2011
DOI: 10.1109/tim.2011.2124770
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Polynomial Chirplet Transform With Application to Instantaneous Frequency Estimation

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Cited by 232 publications
(93 citation statements)
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“…In the past decades, a number of mathematical methods have been successfully developed for detecting the instantaneous frequencies of electrical, mechanical and medical signals, such as [8][9][10][11][12][13][14][15], but the simplest of which is through detecting the zero-crossings contained in the signal [8]. However, the practical application of such a simple method is often constrained due to the concern of its poor robust performance against noise.…”
Section: B Transient Period Detection Methodsmentioning
confidence: 99%
“…In the past decades, a number of mathematical methods have been successfully developed for detecting the instantaneous frequencies of electrical, mechanical and medical signals, such as [8][9][10][11][12][13][14][15], but the simplest of which is through detecting the zero-crossings contained in the signal [8]. However, the practical application of such a simple method is often constrained due to the concern of its poor robust performance against noise.…”
Section: B Transient Period Detection Methodsmentioning
confidence: 99%
“…Peng et al [166,167] systematically studied the parametric TFA, and first proposed polynomial chirplet transform and splinekernelled chirplet transform [168]. They then generalized warblet transform [169], and later parameterized TFA [170,171].…”
Section: Sparse Decomposition Analysismentioning
confidence: 99%
“…For the purpose of comparison, Fig. 2(b)-(g) depict the TFDs of the Doppler signal, which are generated by the STFT, WVD, pseudo WVD, polynomial chirplet transform (PCT [23]) and proposed MWT with the kernel characteristic parameters equal to the coefficients of the polynomial in Fig. 2(a).…”
Section: Matched Wigner Transformmentioning
confidence: 99%
“…This procedure keeps iterating until no evident modification is observed in the concentration of the TFD by the MWT or in the estimated IF. When the concentration of the TFD is used as the criterion, the Renyi entropy can be used to measure the concentration [23,24], which is defined as follows:…”
Section: If Estimate Based On the Mwtmentioning
confidence: 99%