Improved Polynomial MUSIC Algorithm for Low-Complexity and High-Accuracy Broadband Angle of Arrival Estimation

The Multiple Signal Classification (MUSIC) algorithm has been extended to broadband angle-of-arrival (AoA) estimation through the development of polynomial MUSIC, which relies on a polynomial eigenvalue decomposition (PEVD). However, a PEVD is computationally intensive. In this paper, we propose a novel approach that bypasses the need for a PEVD by directly computing the polynomial subspace projection matrix corresponding to the noise subspace by computing EVD within the discrete Fourier transform (DFT) bins of a space-time covariance. In simulations, we demonstrate that our approach can offer superior accuracy and computational efficiency compared to the existing polynomial MUSIC algorithm.

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Published
2025-06-08
DOI
https://doi.org/10.1109/ssp64130.2025.11073228
Primary Topic
Direction-of-Arrival Estimation Techniques
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article
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article

Improved Polynomial MUSIC Algorithm for Low-Complexity and High-Accuracy Broadband Angle of Arrival Estimation

Ian K. Proudler, Mohammed Bakhit, Faizan A. Khattak, Stephan Weiss
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Direction-of-Arrival Estimation Techniques
article

Improved Polynomial MUSIC Algorithm for Low-Complexity and High-Accuracy Broadband Angle of Arrival Estimation

Ian K. Proudler, Mohammed Bakhit, Faizan A. Khattak, Stephan Weiss
article en

Abstract

The Multiple Signal Classification (MUSIC) algorithm has been extended to broadband angle-of-arrival (AoA) estimation through the development of polynomial MUSIC, which relies on a polynomial eigenvalue decomposition (PEVD). However, a PEVD is computationally intensive. In this paper, we propose a novel approach that bypasses the need for a PEVD by directly computing the polynomial subspace projection matrix corresponding to the noise subspace by computing EVD within the discrete Fourier transform (DFT) bins of a space-time covariance. In simulations, we demonstrate that our approach can offer superior accuracy and computational efficiency compared to the existing polynomial MUSIC algorithm.

University of Strathclyde (GB)
Openalex Percentile: Top 76%
Direction-of-Arrival Estimation Techniques
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