Compressive sense based reconstruction in the presence of frequency offset

摘要

A calibration method to compensate for a sparsifying basis mismatch is provided. An analog signal is converted to a first digital signal at a sampling frequency that is less than a Nyquist frequency for the analog signal to generate a first digital signal. Each of a plurality of spectral terms is iteratively isolated from the first digital signal, and the offset for each of the plurality of spectral terms is iteratively determined. A dictionary is then constructed using the offset for each of the plurality of spectral terms, where the dictionary compensates for mismatch from a sparsifying basis.