Construction and Characteristics of Orthogonal Trivariate Multiwavelets with Finite Support
作者： Ruo Hui Liu , De Lin Hua
DOI: 10.4028/WWW.SCIENTIFIC.NET/AMR.461.860
关键词: Applied mathematics 、 Hermite polynomials 、 Computation 、 Mathematics 、 Mathematical analysis 、 Fast wavelet transform 、 Principle of orthogonal design 、 Filter bank 、 Class (set theory) 、 Simple (abstract algebra) 、 Wavelet
摘要: Materials science also deals with fundamental properties and characteristics of materi- als.In this paper, the notion of orthogonal vector-valued wavelets is introduced. A new method for constructing associated multiwavelets from multi-scaling functions is presented which is simple for computation. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is presented by using paraunitary vector filter bank theory, time-frequency analysis method and matrix theory. A new method for constructing a class of orthogonal finitectly supported vector-valued wavelets is presented.
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