On Interference-Rejection Using Riemannian Geometry for Direction of Arrival Estimation

Fuente: arXiv
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Hauptverfasser: Bar, Amitay, Talmon, Ronen
Format: Preprint
Veröffentlicht: 2023
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author Bar, Amitay
Talmon, Ronen
author_facet Bar, Amitay
Talmon, Ronen
contents We consider the problem of estimating the direction of arrival of desired acoustic sources in the presence of multiple acoustic interference sources. All the sources are located in noisy and reverberant environments and are received by a microphone array. We propose a new approach for designing beamformers and DoA estimation methods based on the Riemannian geometry of the manifold of Hermitian positive definite matrices. Specifically, we show theoretically that incorporating the Riemannian mean of the spatial correlation matrices into frequently-used beamformers gives rise to spatial spectra that reject the directions of interference sources and result in a higher signal-to-interference ratio. We experimentally demonstrate the advantages of our approach in designing several beamformers and a recent DoA estimation method in the presence of simultaneously active multiple interference sources.
format Preprint
id arxiv_https___arxiv_org_abs_2301_03399
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On Interference-Rejection Using Riemannian Geometry for Direction of Arrival Estimation
Bar, Amitay
Talmon, Ronen
Signal Processing
We consider the problem of estimating the direction of arrival of desired acoustic sources in the presence of multiple acoustic interference sources. All the sources are located in noisy and reverberant environments and are received by a microphone array. We propose a new approach for designing beamformers and DoA estimation methods based on the Riemannian geometry of the manifold of Hermitian positive definite matrices. Specifically, we show theoretically that incorporating the Riemannian mean of the spatial correlation matrices into frequently-used beamformers gives rise to spatial spectra that reject the directions of interference sources and result in a higher signal-to-interference ratio. We experimentally demonstrate the advantages of our approach in designing several beamformers and a recent DoA estimation method in the presence of simultaneously active multiple interference sources.
title On Interference-Rejection Using Riemannian Geometry for Direction of Arrival Estimation
topic Signal Processing
url https://arxiv.org/abs/2301.03399