A new linear time-frequency paradigm

Douglas J. Nelson, David C. Smith

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

8 Scopus citations


We propose a new linear time-frequency (TF) paradigm, in which the value of a signal at any time is distributed in frequency. Starting with the short time Fourier transform (STFT) representation of a signal, we apply a morphing process, based on the channelized instantaneous frequency (GIF), to obtain a new TF representation. When applied to a multicomponent signal which has linearly independent components and which satisfies a separability condition, the process produces a TF representation in which the value of each signal component is distributed along the component's instantaneous frequency curve in the time-frequency plane. The method is linear on the span of the signal's components, and cross-terms, which make it difficult for conventional TF methods to isolate individual components, do not occur. The individual components are effectively isolated in the new representation, and may be recovered by a straight-forward integration. We apply die new technique to remove an additive sinusoidal FM interferer from a speech signal, and demonstrate its superiority to either the STFT or standard spectral subtraction.

Original languageEnglish
Title of host publicationSixth IASTED International Conference on Signal and Image Processing
EditorsM.H. Hamza
Number of pages6
StatePublished - 2004
Externally publishedYes
EventSixth IASTED International Conference on Signal and Image Processing - Honolulu, HI, United States
Duration: Aug 23 2004Aug 25 2004

Publication series

NameSixth IASTED International Conference on Signal and Image Processing


ConferenceSixth IASTED International Conference on Signal and Image Processing
Country/TerritoryUnited States
CityHonolulu, HI


  • Channelized instantaneous frequency
  • Instantaneous frequency
  • Short time Fourier transform
  • Spectral subtraction
  • Time-frequency representations


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