自动化学报2012，Vol.38Issue(12)：1996-2004,9.DOI:10.3724/SP.J.1004.2012.01996
r重a尺度正交平衡插值多小波的设计
The Study of The Orthogonal Balanced Interpolation Multi-wavelets with Multiplicity r and Dilation Factor a
摘要
Abstract
The orthogonal balanced interpolation multi-wavelets with multiplicity r and dilation factor a are discussed in this paper, where a ≠ r. The obtained multi-scaling function is orthogonal, balanced, and interpolated. And the corresponding multi-wavelets is orthogonal and interpolated. Firstly, according to the definition of interpolation multi-wavelets, the explicit equation of the interpolation condition of the multi-scaling function with multiplicity r and dilation factor a is obtained by using the round-off number function. Secondly, the orthogonal interpolation multi-wavelets with a = 2, r = 3 and a = 2, r = 4 are studied, and the corresponding examples are constructed. Finally, the orthogonal interpolation multi-wavelets with a = 3, r = 4 is constructed by the Gram-Schmidt's orthogonalization and the example is given.关键词
正交多小波/插值性/平衡性/多尺度函数Key words
Orthogonal multi-wavelets/ interpolation/ balance/ multi-scaling function引用本文复制引用
王刚,周小辉..r重a尺度正交平衡插值多小波的设计[J].自动化学报,2012,38(12):1996-2004,9.基金项目
新疆维吾尔自治区高校科研计划青年教师培育基金(XJEDU2009S67)资助 （XJEDU2009S67）
