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Parametric Time-Frequency Representations

  • Y. Grenier
Part of the International Centre for Mechanical Sciences book series (CISM, volume 309)

Abstract

This text describes parametric time-frequency representations, called here reliefs. After an analysis of the properties expected for such a relief, the classes of nonstationary signals are studied. One observe several equivalences between various definitions. This permits to define the class for which the concept of relief will be valid: the class of harmonizable nondegenerate signals. Two reliefs are presented in details, one defined by Priestley for oscillatory signals, the other defined by Tjøstheim using a commutation relation between two operators representing time and frequency. A third relief is also discussed: the rational relief. It is more adequate and simpler to use for ARMA signals. The estimation of these reliefs is also considered, through time-dependent ARMA modelling.

Keywords

Impulse Response Commutation Relation Complex Exponential Rational Similitude Nonstationary Signal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1989

Authors and Affiliations

  • Y. Grenier
    • 1
  1. 1.Ecole Nationale Supérieure des TélécommunicationsParisFrance

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