Affiliation:
1. Institute of Information and System Science, Beifang University of Nationalities, Yinchuan, 750021, P. R. China
Abstract
In this paper, orthogonal multiwavelets on interval [0, 1] with arbitrary compact support γ and integer dilation factor a are studied. Firstly, the concept of multiwavelets on the interval [0, 1] is generalized to the arbitrary integer dilation factor a, a ≥ 2, a ∈ ℤ, and an algorithm for constructing orthogonal multiscaling function and multiwavelets on interval [0, 1] with dilation factor a is presented. Secondly, the decomposition and reconstruction formulas of multiwavelets on interval [0, 1] are deduced. Finally, the "balancing" concept of multiwavelets on the interval [0, 1] with dilation factor a is defined, and the algorithm of balancing the unbalanced multiwavelets on the interval [0, 1] is also given.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Information Systems,Signal Processing
Cited by
2 articles.
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1. High Balanced Biorthogonal Multiwavelets with Symmetry;Abstract and Applied Analysis;2014
2. SCALE-INVARIANT V-TRANSFORM AND ITS APPLICATION TO SIGNAL DE-NOISING;International Journal of Wavelets, Multiresolution and Information Processing;2013-09