Detection and estimation of generalized chirps using time-frequency representations4

Antonia Papandreou, G. Faye Boudreaux-Bartels, Steven M. Kay

Research output: Chapter in Book/Report/Conference proceedingConference contribution

15 Scopus citations

Abstract

We propose techniques for the detection and parameter estimation of generalized chirps in the presence of noise. Generalized chirps are nonstationary signals characterized by group delays with specific dispersion law characteristics. Special cases of generalized chirps include linear chirps, and hyperbolic chirps that are Doppler-invariant signals. We optimally detect generalized chirps using generalized timeshift covariant quadratic time-frequency representations (QTFRs) such as hyperbolic QTFRs used for detecting hyperbolic chirps. We also propose the parameter estimation of generalized chirps, and specialize our simulation results to hyperbolic chirps. We combine phase unwrapping with linear regression of the phase data at high signal-to-noise ratios (SNRs) to produce very simple and unbiased estimators that attain the Cramer-Rao lower bounds on variance. Maximum likelihood estimation performs well at low SNRs, but at the cost of high computational complexity.

Original languageEnglish (US)
Title of host publicationConference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994
PublisherIEEE Computer Society
Pages50-54
Number of pages5
ISBN (Electronic)0818664053
DOIs
StatePublished - Jan 1 1994
Externally publishedYes
Event28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994 - Pacific Grove, United States
Duration: Oct 31 1994Nov 2 1994

Publication series

NameConference Record - Asilomar Conference on Signals, Systems and Computers
Volume1
ISSN (Print)1058-6393

Conference

Conference28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994
CountryUnited States
CityPacific Grove
Period10/31/9411/2/94

ASJC Scopus subject areas

  • Signal Processing
  • Computer Networks and Communications

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    Papandreou, A., Boudreaux-Bartels, G. F., & Kay, S. M. (1994). Detection and estimation of generalized chirps using time-frequency representations4. In Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994 (pp. 50-54). [471415] (Conference Record - Asilomar Conference on Signals, Systems and Computers; Vol. 1). IEEE Computer Society. https://doi.org/10.1109/ACSSC.1994.471415