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Polynomial Chirplet Transform With Application to Instantaneous Frequency Estimation | IEEE Journals & Magazine | IEEE Xplore

Polynomial Chirplet Transform With Application to Instantaneous Frequency Estimation


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). B...Show More

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.
Published in: IEEE Transactions on Instrumentation and Measurement ( Volume: 60, Issue: 9, September 2011)
Page(s): 3222 - 3229
Date of Publication: 28 March 2011

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