Computational and Numerical Properties of a Broadband Subspace-Based Likelihood Ratio Test

Autor: Pahalson, Cornelius A. H., Crockett, Louise H., Weiss, Stephan
Rok vydání: 2024
Předmět:
Zdroj: IEEE High Performance Extreme Computing Conference, Waltham, MA, September 2024
Druh dokumentu: Working Paper
Popis: This paper investigates the performance of a likelihood ratio test in combination with a polynomial subspace projection approach to detect weak transient signals in broadband array data. Based on previous empirical evidence that a likelihood ratio test is advantageously applied in a lower-dimensional subspace, we present analysis that highlights how the polynomial subspace projection whitens a crucial part of the signals, enabling a detector to operate with a shortened temporal window. This reduction in temporal correlation, together with a spatial compaction of the data, also leads to both computational and numerical advantages over a likelihood ratio test that is directly applied to the array data. The results of our analysis are illustrated by examples and simulations.
Databáze: arXiv