Subsampled circulant matrix based analogue compressed sensing


The modulated wideband converter (MWC) is an engaging analogue compressed sensing technique proposed recently. Unfortunately, the MWC has high hardware complexity as a result of its parallel structure. To cut back the complexity, proposed is a novel subsampled circulant matrix based mostly analogue compressed sensing (SCM-ACS) scheme. Using the cyclic shifts of the Zadoff-Chu sequence, the SCM-ACS theme reduces the quantity of physical parallel channels from m to one with larger processing time, where m ranges from many dozen to several hundred. It is proved that when m=O(r loga pair ofM log3r) the measurement matrix of the SCM-ACS theme satisfies the restricted isometry property condition with probability 1-M-O(1), where M is the length of the Zadoff-Chu sequence, and r is that the sparsity of the input signal. Simulation results show that the SCM-ACS theme outperforms the MWC on recovery performance.

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