Cited by 239Mathematical Analysis and Transform MethodsSparse and Compressive Sensing TechniquesMusic and Audio Processing

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Some features of time-frequency representations of multicomponent signals

Flandrin, P.·2005·ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing

DOI 10.1109/icassp.1984.1172741

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Abstract

The Wigner-Ville Distribution (WVD) is now known to be a convenient tool for the time-frequency analysis of non-stationary signals, and especially monocomponent ones. However, in the case of multicomponent signals, its bilinear structure is also known to create cross-terms without any physical significance. Starting with the general formulation of time-frequency representations, which only depend on an arbitrary kernel function, we first characterize properties of such cross-terms and then propose appropriate smoothings of the WVD in order to reduce their influence. Such suitable and versatile approximations are compared on synthetic and natural signals and an extension to time-frequency filtering is proposed.

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Authors: Flandrin, P.
Corresponding author: Flandrin, P.
ORCID: Flandrin, P.
Venue: ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing
Publisher: Institute of Electrical and Electronics Engineers
Published: 2005-03-24
Volume: 9
Pages: 266-269
ISSN: 1520-6149 (ISSN-L)
DOI: 10.1109/icassp.1984.1172741
OpenAlex: W1925346143
Cited by: 239
References: 6
Citations by year: 2026: 1 · 2025: 2 · 2024: 5 · 2023: 6 · 2022: 5 · 2021: 3 · 2020: 2 · 2019: 3 · 2018: 3 · 2017: 1 · 2016: 2 · 2015: 4 · 2014: 3 · 2013: 2 · 2012: 2
FWCI: 26.53
Type: conference paper
Language: en
Open access: closed
Locations: IEEE International Conference on Acoustics Speech and Signal Processing (publishedVersion)
Topics: Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
Physical Sciences › Computer Science › Signal Processing › Sparse and Compressive Sensing Techniques
Physical Sciences › Computer Science › Signal Processing › Music and Audio Processing
Keywords: Wigner-Ville distribution, multicomponent signals, cross terms, time-frequency representation, kernel functions, time-frequency filtering, non-stationary signals

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Some features of time-frequency representations of multicomponent signals

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