2014
DOI: 10.1016/j.jfranklin.2013.09.028
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Asymmetric Gaussian chirplet model and parameter estimation for generalized echo representation

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Cited by 30 publications
(16 citation statements)
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“…Multi-scale analysis techniques map a 1D signal into a high dimensional space with transform based on a kernel function, including short-time Fourier transform (STFT), Wavelet transform (the continue wavelet transform (CWT), the discrete wavelet transform (DWT) and wave packet transform), Gabor transform [72], Chirplet transform [73] and asymmetric Gaussian Chirplet transform [74,75]. When the mapping data space express the changing frequency of the signal parameters, the algorithm can be used for time-frequency analysis [76].…”
Section: Multi-scale Analysis Techniquesmentioning
confidence: 99%
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“…Multi-scale analysis techniques map a 1D signal into a high dimensional space with transform based on a kernel function, including short-time Fourier transform (STFT), Wavelet transform (the continue wavelet transform (CWT), the discrete wavelet transform (DWT) and wave packet transform), Gabor transform [72], Chirplet transform [73] and asymmetric Gaussian Chirplet transform [74,75]. When the mapping data space express the changing frequency of the signal parameters, the algorithm can be used for time-frequency analysis [76].…”
Section: Multi-scale Analysis Techniquesmentioning
confidence: 99%
“…The detail description of Eq. (11) is given in Refs [81,82]. Gabor transform and the Chirplet transform projects a signal energy distribution in a time-frequency plane, which does not induce interference terms [83].…”
Section: Multi-scale Analysis Techniquesmentioning
confidence: 99%
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“…Further note that, since in this work we concentrate on the envelope part of AGCM, the form and type of the frequency part F p is not significant for the here proposed algorithm and may be replaced by other model functions. However, we kept with the chirplet function as it follows the derivation of the model in (Demirli and Saniie, 2014).…”
Section: Theory Asymmetric Gaussian Chirplet Modelmentioning
confidence: 99%
“…To monitor and determine the characteristics of the test subject nondestructively, the ultrasonic echo signal needs to be processed for flaw detection. Different computational intense methods including Split Spectrum Processing (SSP), Chirplet Signal Decomposition (CSD), and Discrete Wavelet Transform (DWT) are shown to be promising for ultrasonic signal analysis [1][2][3][4][5][6][7][8][9][10][11][12]. In this study, for the specific applications and test setup at hand, the SSP method [1] is of interest for processing the signal, and DWT methodology is of interest for compressing, transmitting, storing, and decompressing the signal for later analysis [6].…”
Section: Introductionmentioning
confidence: 99%