Polynomial Chirplet Transform With Application to Instantaneous Frequency Estimation

Author

Peng, Z.K. ; Meng, G. ; Chu, F.L. ; Lang, Z.Q. ; Zhang, W.M. ; Yang, Y.

Author_Institution

State Key Lab. of Mech. Syst. & Vibration, Shanghai Jiao Tong Univ., Shanghai, China

Volume

60

Issue

9

fYear

2011

Firstpage

3222

Lastpage

3229

Abstract

In this paper, a new time-frequency analysis method known as the polynomial chirplet transform (PCT) is developed by extending the conventional chirplet transform (CT). By using a polynomial function instead of the linear chirp kernel in the CT, the PCT can produce a time-frequency distribution with excellent concentration for a wide range of signals with a continuous instantaneous frequency (IF). In addition, an effective IF estimation algorithm is proposed based on the PCT, and the effectiveness of this algorithm is validated by applying it to estimate the IF of a signal with a nonlinear chirp component and seriously contaminated by a Gaussian noise and a vibration signal collected from a rotor test rig.

Keywords

Gaussian noise; frequency estimation; polynomials; signal processing; time-frequency analysis; transforms; vibrations; Gaussian noise; IF estimation; PCT; instantaneous frequency estimation; linear chirp kernel; nonlinear chirp component; polynomial chirplet transform; rotor test rig; time-frequency analysis method; vibration signal; Chirp; Estimation; Kernel; Polynomials; Time frequency analysis; Trajectory; Transforms; Chirplet transform (CT); instantaneous frequency (IF); polynomial chirplet transform (PCT); short-time Fourier transform (STFT); time–frequency analysis;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/TIM.2011.2124770

Filename

5739524