Detection of weak transient broadband signals using a polynomial subspace and likelihood ratio test approach

Tools

Pahalson, Cornelius A.D. and Crockett, Louise H. and Weiss, Stephan; (2024) Detection of weak transient broadband signals using a polynomial subspace and likelihood ratio test approach. In: 32nd European Signal Processing Conference. IEEE, FRA, pp. 1312-1316. ISBN 9789464593617

[thumbnail of Detection-of-weak-transient-broadband-signals-using-a-polynomial-subspace-and-likelihood-ratio-test-approach]
Preview
 Text. Filename: Detection-of-weak-transient-broadband-signals-using-a-polynomial-subspace-and-likelihood-ratio-test-approach.pdf
Accepted Author Manuscript
License: Strathprints license 1.0
Download (378kB)| Preview

Abstract

This paper investigates the detection of a weak transient broadband signal. We compare a polynomial subspace detection approach to a likelihood ratio test. While the later is statistically optimal, there may be reasons of computational efficiency and numerical robustness to combine such a likelihood ratio test with the subspace approach. We provide a review of these methods, highlight some of their similarities and differences, and demonstrate in simulations that in particular in the case of detecting very weak signals or signals in very dispersive environments, there may be a compelling argument for combining the two test methods.

ORCID iDs

Pahalson, Cornelius A.D., Crockett, Louise H. ORCID logoORCID: https://orcid.org/0000-0003-4436-0254 and Weiss, Stephan ORCID logoORCID: https://orcid.org/0000-0002-3486-7206;
CORE (COnnecting REpositories)