MIMO Radar Waveform Joint Optimization in Spatial-Spectral Domain for Anti-Interference

Aiming at the target detection problem of MIMO radar under the condition of both spatial and spectral domain interferences, a waveform design method for MIMO radar based on joint optimization of spatial and spectral domain interferences suppression in multi-target scenarios is proposed. Compared with the traditional synthetic waveform method based on the transmitting signal covariance matrix, this method directly performs waveform design in the space-spectral domain in turn, considering target characteristics and spatial-spectral environment comprehensively. Firstly, according to the target characteristics and energy allocation strategy, the fast time transmission pulse set is divided into a group of sub-pulse sets whose number equals to the number of targets. Meanwhile a set of transmit filter weighting factor vectors are introduced and the number of vectors equals to the number of spatial interferences. Furthermore, the spatial waveform optimization model is constructed according to the pattern matching criterion, subjecting to the peak-to-average power ratio of the transmitted signal. The sub-pulse sets are obtained through convex optimization, and the full matrix of the emission waveform is formed by the sub-pulse sets. Then, according to the invariability of radar transmit pattern with changing the initial phase of the sub-pulse, the transmitted waveform with desired beam pattern and spectrum distribution is obtained by optimizing the initial phase matrix through convex optimization. Finally, the optimized transmit waveform of MIMO radar with the ability of simultaneously suppressing space frequency interferences is generated. The simulation results prove the effectiveness of the proposed method.