Time-frequency chirp-Wigner transform for signals with any nonlinear polynomial time varying instantaneous frequency

L. Gelman, J. D. Gould

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The new technique, the time-frequency chirp-Wigner transform has been proposed recently. This technique is further investigated for the general case of higher order chirps, i.e. non-stationary signals with any nonlinear polynomial variation of the instantaneous frequency in time. Analytical and numerical comparison of the chirp-Wigner transform and the classical Wigner distribution was performed for processing of single-component and multi-component higher order chirps. It is shown for the general case of single component higher order chirps that the chirp-Wigner transform has an essential advantage in comparison with the traditional Wigner distribution: the chirp-Wigner transform ideally follows the nonlinear polynomial frequency variation without amplitude errors. It is shown for multi-component signal where each component is a higher order chirp, that the chirp-Wigner transform adjusted to a single component will follow the instantaneous frequency of the component without amplitude errors. It is also shown that the classical Wigner distribution is unable to estimate component amplitudes of single component and multi-component higher order chirps.

Original languageEnglish
Pages (from-to)2980-3002
Number of pages23
JournalMechanical Systems and Signal Processing
Volume21
Issue number8
Early online date25 May 2007
DOIs
Publication statusPublished - 1 Nov 2007
Externally publishedYes

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