Acoustic eigenvalue estimation using Rayleigh quotient iteration with a sparse matrix pencil

Prinn AG, Habets E (2025)

Publication Type: Journal article

Publication year: 2025

Journal

Applied Acoustics Elsevier

Book Volume: 232

Article Number: 110573

DOI: 10.1016/j.apacoust.2025.110573

Abstract

Various methods for estimating acoustic eigenvalues from a measured signal can be found in the literature. Among these methods, the matrix pencil method is a popular choice. The matrix pencil method provides reasonable eigenvalue estimates, albeit alongside several spurious estimates. This work uses Rayleigh quotient iteration to avoid these spurious values. Additionally, a sparse matrix structure is used to write the matrix pencil. The approach is verified using simulated data and validated using measured data. When reliable initial guesses for a few eigenvalues are available, the proposed method provides efficient and accurate eigenvalue estimates.

Authors with CRIS profile

Emanuël Habets Lehrstuhl für wahrnehmungsbasierte räumliche Audiosignalverarbeitung (AudioLabs)

Involved external institutions

Fraunhofer-Institut für Integrierte Schaltungen (IIS) DE Germany (DE)

How to cite

APA:

Prinn, A.G., & Habets, E. (2025). Acoustic eigenvalue estimation using Rayleigh quotient iteration with a sparse matrix pencil. Applied Acoustics, 232. https://doi.org/10.1016/j.apacoust.2025.110573

MLA:

Prinn, Albert G., and Emanuël Habets. "Acoustic eigenvalue estimation using Rayleigh quotient iteration with a sparse matrix pencil." Applied Acoustics 232 (2025).

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