Spectrally compatible waveform design with low correlation sidelobe for MIMO radar under time-varying spectral environment

Modern radar operates in a spectral environment with intense and time-varying interference, which significantly affects the radar performance. To address this problem, we adopt the pulse group diversity pulse intra-coding waveform and propose the average autocorrelation integrated sidelobe level (AISL) to measure the comprehensive autocorrelation performance within a coherent processing interval. Furthermore, the weighted objective function of AISL and cross-integrated sidelobe level is established. Additionally, the spectral and constant modulus constraints are utilized to formulate the optimization problem. To solve this NP-hard problem, we transform the original problem into several easy-to-solve sub-problems based on the alternating direction method of multipliers framework. Then we use the conjugate gradient method to solve the sub-problems. We also provide a weighted value selection approach tailored to different radar performance requirements. Simulation experiments are provided to demonstrate that the proposed algorithm can accurately select appropriate weighted values under diverse conditions. Moreover, the proposed algorithm outperforms the existing algorithms in terms of sidelobe performance and execution efficiency.