Compressive sensing in time reversal radars: Incoherency analysis

Abstract

In array processing, compressive sensing (CS) has recently emerged as a new sampling paradigm for estimating the direction-of-arrival (DOA) from a relatively small number of observations. The paper derives an analytical expression for the mutual coherence of the CS dictionary for a single-input, multiple output (SIMO) radar to advocate the consideration of incoherency issues by researchers exploring potential gains with CS. We couple time reversal (TR) with the Cs/SIMO radar to illustrate a possible increase in the incoherency of the CS dictionary with time reversal.