Random pulse repetition interval (PRI) waveform arouses great interests inthe field of modern radars due to its ability to alleviate range and Dopplerambiguities as well as enhance electronic counter-countermeasures (ECCM)capabilities. Theoretical results pertaining to the statistical characteristicsof ambiguity function (AF) are derived in this work, indicating that the rangeand Doppler ambiguities can be effectively suppressed by increasing the numberof pulses and the range of PRI jitters. This provides an important guidance interms of waveform design. As is well known, the significantly lifted sidelobepedestal induced by PRI randomization will degrade the performance of weaktarget detection. Proceeding from that, we propose to employ orthogonalmatching pursuit (OMP) to overcome this issue. Simulation results demonstratethat the OMP method can effectively lower the sidelobe pedestal of strongtarget and improve the performance of weak target estimation.
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