Compressed Sensing Constant Modulus Constrained Projection Matrix Design and High-Resolution DoA Estimation Methods

TL;DR

This paper introduces a high-resolution DoA estimation method combining compressed sensing with a novel projection matrix design that satisfies constant modulus constraints, improving recoverability and accuracy.

Contribution

It presents a new gradient orthogonal matching pursuit algorithm and a projection matrix design method tailored for hardware constraints, advancing high-resolution DoA estimation.

Findings

Effective in high-resolution DoA estimation

Outperforms benchmark algorithms in simulations

Handles constant modulus hardware constraints

Abstract

This paper proposes a compressed sensing-based high-resolution direction-of-arrival estimation method called gradient orthogonal matching pursuit (GOMP). It contains two main steps: a sparse coding approximation step using the well-known OMP method and a sequential iterative refinement step using a newly proposed gradient-descent method. To enhance the recoverability, we further propose an efficient projection matrix design method, which considers the constant modulus constraints imposed by the projection matrix hardware components. Simulation results show the effectiveness of the proposed methods as compared to benchmark algorithms.