Phase Transitions in Frequency Agile Radar Using Compressed Sensing

FAR has improved anti-jamming performance over traditional pulse-Doppler radars under complex electromagnetic circumstances. To reconstruct the range-Doppler information in FAR, many compressed sensing (CS) methods including standard and block sparse recovery have been applied. In this paper, we study phase transitions of using CS. particular, derive closed-form transition curves associated with Gaussian matrices, based on prior results real matrices. We further approximate obtained elementary functions radar target parameters, facilitating practical applications these curves. Our indicate that outperforms counterpart when targets occupy more than one range cell, which are often referred to as extended targets. Simulations validate availability their approximations benefit design parameters.