New Approach to Designing Constant Modulus Waveforms with Low Correlation Sidelobes for MIMO Radar

This paper investigates the design of constant modulus waveforms with low auto- and cross-correlation sidelobes for multiple-input multiple-output (MIMO) radar. Unlike existing methods which indirectly solve an “almost equivalent” problem to the original one, we propose a new method to directly deal with the problem. Specifically, in the proposed algorithm, the fourth-order problem is first converted into a bi-quadratic problem via introducing an auxiliary primal variable, and then a primal-dual framework, named as “nonlinear alternating direction method of multipliers (nonlinear-ADMM)”, is derived to handle the modified problem. Moreover, the solution of each primitive variable can be computed efficiently. Numerical simulations are carried out to assess the performance of the proposed algorithm in terms of the WISL metric, auto- and cross- correlation properties and computational complexity.