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Annales Des Télécommunications

, Volume 49, Issue 3–4, pp 132–136 | Cite as

An analysis of the Wigner higher order spectra of multicomponent signals

  • Ljubiša Stanković
Article
  • 51 Downloads

Abstract

The analysis of multicomponent signal representation by the Wigner higher order spectra is done. It is shown that the cross-terms can be removed only for an odd order, having equal number of conjugated and nonconjugated terms in the local multidimensional moment function. A method for higher order time-multifrequency analysis that eliminates cross-terms is proposed. This method turns out to be a dual definition of the L-Wigner distribution. The theory is illustrated by the numerical example.

Key words

Signal analysis Spectral analysis Complex signal Frequency time representation Spectral window Time window 

Analyse des spectres de wigner d#x2019;ordre sup#x00C9;rieur de signaux composites

Résumé

L’article étudie les spectres de Wigner d#x2019;ordre supérieur de fonctions déterministes composites. Ce sont des fonctions du temps et d’un nombre de pulsations égal à l’ordre du spectre. Les termes d'interaction entre les composantes du signal ne peuvent être supprimés que si l’ordre est impair, avec un nombre égal de termes conjugués et non conjugués dans le moment local multidimensionnel. L’élimination des termes d’interaction est possible par une méthode équivalente à une définition duale de la distribution L-Wigner. Un exemple numérique illustre la théorie.

Mots clés

Analyse signal Analyse spectrale Signal complexe Représentation temps fréquence Fenêtre spectrale Fenêtre temporelle 

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References

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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Ljubiša Stanković
    • 1
  1. 1.Elektrotehnicki fakultetPodgorica, MontenegroYougoslavie

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