Properties and convergence analysis of FMmlet transform

  • Qionghai Dai
  • Zou Hongxing
  • Liu Zhixin
  • Wang Dianjun
  • Li Yanda
Article
  • 15 Downloads

Abstract

The linearity, time shifting, time scaling, and time inversion properties of FMmlet transform are proved, and the frequency shifting property of one of the subspaces of FMmlet transform, namely the chirplet transform is presented. Moreover, it is proved that in the process of FMmlet based atomic signal decomposition, the residual signals decay exponentially.

Keywords

FMmlet transform property chirplet transform matching pursuit parametric time-frequency signal representation 

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References

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Copyright information

© Science in China Press 2002

Authors and Affiliations

  • Qionghai Dai
    • 1
  • Zou Hongxing
    • 1
  • Liu Zhixin
    • 2
  • Wang Dianjun
    • 2
  • Li Yanda
    • 1
  1. 1.Department of AutomationTsinghua UniversityBeijingChina
  2. 2.Department of Mathematical SciencesTsinghua UniversityBeijingChina

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