A Convex Hull Based Approach for MIMO Radar Waveform Design with Quantized Phases

TL;DR

This paper introduces a convex hull-based method for designing constant-modulus MIMO radar waveforms with quantized phases, optimizing SINR amidst clutter and noise efficiently.

Contribution

It presents a novel convex hull relaxation technique to solve the NP-hard waveform design problem with discrete phases, reducing computational complexity.

Findings

Effective waveform designs with improved SINR performance

Reduced computational costs compared to traditional methods

Numerical simulations validate the approach's effectiveness

Abstract

In this letter, we focus on designing constant-modulus waveform with discrete phases for the multi-input multi-output (MIMO) radar, where the signal-to-interference-plus-noise ratio (SINR) is maximized in the presence of both the signal-dependent clutter and the noise. Given the NP-hardness of the formulated problem, we propose to relax the original optimization as a sequence of continuous quadratic programming (QP) subproblems by use of the convex hull of the discrete feasible region, which yields approximated solutions with much lower computational costs. Finally, we assess the effectiveness of the proposed waveform design approach by numerical simulations.