The time-frequency distributions of nonstationary signals based on a Bessel kernel

Author

Guo, Zhenyu ; Durand, Louis-Gilles ; Lee, Howard C.

Author_Institution

Lab. of Biomed. Eng., Clinical Res. Inst. of Montreal, Que., Canada

Volume

42

Issue

7

fYear

1994

fDate

7/1/1994 12:00:00 AM

Firstpage

1700

Lastpage

1707

Abstract

A kernel based on the first kind Bessel function of order one is proposed to compute the time-frequency distributions of nonstationary signals. This kernel can suppress the cross terms of the distribution effectively. It is shown that the Bessel distribution (the time-frequency distribution using Bessel kernel) meets most of the desirable properties with high time-frequency resolution. A numerical alias-free implementation of the distribution is presented. Examples of applications in time-frequency analysis of the heart´s sound and Doppler blood flow signals are given to show that the Bessel distribution can be easily adapted to two very different signals for cardiovascular signal processing. By controlling a kernel parameter, this distribution can be used to compute the time-frequency representations of transient deterministic and random signals. The study confirms the potentials of the proposed distribution in nonstationary signal analysis

Keywords

Bessel functions; Doppler effect; acoustic signal processing; biomedical measurement; cardiology; flow measurement; haemodynamics; medical signal processing; time-frequency analysis; Bessel distribution; Bessel kernel; Doppler blood flow signal; cardiovascular signal processing; cross terms; first kind Bessel function of order one; heart; nonstationary signal analysis; nonstationary signals; numerical alias-free implementation; random signals; time-frequency distributions; transient deterministic signals; Acoustic signal processing; Blood flow; Cardiology; Distributed computing; Heart; Kernel; Process control; Signal processing; Signal resolution; Time frequency analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.298277

Filename

298277