Experimental Study of Compressive Sensing for Synthetic Aperture Radar on Sub-Nyquist Linearly Decimated Array

Compressive sensing (CS) is based on the random coding theorem. In this term, lowness of the coherence of forward/backward transformation matrix is important. Random sampling makes coherence low, then conventional algorithms are based on random sampling. A novel idea to get the low coherency of ambiguity is not random sampling but simple decimation of the SAR azimuth arrays. To make simple decimated array, the SAR system only needs to set low pulse repetition frequency (PRF). In this paper, we have demonstrated our method of compressive sensing for synthetic aperture radar (SAR) is effective even in the case of sub-Nyquist linearly decimated array.