Abstract: Multi-Nyquist differentiator circuits and a radio frequency sampling receiver that applies a multi-Nyquist differentiator circuit. A multi-Nyquist differentiator includes a fixed coefficient filter, a scaling circuit, and a summation circuit. The fixed coefficient filter is configured to filter digital samples generated by an ADC. The scaling circuit is coupled to an output of the fixed coefficient filter, and is configured to scale output of the fixed coefficient filter based on a selected Nyquist band. The summation circuit is coupled to the scaling circuit, and is configured to generate a derivative of the digital samples based on output of the scaling circuit.

Abstract: A numerically controlled oscillator (NCO) module includes a first accumulator circuit, a second accumulator circuit, and a phase-to-amplitude converter module. The first accumulator circuit receives a clock signal and at least first portions of each of multiple frequency control words and accumulates the first portions to generate a phase value. Each of the frequency control words identifies a fractional value and includes a respective one of the first portions and a respective second portion. The second accumulator circuit accumulates the second portions and generates a trigger signal based on a result of the accumulated second portions. The first accumulator circuit is configured to adjust the phase value based on the trigger signal. The phase-to-amplitude converter module generates a digital signal based on the clock signal and the phase value. An output transmits an output signal from the NCO module based on the digital signal.