ACCURATE RECONSTRUCTION OF FREQUENCY-SPARSE SIGNALS WITH ARBITRARY FREQUENCIES FROM NON-UNIFORM SAMPLES

Described is a method for accurately reconstructing analog signals. The present invention considers a general parameter estimation problem, extends the utility of compressive sensing to real scenarios, and is able to accurately estimate center frequencies and amplitudes. Specifically, an unknown continuous analog signal comprising a set of arbitrary frequencies and amplitudes is received. A set of non-uniform samples of the unknown continuous analog signal is then obtained at multiple times. Finally, an iterative reconstruction process is utilized to determine a set of frequencies and a set of amplitudes that best fit the set of non-uniform samples in a global minimum problem in order to accurately reconstruct the continuous analog signal.