The isometric identity formulas in the modified Morlet wavelet transform

Hong Wei Han, Caixia Deng · 2007

In this paper, for the modified Morlet wavelet which is a familiar complex-valued wavelet, the expression of the reproducing kernel function of its images space is shown. Meanwhile the isometric identity formulas in the modified Morlet wavelet transform are given by the particular technique of reproducing kernel theory. It provides theoretic basis for further understanding the image space of wavelet transform.

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