Fractional Spectral Reconstruction of Signals from Periodic Nonuniformly Subsampling based on a Nyquist Folding Scheme

Periodic nonuniformly sampling has the both advantages of periodicity and nonuniformity. And the Nyquist folding receiver (NYFR) is a typical case which is an efficient broadband spectrum sensing architecture. In this paper, we extend the fractional spectral reconstruction algorithm to the subsampling case by using the fractional subsampling spectrum characteristics. Then the simulation part verify the proposed algorithm based NYFR structure, and which is contrasted with orthogonal matching pursuit (OMP) algorithm.