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 eigenvalue decomposition (EVD) for the narrow-band case [1], [2]. In general, the successful techniques from narrowband problems can also be applied to broadband ones, leading to improved solutions. Multichannel broadband signals arise at the core of many essential commercial applications such as telecommunications, speech processing, healthcare monitoring, astronomy and seismic surveillance, and military technologies like 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 paper aims to introduce PEVD as a novel mathematical technique suitable for many broadband signal processing applications.
Original language | English |
---|---|
Pages (from-to) | 2-21 |
Number of pages | 20 |
Journal | IEEE Signal Processing Magazine |
DOIs | |
Publication status | Accepted/In press - 4 Apr 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'. Together they form a unique fingerprint.Projects
- 1 Active
-
Signal Processing in the Information Age (UDRC III)
EPSRC (Engineering and Physical Sciences Research Council)
1/07/18 → 31/03/24
Project: Research
Research output
- 3 Article
-
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 AccessFile12 Citations (Scopus)78 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 AccessFile21 Citations (Scopus)18 Downloads (Pure) -
On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix
Weiss, S., Pestana, J. & Proudler, I. K., 15 May 2018, In: IEEE Transactions on Signal Processing. 66, 10, p. 2659-2672 14 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile35 Citations (Scopus)281 Downloads (Pure)