Subspace Estimation Along a Frequency Band Through Projection Matrix Approximation
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http://hdl.handle.net/10045/123226
Título: | Subspace Estimation Along a Frequency Band Through Projection Matrix Approximation |
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Autor/es: | Selva, Jesus |
Grupo/s de investigación o GITE: | Señales, Sistemas y Telecomunicación |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Física, Ingeniería de Sistemas y Teoría de la Señal |
Palabras clave: | Signal subspace | Frequency band | Projection matrix approximation |
Área/s de conocimiento: | Teoría de la Señal y Comunicaciones |
Fecha de publicación: | 27-abr-2022 |
Editor: | Elsevier |
Cita bibliográfica: | Signal Processing. 2022, 198: 108600. https://doi.org/10.1016/j.sigpro.2022.108600 |
Resumen: | In this paper, we present a method to estimate the signal subspace at all the frequencies in a given band, which is computed from the usual set of frequency-bin sample covariance matrices in wideband subspace estimation. Fundamentally, the method exploits the similarity between the signal subspace at any two near-by frequencies to produce an improved subspace estimate along the band. Its key idea consists of modeling the signal subspace by means of a projection matrix function which is approximated by a polynomial. The method provides two improvements: a reduced-size representation of the signal subspace along the frequency band, and a quality improvement in wideband direction-of-arrival (DOA) estimators such as Incoherent Multiple Signal Classification (IC-MUSIC) and Modified Test of Orthogonality of Projected Subspaces (MTOPS). The paper includes the derivation of asymptotic bounds for the bias and root-mean-square (RMS) error of the projection matrix estimate, and a numerical assessment of the method and its combination with the previous two DOA estimators. |
Patrocinador/es: | This work was supported by the Spanish Ministry of Science and Innovation, the State Agency of Research (AEI) and the European Funds for Regional Development (EFRD) under Project PID2020-117303GB-C22. |
URI: | http://hdl.handle.net/10045/123226 |
ISSN: | 0165-1684 (Print) | 1872-7557 (Online) |
DOI: | 10.1016/j.sigpro.2022.108600 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.1016/j.sigpro.2022.108600 |
Aparece en las colecciones: | INV - SST - Artículos de Revistas |
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