T1, the current Ic is switched off and the current Id is switched on. The current Id flows until the voltage at the integrator output has returned to the value it had before the current Id was switched on. Therefore the voltage drop at the output the integrator due to the flow of current Ic is:
Figure imgf000021_0001
where T2 = time for which Id must flow for the integrator 1 output voltage V to be restored to V1.
It has already been shown that the inputs to the phase detector 13 increase their separation byΔt during a whole cycle of the phase detector. If the reference signal Fref is delayed by a time period of To, which To is equal to T1 + T2, and then fed into the phase detector 13 reference input, the separation of the phase detector inputs can be kept constant by appropriate variation of the constant currents Ic or Id, and hence effectively varying the rate of change of the output voltage V of the integrator 1 over time T1 or T2.
If the phase detector input signals were coincident at their last occurrence, then the reference signal must occur early by an amount Δt if they are to remain coincident at their next occurrence. Hence, the new delay imposed by the phase modulator 27 must be (To -Δt) which can be achieved by switching on a current Δ Id for a duration of Tp which is effective to reduce the current Ic for the duration Tp.
Equating the integrator output voltage change over time T1 to that over (T2-Δt) gives the following: (Ic - Id) Tp + Ic (T1 - Tp)=(T2 -Δt) Id from which it can be shown that: Δ
Figure imgf000022_0001
Substituting for Δt i
Figure imgf000023_0001
Hence the required delay can be achieved by switching on ΔId for a time Tp according to the following relation, rearranged from equation (9):
Figure imgf000023_0002
If Δ ld is chosen so that it equals Id , then:
Figure imgf000023_0003
The time Tp can be expressed in terms of the output frequency by substituting equation (4) into equation (11):
Figure imgf000023_0004
Hence , the current Δ Id ( =Id ) must flow for d cycles of the output frequency Fout.
For each reference edge arriving at the phase detector 13 after the time at which the phase detector inputs were coincident, the length of time Tp for which Δlp must flow in order to delay the reference edges to maintain coincidence, increases every cycle in the manner d,2d,3d .......... The data at the outputs of the flip-flops in the arithmetic unit 16 increase in the same fashion except that the actual value of the data is not d,2d,3d ........, but:
Figure imgf000024_0001
Therefore a control signal for switching on the current Δ Id in the phase modulator 27 can be derived from the generating means described with reference to Figures 7a and 7b. The down counter 29 is set to an initial value equal to the data at the output of the arithmetic unit (to give the d,2d,3d ........dependence) and clocked at the output frequency Fref (to give the inverse proportional dependence on (N+d)). A 'zero state' signal is generated which is logical '1' when the down counter 29 is clocked and counting down, and becomes logical '0' when the down counter 29 has counted down to zero. This signal terns on a current equal to
Figure imgf000025_0001
In a particular embodiment, the synthesiser may cover 40 to 70 MHz, with Fref = 100 KHz and have a minimum step size of 100 Hz.
A two-modulus prescaler, commonly a 10/11 divider (see divider 22 in Figure 6) can be employed to reduce the output frequency Fout to a value of d, the offset frequency, which can be processed by lower power logic. The output of the divider 22 clocks the generating means 28 and is fed to the variable divider 12. Because the width of the pulses driving the down counter 29 is multiplied by 10 (due to the division by the divider 22), the value of the current Δ Id switched by the control signal from the generating means 28 must be divided by 10.
The division ratio of the divider 22 must be either 10 or 11 all the time that the down counters are being clocked. If a mixture of Fout/10 and Fout/11 rate pulses is counted, the linearity of the relationship between the number loaded into the down counter 29 and the mean current switched will be destroyed. The divide by 11 state could last as long as 110 cycles of 40 MHz, i.e. 2.75 microseconds.
Referring now to Figure 8 , an alternative fractional N synthesiser is shown in which three generating means 30 , 31, 32 and hence three down counters, are included. The down counter 29 of Figure 7a, when incorporated into the generating means 28 , could have to count as many as 999 pulses at a rate as low as 4 Mhz. This would take 250 microseconds , and could not be completed between two reference rate edges 10 microseconds apart. This problem is overcome by using three down counters, each capable of 10 states, rather than one down counter capable of 1000 states. The three down counters, such as 10 KHz, 1KHz, and 100Hz respectively, are all clocked by the output of the divider 22 , but each down counter is loaded with data from one decade of the arithmetic unit 16. Each down counter switches a different current Δl1 , Δl2 , Δl3 , scaled in the ratio 100 : 10 : 1 for the 10 KHz, 1KHz and 100Hz counters respectively. The maximum rundown time of any counter is now a duration of 10 cycles of 4 Mhz, i . e . 2.5 microseconds. This can be accommodated within the 10 microsecond period of the reference frequency Fref .
Figure 9 illustrates the timing of various events occurring in the embodiment of Figure 8.
The down counter 30 starts to run as soon as possible af ter T1 , maximum delay = 10 cycles of 40 MHz = 0. 25μs (See period A). Period B illustrates when the phase detector rising edge must occur. This is because variable dividers provide for a divide by 11 prescaler ratio immediately after they give an output edge. This puts a limit on the system phase offset.
All divide by 11 states of the prescaler must end before T4. The maximum time to achieve this = 110 cycles of 40MHz = 2.75μs. D denotes the edge of the delayed reference signal which is fed to the phase detector.

Claims

CLAIMS :
1. A phase modulator comprising a circuit element (1) arranged for providing an output voltage (V) which can be changed from an initial level (V1), means (3) operative for effecting change, at a time dependent upon receipt by the phase modulator of a clocking edge of a reference clocking signal (Fref), of the output voltage (V) at a constant rate for a predetermined duration, means (4) operative for subseqeuently returning the output voltage of the circuit element (1) to said initial level at a constant rate, a generator (6) for generating an output pulse in dependence upon the return of the output voltage to said initial level, and means (5) for altering the rate of change or the rate of return of the output voltage of the circuit element in dependence upon a control signal, thereby enabling the time of generation of the output pulse to be varied relative to the clocking edge in dependence upon the control signal.
2. A phase modulator according to claim 1, wherein the time of generation of the output pulse is varied relative to the clocking edge in dependence upon the duration of the control signal.
3. A phase modulator according to claim 1 or claim 2, wherein the circuit element (1) is in the form of an integrator.
4. A phase modulator according to claim 1, claim 2 or claim 3, wherein the means (3) operative for effecting change is a constant current source which is enabled by the reference clocking signal (Fref), the means (4) operative for returning the output voltage (V) is a constant current source enabled by an enabling signal generated by the generator (6), and the means (5) for altering the rate of change or rate of return of the output voltage is a constant current source enabled by the control signal.
5. A phase modulator according to any one of the preceding claims wherein the generator (6) comprises a comparator (7) for comparing the output voltage (V) of the integrator (2) with a reference voltage (V4) to produce an output signal dependent upon the comparison, and a bistable circuit (8) for generating the output pulse and the enabling signal in response to the reference clocking signal (Fref) and the output signal of the comparator (7).
6. A frequency synthesiser comprising a phase locked loop (PLL) having a voltage controlled oscillator (11) for producing an output signal which is afforded to a phase detector (13) via a divider (12), which phase detector is arranged for providing a control signal for the voltage controlled oscillator in the presence of a phase difference between a reference signal (Fref) from a reference source (14) and the signal afforded thereto from the divider (12), enabling means for enabling the division ratio of the divider (12) to be varied in a fractional N mode so that the output signal can be frequency divided in steps smaller than the frequency of the reference signal, and compensating means for compensating for a ripple signal tended to be produced in the PLL and the enabling means, the ripple signal causing frequency modulation of the output signal, wherein the compensating means comprises a phase modulator according to any one of claims 1 to 5, which phase modulator is operative for delaying, in dependence upon the control signal, the reference signal relative to the signal afforded to the phase detector or to delay the signal afforded to the phase detector relative to the reference signal thereby to compensate for the ripple signal, and means for generating the control signal in response to data fed to the enabling means.
7. A frequency synthesiser according to claim 6, wherein the means for generating the control signal comprises a down counter (29) which is clocked in dependence upon the output signal from the voltage controlled oscillator (11), and is fed with data from an arithmetic unit (16) of the enabling means.
8. A frequency synthesiser according to claim 6 or claim 7, wherein the phase modulator is operative to delay in dependence upon a plurality of control signals, respective control signals being generated by respective means for generating the control signals, wherein each means is fed with data from a different decade of an arithmetic unit (16) of the enabling means.
PCT/GB1986/000283 1985-05-22 1986-05-20 Phase modulators Ceased WO1986007219A1 (en)

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GB2247123A (en) * 1987-10-28 1992-02-19 Burr Brown Corp Analog to duty-cycle modulation
US6359950B2 (en) 1998-09-03 2002-03-19 Infineon Technologies. Digital PLL (phase-locked loop) frequency synthesizer
EP1434352A1 (en) * 2002-12-23 2004-06-30 STMicroelectronics Belgium N.V. Delay-compensated fractional-N frequency synthesizer
EP1798858A1 (en) * 2005-12-17 2007-06-20 ATMEL Germany GmbH PLL frequency generator
WO2014078311A3 (en) * 2012-11-14 2014-08-21 Adeptence, Llc Frequency synthesis using a phase locked loop

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FR2195873A1 (en) * 1972-08-08 1974-03-08 Dba
JPS56169927A (en) * 1980-06-03 1981-12-26 Japan Radio Co Ltd Frequency synthesizer
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Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB2247123A (en) * 1987-10-28 1992-02-19 Burr Brown Corp Analog to duty-cycle modulation
GB2247123B (en) * 1987-10-28 1992-07-01 Burr Brown Corp Duty cycle modulator circuit
US6359950B2 (en) 1998-09-03 2002-03-19 Infineon Technologies. Digital PLL (phase-locked loop) frequency synthesizer
WO2000014879A3 (en) * 1998-09-03 2002-07-11 Infineon Technologies Ag Digital frequency synthesizer
EP1434352A1 (en) * 2002-12-23 2004-06-30 STMicroelectronics Belgium N.V. Delay-compensated fractional-N frequency synthesizer
US6943600B2 (en) 2002-12-23 2005-09-13 Stmicroelectronics Belgium Nv Delay-compensated fractional-N frequency synthesizer
EP1798858A1 (en) * 2005-12-17 2007-06-20 ATMEL Germany GmbH PLL frequency generator
US7885369B2 (en) 2005-12-17 2011-02-08 Atmel Automotive Gmbh PLL frequency generator
WO2014078311A3 (en) * 2012-11-14 2014-08-21 Adeptence, Llc Frequency synthesis using a phase locked loop

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