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Abstract
We have proposed a broadband subspace approach to detect the presence of
weak transient signals; this is based on second order statistics of sensor array data — the space-time covariance matrix — and a polynomial matrix EVD; this covariance matrix and its decomposition can be computed off-line; a subspace decomposition for the noise-only subspace determines a syndrome vector; in the absence of a transient signal, this syndrome only contains noise; a transient signal is likely to protrude into the noise-only subspace, and a change in
energy can be detected even if the signal is weak; discrimination can be traded off against decision time; further work: (i) impact of time-varying channels, and (ii) forensic investigation of the transient source once detected.
weak transient signals; this is based on second order statistics of sensor array data — the space-time covariance matrix — and a polynomial matrix EVD; this covariance matrix and its decomposition can be computed off-line; a subspace decomposition for the noise-only subspace determines a syndrome vector; in the absence of a transient signal, this syndrome only contains noise; a transient signal is likely to protrude into the noise-only subspace, and a change in
energy can be detected even if the signal is weak; discrimination can be traded off against decision time; further work: (i) impact of time-varying channels, and (ii) forensic investigation of the transient source once detected.
Original language | English |
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Number of pages | 19 |
Publication status | Published - 27 Jul 2021 |
Event | Isaac Newton Institute: The Future of Mathematical Challenges in the Electromagnetic Environment - Isaac Newton Institute, Cambridge, United Kingdom Duration: 27 Jul 2021 → 28 Jul 2021 https://gateway.newton.ac.uk/event/tgmw99/programme |
Workshop
Workshop | Isaac Newton Institute: The Future of Mathematical Challenges in the Electromagnetic Environment |
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Abbreviated title | CEME |
Country/Territory | United Kingdom |
City | Cambridge |
Period | 27/07/21 → 28/07/21 |
Internet address |
Keywords
- transient signal detection
- eigenvalue decomposition
- polynomial matrix
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Signal Processing in the Information Age (UDRC III)
EPSRC (Engineering and Physical Sciences Research Council)
1/07/18 → 31/03/24
Project: Research