Weak transient signal detection via a polynomial eigenvalue decomposition

Weiss, Stephan and Matthews, James and Jackson, Ben (2021) Weak transient signal detection via a polynomial eigenvalue decomposition. In: Isaac Newton Institute: The Future of Mathematical Challenges in the Electromagnetic Environment, 2021-07-27 - 2021-07-28, Isaac Newton Institute.

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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.