Instantaneous frequency and wave shape functions (I)

Published

Journal Article

Although one can formulate an intuitive notion of instantaneous frequency, generalizing "frequency" as we understand it in e.g. the Fourier transform, a rigorous mathematical definition is lacking. In this paper, we consider a class of functions composed of waveforms that repeat nearly periodically, and for which the instantaneous frequency can be given a rigorous meaning. We show that Synchrosqueezing can be used to determine the instantaneous frequency of functions in this class, even if the waveform is not harmonic, thus generalizing earlier results for cosine wave functions. We also provide real-life examples and discuss the advantages, for these examples, of considering such non-harmonic waveforms. © 2012 Elsevier Inc.

Full Text

Duke Authors

Cited Authors

  • Wu, HT

Published Date

  • September 1, 2013

Published In

Volume / Issue

  • 35 / 2

Start / End Page

  • 181 - 199

Electronic International Standard Serial Number (EISSN)

  • 1096-603X

International Standard Serial Number (ISSN)

  • 1063-5203

Digital Object Identifier (DOI)

  • 10.1016/j.acha.2012.08.008

Citation Source

  • Scopus