The continuous wavelet transform and variable resolution time-frequency analysis

Amir Homayoon Najmi, John Sadowsky

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

Wavelet transforms have recently emerged as a mathematical tool for multiresolution decomposition of signals. They have potential applications in many areas of signal processing that require variable time-frequency localization. The continuous wavelet transform is presented here, and its frequency resolution is derived analytically and shown to depend exclusively on one parameter that should be carefully selected in constructing a variable resolution time-frequency distribution for a given signal. Several examples of application to synthetic and real data are shown.

Original languageEnglish (US)
Pages (from-to)134-139
Number of pages6
JournalJohns Hopkins APL Technical Digest (Applied Physics Laboratory)
Volume18
Issue number1
StatePublished - Jan 1997
Externally publishedYes

Keywords

  • Continuous wavelets
  • Signal processing
  • Time-frequency analysis

ASJC Scopus subject areas

  • Engineering(all)
  • Physics and Astronomy(all)

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