Waveform design plays an important role in compressed sensing radar (CSR). The performance of the target scene recovery in CSR scenarios depends on the mutual coherence of the sensing matrix, which is determined by the radar transmission waveform. In this study, the authors propose a waveform optimisation method for pulse-train scenario through solving the matrix nearness problem between the Gram matrix and the identity matrix. This method has a simple closed-form solution and simulation

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... show that the proposed method is more efficient than the current waveforms such as linear frequency modulation (LFM), Gaussian and Alltop sequences in terms of mutual coherence, recovery errors and recovery percentages.