Joint optimisation of transmit waveform and receive filter for cognitive radar

In this study, the authors consider the problem of joint transmit waveform and receive filter design for cognitive radar. The problem is analysed in signal-dependent interference, as well as additive channel noise for an extended target with unknown target impulse response (TIR). To address this problem, an iterative algorithm is employed for target detection by maximising the average signal-to-interference-plus-noise ratio of the received echo on the premise of ensuring the TIR estimation precision. In this method, the transmit waveform and receive filter are optimally determined at each step based on the previous step. In particular, under the same constraint on waveform energy and bandwidth, the Lagrange multiplier method is also considered. Simulation results demonstrate that the proposed iterative algorithm waveform achieves a higher rate of performance significantly compared to Lagrange multiplier algorithm waveform and traditional linear frequency modulated waveform, in terms of estimation accuracy and detection performance.