Projects per year
Abstract
The proof of existence of an analytic singular value decomposition (SVD) has been formally established. This motivates the need to devise an algorithm which retrieves analytic singular values that are real-valued on the unit circle. We propose a frequency domain method which first computes a standard SVD of the given polynomial matrix in each discrete Fourier transform (DFT) bin. To re-establish their association across bins, the bin-wise singular values are permuted by assessing the orthogonality of singular vectors in adjacent DFT bins. In addition, the proposed algorithm determines whether bin-wise singular value should become negative, which could be required for analyticity. The proposed algorithm is validated through an ensemble of polynomial matrices with known analytic SVD.
Original language | English |
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Title of host publication | 32nd European Signal Processing Conference |
Subtitle of host publication | EUSIPCO 2024 |
Place of Publication | Piscataway, NJ |
Publisher | IEEE |
Pages | 1297-1301 |
Number of pages | 5 |
ISBN (Print) | 9789464593617 |
Publication status | Published - 30 Aug 2024 |
Event | 32nd European Signal Processing Conference - Lyon Convention Centre, Lyon, France Duration: 26 Aug 2024 → 30 Aug 2024 https://eusipcolyon.sciencesconf.org/ |
Conference
Conference | 32nd European Signal Processing Conference |
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Abbreviated title | EUSIPCO'24 |
Country/Territory | France |
City | Lyon |
Period | 26/08/24 → 30/08/24 |
Internet address |
Keywords
- extraction algorithms
- singular value decomposition (SVD)
- signal processing
Fingerprint
Dive into the research topics of 'Extraction of analytic singular values of a polynomial matrix'. 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
- 1 Article
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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)173 Downloads (Pure)