Affiliation:
1. Applied Science College, Harbin University of Science and Technology, Harbin 150080, P. R. China
Abstract
In this paper, we show that the space of continuous wavelet transform is a reproducing kernel Hilbert space based on the fundamental theorem of linear transform. An admissible wavelet is got by convolution computation which is made into continuous wavelet transform. By the theory of reproducing kernel we can discuss correlative properties of image space of wavelet transform, which provide theoretic frame for us to study image space of the general wavelet transform.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Information Systems,Signal Processing
Cited by
1 articles.
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1. An algorithm for Morlet wavelet transform based on generalized discrete Fourier transform;International Journal of Wavelets, Multiresolution and Information Processing;2019-09