A study of orthogonal, balanced and symmetric multi-wavelets on the interval

被引：0
|
作者：
Xieping Gao
Siwang Zhou
机构：
[1] Xiangtan University,College of Information and Engineering
[2] Hunan University,College of Computer and Communication
来源：
Science in China Series F: Information Sciences | 2005年 / 48卷
关键词：
orthogonality; balancing; symmetry; multiwavelet; interval;
D O I：
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学科分类号：
摘要：
The construction and properties of interval multi-wavelets based on symmetric/anti-symmetric orthogonal multi-wavelets onL2(R) with arbitrary supports and multiplicity 2 are introduced. The main contributions include that (1) we study the construction of general orthogonal interval multi-wavelets which preserve the polynomial-reproduction order, and obtain the parametric expressions of interval multi-wavelets; (2) we obtain the decomposition and reconstruction formulas of interval multi-wavelets; (3) we define the “balancing” concept of interval multi-wavelets for the first time and study the construction of orthogonal balancing multi-wavelets, which have been ignored in the past; (4) we study the necessary and sufficient conditions about the symmetry of interval multi-wavelets.
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页码：761 / 781
页数：20
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