Polynomial Chirplet Transform With Application to Instantaneous Frequency Estimation

• Published in: IEEE transactions on instrumentation and measurement Vol. 60; no. 9; pp. 3222 - 3229
• Main Authors: Peng, Z. K., Meng, G., Chu, F. L., Lang, Z. Q., Zhang, W. M., Yang, Y.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2011; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Chirp; Chirplet transform (CT); Estimation; Gaussian; instantaneous frequency (IF); Instrumentation; Intermediate frequency; Kernel; Kernels; polynomial chirplet transform (PCT); Polynomials; short-time Fourier transform (STFT); Time frequency analysis; Trajectory; Transforms; Vibration
• ISSN: 0018-9456; 1557-9662
• DOI: 10.1109/TIM.2011.2124770

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.