A Sequential MUSIC algorithm for Scatterers Detection 2 in SAR Tomography Enhanced by a Robust Covariance 3 Estimator

TL;DR

This paper introduces RCC-MUSIC, a new sequential MUSIC algorithm for SAR tomography that improves scatterer detection accuracy by combining recursive covariance cancellation with a robust covariance estimator, outperforming existing methods.

Contribution

The paper proposes RCC-MUSIC, a novel sequential MUSIC algorithm enhanced with a robust covariance estimator, achieving higher accuracy with minimal additional computational cost.

Findings

RCC-MUSIC outperforms previous sequential MUSIC algorithms in accuracy.

The method demonstrates robustness against noise in numerical simulations.

It maintains low computational load while improving detection precision.

Abstract

Synthetic aperture radar (SAR) tomography (TomoSAR) is an appealing tool for the extraction of height information of urban infrastructures. Due to the widespread applications of the MUSIC algorithm in source localization, it is a suitable solution in TomoSAR when multiple snapshots (looks) are available. While the classical MUSIC algorithm aims to estimate the whole reflectivity profile of scatterers, sequential MUSIC algorithms are suited for the detection of sparse point-like scatterers. In this class of methods, successive cancellation is performed through orthogonal complement projections on the MUSIC power spectrum. In this work, a new sequential MUSIC algorithm named recursive covariance canceled MUSIC (RCC-MUSIC), is proposed. This method brings higher accuracy in comparison with the previous sequential methods at the cost of a negligible increase in computational cost. Furthermore, to improve the performance of RCC-MUSIC, it is combined with the recent method of covariance matrix estimation called correlation subspace. Utilizing the correlation subspace method results in a denoised covariance matrix which in turn, increases the accuracy of subspace-based methods. Several numerical examples are presented to compare the performance of the proposed method with the relevant state-of-the-art methods. As a subspace method, simulation results demonstrate the efficiency of the proposed method in terms of estimation accuracy and computational load.