Robust Broadband Beamforming using Bilinear Programming

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Bibliographic Details
Main Authors:	Singh, Nakul, DeLude, Coleman, Davenport, Mark A., Romberg, Justin
Format:	Preprint
Published:	2024
Subjects:	Signal Processing
Online Access:	Acceder al recurso
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author	Singh, Nakul DeLude, Coleman Davenport, Mark A. Romberg, Justin
author_facet	Singh, Nakul DeLude, Coleman Davenport, Mark A. Romberg, Justin
contents	We introduce a new method for robust beamforming, where the goal is to estimate a signal from array samples when there is uncertainty in the angle of arrival. Our method offers state-of-the-art performance on narrowband signals and is naturally applied to broadband signals. Our beamformer operates by treating the forward model for the array samples as unknown. We show that the "true" forward model lies in the linear span of a small number of fixed linear systems. As a result, we can estimate the forward operator and the signal simultaneously by solving a bilinear inverse problem using least squares. Our numerical experiments show that if the angle of arrival is known to only be within an interval of reasonable size, there is very little loss in estimation performance compared to the case where the angle is known exactly.
format	Preprint
id	arxiv_https___arxiv_org_abs_2406_16304
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Robust Broadband Beamforming using Bilinear Programming Singh, Nakul DeLude, Coleman Davenport, Mark A. Romberg, Justin Signal Processing We introduce a new method for robust beamforming, where the goal is to estimate a signal from array samples when there is uncertainty in the angle of arrival. Our method offers state-of-the-art performance on narrowband signals and is naturally applied to broadband signals. Our beamformer operates by treating the forward model for the array samples as unknown. We show that the "true" forward model lies in the linear span of a small number of fixed linear systems. As a result, we can estimate the forward operator and the signal simultaneously by solving a bilinear inverse problem using least squares. Our numerical experiments show that if the angle of arrival is known to only be within an interval of reasonable size, there is very little loss in estimation performance compared to the case where the angle is known exactly.
title	Robust Broadband Beamforming using Bilinear Programming
topic	Signal Processing
url	https://arxiv.org/abs/2406.16304

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