Constant modulus waveform design for radar with Doppler tolerance based on local ambiguity function template matching

To tackle the problem of Doppler sensitivity of phase-coded waveform in radar systems, a method for designing transmit waveform with Doppler tolerance under constant modulus (CM) constraint is considered. In this method, the variance between the ideal local ambiguity function (LAF) and the real one is used as the objective function to establish an optimization problem. To solve the non-convex quartic problem, a template matching sequence optimization (TMSO) algorithm is proposed. By introducing an auxiliary variable and problem transformation, the solution to the original problem can finally be obtained, involving two alternately iterative subproblems with closed-form solutions. Numerical experiments show that, compared with the reference algorithms, the proposed algorithm can not only obtain a transmit waveform with good Doppler tolerance, but also has a significant advantage in the execution efficiency.