Minimum PSL Sequence Set Design for MIMO Radars via Manifold-Based Optimization

In this paper, we consider the problem of waveform design for multiple-input multiple-output (MIMO) radars via a peak sidelobe level (PSL) minimization approach. We derive the optimization problem as the PSL and weighted PSL (WPSL) minimization problem. To solve the optimization problem, we consider a suitable product manifold within the unimodular sequence space and develop numerical manifold-based algorithms such as Riemannian gradient descent (RGD), limited memory Riemannian Broyden, Fletcher, Goldfarb, and Shanno (LRBFGS), and Riemannian trust region (RTR) on this manifold. We investigate the performance of the proposed algorithms based on the achieved PSL and WPSL values and the convergence speed. Numerical results show that the proposed algorithms converge faster than other state-of-the-art counterparts and the sequences produced by the proposed algorithms achieve lower (weighted) peak sidelobe levels.