Detection and resolution of narrow band signal components by concentrating the DFT

David C. Smith, Douglas J. Nelson

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

1 Scopus citations

Abstract

We present a method for concentrating the Discrete Fourier Transform (DFT) and generating a spectral representation which may be used to more accurately detect, locate, and resolve narrow band signal components than the power spectrum. The method relies on the observation that, under mild hypothesis, the instantaneous frequency of a complex-valued signal is proportional to the phase of its cross-power spectrum. We demonstrate by examples that in high noise environments, the method significantly outperforms the Welch method for detecting, locating and resolving narrow band components. 2006 American Institute of Physics.

Original languageEnglish
Title of host publicationINFORMATION OPTICS
Subtitle of host publication5th International Workshop on Information Optics, WIO'06
PublisherAmerican Institute of Physics Inc.
Pages200-209
Number of pages10
ISBN (Print)0735403562, 9780735403567
DOIs
StatePublished - 2006
Externally publishedYes
EventINFORMATION OPTICS: 5th International Workshop on Information Optics, WIO'06 - Toledo, Spain
Duration: Jun 5 2006Jun 7 2006

Publication series

NameAIP Conference Proceedings
Volume860
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceINFORMATION OPTICS: 5th International Workshop on Information Optics, WIO'06
Country/TerritorySpain
CityToledo
Period06/5/0606/7/06

Keywords

  • Cross-power spectrum
  • Detection and estimation
  • Discrete fourier transform
  • Discrete-time fourier transform
  • Frequency resolution
  • Instantaneous frequency
  • Spectral analysis
  • Welch method

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