Resolution analysis of the T-class time-frequency distributions

Author

Rankine, L. ; Mesbah, M. ; Boashash, B.

Author_Institution

R. Brisbane & Women´´s Hosp., Perinatal Res. Centre, Univ. of Queensland, Herston, QLD

fYear

2007

fDate

12-15 Feb. 2007

Firstpage

1

Lastpage

4

Abstract

The T-class of time-frequency distributions (TFDs) is a newly proposed subclass of the general quadratic TFD class. The TFDs of this subclass are characterized by their time-lag kernels which are functions of time only. In this paper, we report the results of our investigation related to the time and frequency resolution of the T-class TFDs. It is shown, analytically, for the case of a linear chirp, that the frequency resolution is a function of both the smoothing parameter of the TFD kernel and the rate of change in instantaneous frequency. The results are then illustrated with a number of synthetic examples.

Keywords

signal resolution; smoothing methods; statistical distributions; time-frequency analysis; T-class time-frequency distributions; linear chirp; signal resolution analysis; smoothing parameter; time-lag kernels; Australia; Chirp; Fourier transforms; Frequency modulation; Hospitals; Kernel; Signal analysis; Signal resolution; Smoothing methods; Time frequency analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing and Its Applications, 2007. ISSPA 2007. 9th International Symposium on

Conference_Location

Sharjah

Print_ISBN

978-1-4244-0778-1

Electronic_ISBN

978-1-4244-1779-8

Type

conf

DOI

10.1109/ISSPA.2007.4555327

Filename

4555327