Distributed sampling of multiple sinusoids with finite rate of innovation

In this paper, we propose a new distributed sampling scheme for multiple sinusoids signals, which can further reduce the number of samples for each sampling channel. Based on the frequency sparse common support (SCS) model, we recover the signals using samples from several channels jointly. We propose a distributed time-staggered sampling (DTSS) system, which requires only \lceil K+K / P\rceil samples per non-delay channel and K samples for the delay channel when recovering K frequency components by P channels. In addition, the staggered time is required no longer than the Nyquist sampling interval in the method. Simulation results verify that the proposed methods can successfully recover the multiple sinusoids signals at a lower sampling rate.