Projects per year
Abstract
This article is devoted to the polynomial eigenvalue decomposition (PEVD) and its applications in broadband multichannel signal processing, motivated by the optimum solutions provided by the EVD for the narrowband case [1], [2]. In general, we would like to extend the utility of the EVD to also address broadband problems. Multichannel broadband signals arise at the core of many essential commercial applications, such as telecommunications, speech processing, health-care monitoring, astronomy and seismic surveillance, and military technologies, including radar, sonar, and communications [3]. The success of these applications often depends on the performance of signal processing tasks, including data compression [4], source localization [5], channel coding [6], signal enhancement [7], beamforming [8], and source separation [9]. In most cases and for narrowband signals, performing an EVD is the key to the signal processing algorithm. Therefore, this article aims to introduce the PEVD as a novel mathematical technique suitable for many broadband signal processing applications.
Original language | English |
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Pages (from-to) | 18-37 |
Number of pages | 20 |
Journal | IEEE Signal Processing Magazine |
Volume | 40 |
Issue number | 7 |
DOIs | |
Publication status | Published - 8 Nov 2023 |
Keywords
- polynomial matrix
- polynomial matrix eigen value decomposition
- multichannel broadband processing
- space-time covariance matrix
- lossless filter banks
- broadband beamforming
- subband coding
- speech enchancement
Fingerprint
Dive into the research topics of 'Polynomial eigenvalue decomposition for multichannel broadband signal processing: a mathematical technique offering new insights and solutions'. Together they form a unique fingerprint.Projects
- 1 Finished
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Signal Processing in the Information Age (UDRC III)
Weiss, S. (Principal Investigator) & Stankovic, V. (Co-investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/07/18 → 31/03/24
Project: Research
Research output
- 11 Citations
- 4 Article
-
On properties and structure of the analytic singular value decomposition
Weiss, S., Proudler, I. K., Barbarino, G., Pestana, J. & McWhirter, J. G., 8 May 2024, In: IEEE Transactions on Signal Processing. 72, p. 2260-2275 16 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile7 Citations (Scopus)172 Downloads (Pure) -
Eigenvalue decomposition of a parahermitian matrix: extraction of analytic eigenvalues
Weiss, S., Proudler, I. K. & Coutts, F. K., 28 Feb 2021, In: IEEE Transactions on Signal Processing. 69, p. 722-737 16 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile33 Citations (Scopus)123 Downloads (Pure) -
Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix"
Weiss, S., Pestana, J., Proudler, I. K. & Coutts, F. K., 1 Dec 2018, In: IEEE Transactions on Signal Processing. 66, 23, p. 6325-6327 3 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile33 Citations (Scopus)43 Downloads (Pure)