| 多频率多函数小波 |
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| 引用本文： | 石智,宋国乡. 多频率多函数小波[J]. 应用数学, 2003, 16(4): 89-95 |
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| 作者姓名： | 石智 宋国乡 |
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| 作者单位： | 西安电子科技大学理学院,陕西,西安,710071 |
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| 基金项目： | Supportedbynationaldefenceresearchfoundation(WOOOT4 5) |
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| 摘 要： | 本文把通过方向多分辨分析构造的由一个函数生成的多频率小波推广到由有限个函数生成的多频率小波，给出由n2j1 j2个函数φ1,…φn,ψ1,…ψn(2j1 j2-1)的平移生成Vj(l)空间的Riesz基的充分必要条件．
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| 关 键 词： | 频率 函数 小波 方向多分辨分析 Riesz基 级数 |
Multi-Frequency Multi-Functions Wavelet |
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| SHI Zhi,SONG Guoxiang. Multi-Frequency Multi-Functions Wavelet[J]. Mathematica Applicata, 2003, 16(4): 89-95 |
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| Authors: | SHI Zhi SONG Guoxiang |
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| Abstract: | In this paper, multi-frequency wavelets, via directional multi-resolution analysis, genera-ted by a single function is extended to wavelets generated by a finite number of functions. We derive necessary and sufficient conditions for translates ofφ1,…,φn,ψ1,…,ψn(2j1+j2-1)form a Riesz basis for Vj(1) , and some of the basic mathematical structures. |
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| Keywords: | Directional multiresolution analysis Wavelets |
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