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Integral representations of the TT-transform
Authors:C. R. Pinnegar  Hongmei Zhu
Affiliation:1. Calgary Scientific, Inc. , 208-1210 20th Avenue SE, Calgary, Alberta T2G 1M8, Canada;2. Department of Mathematics and Statistics , York University , 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada
Abstract:The TT-transform of a signal is defined to be the time–time representation of the Stockwell transform that gives the time–frequency information of the signal. Two integral representations of the TT -transform are given.
Keywords:Fourier transform  Gabor transform  Stockwell transform  TT-transform  Pseudo-differential operators  Signals  Dawson's integral
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