Sampling and Estimating the Waveform of Analog Signals Based on Precision Event Timing

Abstract

In this paper, we investigate specific features of compressed sensing methods when estimating the waveform of arbitrary analog signals based on zero-crossings of a signal summed with a periodic oscillation. An algorithm for estimating the waveform of an analog signal with the adaptation of the basis matrix to its spectrum is proposed. To solve the problem of off-grid frequencies, we employ an iterative method for finding the maxima of the spectral peaks between the nodes of a DFT frequency grid.