An adaptive greedy pursuit algorithm for pulse-Doppler radar

Pulse Doppler radar using matched filter often suffers from spurious targets because of the radar uncertainty principle. Recently, the application of sparse recovery techniques to pulse Doppler radar has been shown to yield improved target resolution when the radar waveform satisfies certain conditions. Unfortunately, many commonly used radar waveforms do not satisfy these conditions. In this paper, an adaptive greedy matching pursuit algorithm is proposed for estimating sparse target scenes. The recovery condition for the proposed algorithm is derived and it is shown that the proposed algorithm requires radar transmit signals to satisfy a more relaxed condition compared to the orthogonal matching pursuit algorithm.