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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 spacetime covariance matrix — and a polynomial matrix EVD; this covariance matrix and its decomposition can be computed offline; a subspace decomposition for the noiseonly 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 noiseonly 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 timevarying 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 spacetime covariance matrix — and a polynomial matrix EVD; this covariance matrix and its decomposition can be computed offline; a subspace decomposition for the noiseonly 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 noiseonly 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 timevarying channels, and (ii) forensic investigation of the transient source once detected.
Original language  English 

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 

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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Dive into the research topics of 'Weak transient signal detection via a polynomial eigenvalue decomposition'. Together they form a unique fingerprint.Projects
 1 Finished

Signal Processing in the Information Age (UDRC III)
EPSRC (Engineering and Physical Sciences Research Council)
1/07/18 → 31/03/24
Project: Research