Virtues and vices of quartic time-frequency distributions

Author

O´Neill, Jeffrey C. ; Flandrin, Patrick

Author_Institution

Lernout & Hauspie Speech Products, Burlington, MA, USA

Volume

48

Issue

9

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

2641

Lastpage

2650

Abstract

We present results concerning three different types of quartic (fourth order) time-frequency distributions (TFDs). First, we present new results on the previously introduced local ambiguity function and show that it provides more reliable estimates of instantaneous chirp rate than the Wigner distribution. Second, we introduce the class of quartic, shift-covariant, time-frequency distributions and investigate distributions that localize quadratic chirps. Finally, we present a shift covariant distribution of time and chirp rate

Keywords

Wigner distribution; signal representation; time-frequency analysis; Wigner distribution; chirp rate; fourth order time-frequency distributions; instantaneous chirp rate; local ambiguity function; quadratic chirps localization; quartic time-frequency distributions; reliable estimates; shift covariant distribution; shift-covariant distributions; signal representation; Chirp modulation; Continuous wavelet transforms; Fourier transforms; Frequency measurement; Helium; Kernel; Signal analysis; Signal representations; Time frequency analysis; Time measurement;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.863070

Filename

863070