MIMO radar waveform design with similarity constraint in the presence of interference

Conventional radar generally uses fixed transmit waveform, which is difficult to obtain optimal target detection performance in the presence of interference. To solve this problem, a joint optimization algorithm of waveform and receiving filter for MIMO radar is proposed. Firstly, the maximization of output signal to interference plus noise ratio is used as objective function. The joint optimization model of waveform and receiving filter is established under constant modulus and a similarity constraint. Then, under the framework of cyclic iterative algorithm, the joint optimization problem is decomposed into two sub-optimization problems, which are solved by using Lagrange multiplier method and semi-definite relaxation technique, respectively. The proposed joint optimization algorithm finally results in transmit waveform and receiving filter weights. Several numerical examples are provided to demonstrate the effectiveness of the proposed method.