Abstract: A system for reference clock frequency correction is described. The system comprises a compensation module configured to (i) receive, as input, an oscillator signal and one or more control signals, (ii) generate a compensation signal based on the oscillator signal and the one or more control signals, wherein the generated compensation signal is a discretized sinusoidal signal having a controllable frequency, and (iii) output the generated compensation signal. The system further comprises a mixer block configured to (i) receive, as input, the generated compensation signal and the oscillator signal, and (ii) generate an output clock signal by mixing the generated compensation signal with the oscillator signal. A soft-switching method to reduce the effect of quantization noise is further described.

Abstract: There is provided a method and system for linear signal processing with signal decomposition. The system including: a decomposition module to receive an analog input signal and perform signal decomposition, the signal decomposition including slicing the analog input signal into a plurality of slices to produce one or more analog components and one or more digital components, the decomposition module directing each component to a separate signal path; and a processing module to perform one or more linear operations on at least one of the signal paths. In some cases, the signal decomposition includes slicing the analog input signal into the plurality of slices by amplitude. In some cases, the analog components include unsaturated slices of the analog input signal and the digital components include saturated slices of the analog input signal.

Abstract: There is provided a method and system for linear signal processing with signal decomposition. The system including: a decomposition module to receive an analog input signal and perform signal decomposition, the signal decomposition including slicing the analog input signal into a plurality of slices to produce one or more analog components and one or more digital components, the decomposition module directing each component to a separate signal path; and a processing module to perform one or more linear operations on at least one of the signal paths. In some cases, the signal decomposition includes slicing the analog input signal into the plurality of slices by amplitude. In some cases, the analog components include unsaturated slices of the analog input signal and the digital components include saturated slices of the analog input signal.