Complementary waveforms for range sidelobe suppression based on a singular value decomposition approach

While Doppler resilient complementary waveforms (DRCWs) have previously been considered to suppress range sidelobes within a Doppler interval of interest in radar systems, their ability to provide Doppler resilience can be further improved. A new singular value decomposition (SVD)-based DRCW construction is proposed, in which both transmit pulse trains (made up of complementary pairs) and receive pulse weights are jointly considered. Besides, using the proposed SVD-based method, a theoretical bound is derived for the range sidelobes within the Doppler interval of interest. Moreover, based on the SVD solutions, a challenging non-convex optimization problem is formulated and solved to maximise the signal-to-noise ratio (SNR) with the constraint of low range sidelobes. It is shown that, compared with existing DRCWs, the proposed SVD-based DRCW has better Doppler resilience. Further, the new optimised SVD-based DRCW has a higher SNR while maintaining the same Doppler resilience.