An important component in digital circuits is a phase rotator, which permits precise time-shifting (or equivalently, phase rotation) of a clock signal within a clock period. A digital phase rotator can access multiple discrete values of phase under digital control. Such a device can have application in digital clock synchronization circuits, and can also be used for a digital phase modulator that encodes a digital signal. A digital phase rotator has been implemented in superconducting integrated circuit technology, using rapid single-flux-quantum logic (RSFQ). This circuit can exhibit positive or negative phase shifts of a multi-phase clock. Arbitrary precision can be obtained by cascading a plurality of phase rotator stages. Such a circuit forms a phase-modulator that is the core of a direct digital synthesizer that can operate at multi-gigahertz radio frequencies.

The Data Recovery with Inverse Transformation (DRIT) comprises methods and systems for reversing transmission channel transfer function in order to achieve a direct recovery of original data from a received signal distorted by a transmission link.

A phase-locked loop according to the present disclosure includes a reference-phase generation circuit that sequentially generates a reference phase value, and an oscillating circuit that generates a first clock on a basis of a difference between the reference phase value and a feedback phase value. The phase-locked loop further includes a signal generation circuit that generates, on a basis of the first clock, a plurality of second clocks varying in phase, and generates a third clock by switching the plurality of second clocks a plurality of times in each of cycle periods each corresponding to one cycle of the reference clock. The phase-locked loop further includes a phase detection circuit that determines a phase value of the third clock and outputs the determined phase value as the feedback phase value.

A phase-locked loop according to the present disclosure includes a reference-phase generation circuit that sequentially generates a reference phase value, and an oscillating circuit that generates a first clock on a basis of a difference between the reference phase value and a feedback phase value. The phase-locked loop further includes a signal generation circuit that generates, on a basis of the first clock, a plurality of second clocks varying in phase, and generates a third clock by switching the plurality of second clocks a plurality of times in each of cycle periods each corresponding to one cycle of the reference clock. The phase-locked loop further includes a phase detection circuit that determines a phase value of the third clock and outputs the determined phase value as the feedback phase value.

A frequency generator for generating a controlled signal having a controlled frequency uses a frequency ratio generator with an input; a frequency divider for dividing the controlled frequency by a frequency ratio signal to generate a divided signal having a divided frequency; a converter for generating an excitation signal having the divided frequency, the excitation signal exciting a resonator for generating a resonance signal having a resonance frequency; a frequency phase detector of a phase difference between the divided frequency and the resonance frequency; an inner loop filter for generating the frequency ratio signal and filtering the phase difference signal to prevent instability of two frequency ratio generator loops; an output configured for providing the frequency ratio signal based on a ratio between the controlled frequency and the resonance frequency; and a controlled oscillator circuit for generating the controlled signal based on comparison of the frequency ratio with a target ratio.

In a first clock frequency multiplier, multiple injection-locked oscillators (ILOs) having spectrally-staggered lock ranges are operated in parallel to effect a collective input frequency range substantially wider than that of a solitary ILO. After each input frequency change, the ILO output clocks may be evaluated according to one or more qualifying criteria to select one of the ILOs as the final clock source. In a second clock frequency multiplier, a flexible-injection-rate injection-locked oscillator locks to super-harmonic, sub-harmonic or at-frequency injection pulses, seamlessly transitioning between the different injection pulse rates to enable a broad input frequency range. The frequency multiplication factor effected by the first and/or second clock frequency multipliers in response to an input clock is determined on the fly and then compared with a programmed (desired) multiplication factor to select between different frequency-divided instances of the frequency-multiplied clock.

In a first clock frequency multiplier, multiple injection-locked oscillators (ILOs) having spectrally-staggered lock ranges are operated in parallel to effect a collective input frequency range substantially wider than that of a solitary ILO. After each input frequency change, the ILO output clocks may be evaluated according to one or more qualifying criteria to select one of the ILOs as the final clock source. In a second clock frequency multiplier, a flexible-injection-rate injection-locked oscillator locks to super-harmonic, sub-harmonic or at-frequency injection pulses, seamlessly transitioning between the different injection pulse rates to enable a broad input frequency range. The frequency multiplication factor effected by the first and/or second clock frequency multipliers in response to an input clock is determined on the fly and then compared with a programmed (desired) multiplication factor to select between different frequency-divided instances of the frequency-multiplied clock.

An apparatus includes a processor, a Phase-Locked Loop Waveform Generator (PLLWG), a Voltage Controlled Oscillator (VCO), a demodulator, signal conditioning circuitry, and an Analog-to-Digital Converter (ADC). The processor generates control command signals, receives a digital data input signal, and performs spectrum analysis on the digital data input signal. The PLLWG is coupled to the processor, receives the control command signals, and generates a charge pump output signal based on the control command signals. The VCO is coupled to the PLLWG, receives a tuning signal based on the charge pump output signal, and outputs a VCO output signal based on the tuning signal. The demodulator receives an incoming modulated signal and the VCO output signal, and outputs an analog output signal based on the incoming modulated signal and the VCO output signal. The ADC converts the analog output signal into the digital data input signal.

A method and apparatus for increasing the Signal-to-Noise Ratio (SNR) of phononic comb teeth generated by a non-linear resonator. The method comprises generating a drive signal; applying the drive signal to the non-linear resonator with sufficient gain to generate the phononic comb teeth; and filtering the drive signal before applying it to the non-linear resonator to thereby increase the Signal-to-Noise Ratio (SNR) of phononic comb teeth generated by the non-linear resonator. The apparatus may comprise a circuit including a filter disposed between an oscillator generating the drive signal and the non-linear resonator, the filter preferably having a 3 db passband width which is less than a spacing of the phononic comb teeth generated by the non-linear resonator.

A method and apparatus for increasing the Signal-to-Noise Ratio (SNR) of phononic comb teeth generated by a non-linear resonator. The method comprises generating a drive signal; applying the drive signal to the non-linear resonator with sufficient gain to generate the phononic comb teeth; and filtering the drive signal before applying it to the non-linear resonator to thereby increase the Signal-to-Noise Ratio (SNR) of phononic comb teeth generated by the non-linear resonator. The apparatus may comprise a circuit including a filter disposed between an oscillator generating the drive signal and the non-linear resonator, the filter preferably having a 3 db passband width which is less than a spacing of the phononic comb teeth generated by the non-linear resonator.