Recently with an emerging theory of ââ?¬Ë?compressive sensingââ?¬â?¢ (CS), a radically new concept of compressive sensing radar\n(CSR) has been proposed in which the time-frequency plane is discretized into a grid. Random filtering is an\ninteresting technique for efficiently acquiring signals in CS theory and can be seen as a linear time-invariant filter\nfollowed by decimation. In this paper, random filtering structure-based CSR system is investigated. Note that the\nsparse representation and sensing matrices are required to be as incoherent as possible; the methods for optimizing\nthe transmit waveform and the FIR filter in the sensing matrix separately and simultaneously are presented to\ndecrease the coherence between different target responses. Simulation results show that our optimized results lead\nto smaller coherence, with higher sparsity and better recovery accuracy observed in the CSR system than the\nnonoptimized transmit waveform and sensing matrix
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