Demodulation of Frequency-Modulated Signals by Pseudorandomly Selected Zero-Crossing Instants

Abstract

The features of using compressed sensing methods for demodulating frequency-modulated signals are studied. To resolve an “off-the-grid” problem, an iterative method is proposed to localize the position of the maximum of the spectral peaks between the nodes of the frequency grid. The signal recovery algorithm with adaptation of the matrix of the basis to the spectrum of the processed signal is considered.