The Construction of Trivariate Nonseparable Orthogonal Wavelets with Special Dilation Matrix
Miao Yang · Shuxue de shijian yu renshi · 2011
Multi-dimensional wavelet analysis is powerful instrument to analysis and due to multidimensional digital signal.Nonseparable Multi-dimensional wavelet is widely used in modulation recognition,texture analysis,and boundary check and so on.In this paper,we provides an algorithm of construction of compactly supported trivariate nonseparable orthogonal wavelets with dilation matrix(101-1-110-10),wavelets inherit the symmetry of the corresponding scaling function and satisfy the vanishing moment condition originating in the symbols of the scaling function.Therefore,it is convenient to use this kind of wavelets in signal processing.Finally,an example is also given to demonstrate the general theory.