The Wigner-Ville Transform as an Information Theoretic Tool in Radio-frequency Signal Analysis

Fuente: arXiv
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Main Authors: Lentz, Erik, Ellwein, Emily, Kay, Bill, Myers, Audun, Mackenzie, Cameron
Format: Preprint
Published: 2025
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author Lentz, Erik
Ellwein, Emily
Kay, Bill
Myers, Audun
Mackenzie, Cameron
author_facet Lentz, Erik
Ellwein, Emily
Kay, Bill
Myers, Audun
Mackenzie, Cameron
contents This paper presents novel interpretations to the field of classical signal processing of the Wigner-Ville transform as an information measurement tool. The transform's utility in detecting and localizing information-laden signals amidst noisy and cluttered backgrounds, and further providing measure of their information volumes, are detailed herein using Tsallis' entropy and information and related functionals. Example use cases in radio frequency communications are given, where Wigner-Ville-based detection measures can be seen to provide significant sensitivity advantage, for some shown contexts greater than 15~dB advantage, over energy-based measures and without extensive training routines. Such an advantage is particularly significant for applications which have limitations on observation resources including time/space integration pressures and transient and/or feeble signals, where Wigner-Ville-based methods would improve sensing effectiveness by multiple orders of magnitude. The potential for advancement of several such applications is discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24488
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Wigner-Ville Transform as an Information Theoretic Tool in Radio-frequency Signal Analysis
Lentz, Erik
Ellwein, Emily
Kay, Bill
Myers, Audun
Mackenzie, Cameron
Signal Processing
Information Theory
Quantum Physics
This paper presents novel interpretations to the field of classical signal processing of the Wigner-Ville transform as an information measurement tool. The transform's utility in detecting and localizing information-laden signals amidst noisy and cluttered backgrounds, and further providing measure of their information volumes, are detailed herein using Tsallis' entropy and information and related functionals. Example use cases in radio frequency communications are given, where Wigner-Ville-based detection measures can be seen to provide significant sensitivity advantage, for some shown contexts greater than 15~dB advantage, over energy-based measures and without extensive training routines. Such an advantage is particularly significant for applications which have limitations on observation resources including time/space integration pressures and transient and/or feeble signals, where Wigner-Ville-based methods would improve sensing effectiveness by multiple orders of magnitude. The potential for advancement of several such applications is discussed.
title The Wigner-Ville Transform as an Information Theoretic Tool in Radio-frequency Signal Analysis
topic Signal Processing
Information Theory
Quantum Physics
url https://arxiv.org/abs/2512.24488