A spectrum compatible waveform design method for MIMO radar based on minimizing ISLR

Abstract

The present invention discloses a MIMO radar spectrum compatible waveform design method based on minimizing ISLR, and belongs to the field of radar technology. The present invention provides a MIMO radar spectrum compatible waveform design method based on minimizing ISLR, which improves the target detection performance of the radar by minimizing the ISLR of the directional diagram, and reduces the interference of the radar radiation signal to the coexisting communication equipment by designing a spectrum compatible waveform; an inequality constrained manifold optimization framework is proposed to solve the original problem in a non-relaxed way using the objective function; first, the spectrum energy constraint is converted into a penalty function using a smoothing technique, thereby obtaining an optimization problem containing only constant modulus constraints; then, the complex circular manifold naturally satisfies the constant modulus constraint, and the problem is converted into an unconstrained optimization problem on the complex circular manifold, so a conjugate gradient descent algorithm based on the complex circular manifold is derived to solve the converted problem. Compared with the existing methods, the proposed method has great advantages in ISLR and spectrum notch depth.