Low PAR robust waveform design of cognitive radar for extended target detection under random TIR

The existing joint design methods of transmit waveform and receive filter for cognitive radar(CR) radar are all based on the precise previous information about the target and interference, also the efficiency of transmitter has not been taken into account in practical applications. For these problems, a low peak-to-average power ratio (PAR) robust waveform and receive filter design algorithm is proposed under the assumption of random target impulse response (TIR) and signal-dependent interference. So a signal model is constructed according to the Max-Min method and the value of the uncertainty region about the covariance matrix of TIR and the clutter impulse response (CIR) under the worst-case signal-to-interference-and-noise rate (SINR) is given. Then the semi-definite relaxation (SDR) method is used to transform the nonconvex problem into a convex problem to maximize the worst-case SINR. On the basis of this, the optimal transmit waveform and receiver filter are obtained by using cyclic iteration idea. The simulation results show the effectiveness of the proposed method.