Some features of time-frequency representations of multicomponent signals
- 24 March 2005
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 9, 266-269
- https://doi.org/10.1109/icassp.1984.1172741
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.Keywords
This publication has 5 references indexed in Scilit:
- An interpretation of the Pseudo-Wigner-Ville distributionSignal Processing, 1984
- Time and frequency representation of finite energy signals: A physical property as a result of an hilbertian conditionSignal Processing, 1980
- Detection, estimation, and classification with spectrogramsThe Journal of the Acoustical Society of America, 1980
- Semi-classical mechanics in phase space: A study of Wigner’s functionPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1977
- Generalized Phase-Space Distribution FunctionsJournal of Mathematical Physics, 1966