On the time-frequency analysis of signals that decay exponentially with time

Shiu Keung Tang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

26 Citations (Scopus)


The use of the short-time Fourier transform and the wavelet transform implemented using the new harmonic wavelets for analyzing the time variation of the spectral contents of exponentially time-decaying signals is studied in the present investigation. Focus is also placed on how well these methods can recover the decay constant of each frequency component in the signals in a relatively narrow bandwidth situation. Both artificial and experimentally recorded signals have been used. Results suggest that the short-time Fourier transform is in general more reliable than the wavelet transform for the present purpose. The short-time Fourier transform also gives excellent recovery of the decay constants if the signals are made up of discrete frequency components.
Original languageEnglish
Pages (from-to)241-258
Number of pages18
JournalJournal of Sound and Vibration
Issue number2
Publication statusPublished - 6 Jul 2000

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering


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