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An Asymptotic Expansion of Continuous Wavelet Transform for Small Dilation Parameter
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In this paper, we derive asymptotic expansion of the wavelet transform for small values of the dilation parameter a by using Lopez and Pagola technique. Asymptotic expansion of Morlet wavelet, Mexican Hat wavelet and Haar wavelet transform are obtained as a special cases.
Keywords
Asymptotic expansion, Wavelet transform, Fourier transform, Mellin transform.
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