| 多频率小波 |
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| 引用本文： | 石智,宋国乡.多频率小波[J].纯粹数学与应用数学,2003,19(1):94-98. |
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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： | 国防预研基金，W000T4， |
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| 摘 要： | 通过方向多分辨分析把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，给出由函数φ1,…，φn，…ψn(2^j1 ^j2-1)的平移生成Vj(1)空间的Riesz基的充分必要条件，同时给出该小波的分解式。
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| 关 键 词： | 方向多分辨分析 小波基 |
Multi-frequency wavelets |
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| Abstract.Multi-frequency wavelets[J].Pure and Applied Mathematics,2003,19(1):94-98. |
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| Authors: | Abstract |
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| Abstract: | Multi-frequency wavelets,via directional multi-resolution analysis,generated by a single function is extended to wavelets generated by a finite number of functions.Necessary and sufficient conditions for translates of φ1,…,φn,ψ1,……,ψn(2j1+j2-1)form a Riesz basis for Vj(1) are derived.The decomposition of wavelets generated by a finite number of functions is given. |
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| Keywords: | directional multi-resolution analysis wavelets |
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