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| 正交共轭滤波器的构造 | |
| 引用本文： | 冷劲松,程正兴,杨守志,黄廷祝.正交共轭滤波器的构造[J].计算数学,2004,26(2):151-160. |
| 作者姓名： | 冷劲松 程正兴 杨守志 黄廷祝 |
| 作者单位： | 1. 西安交通大学理学院,西安,710049；电子科技大学应用数学学院,成都,610054 2. 西安交通大学理学院，西安，710049 3. 电子科技大学应用数学学院,成都,610054 |
| 摘 要： | It is very importent for generating an orthonormal multiwavelet system to construct a conjugate quadrature filter(CQF). In this paper, a general method of deriving a length-L 1 conjugate quadrature filter from a length-L conjugate quadrature filter and vice versa is obtained. As a special case, we study generally the construction of any length-L 1 compactly supported symmetric-antisymmetric orthonormal multiwavelet system with multiplicity 2 from a length-L multiwavelet system and vice versa. Examples of conjugate quadrature filter are given. |
| 关 键 词： | 正交共轭滤波器 构造 多分辨分析 紧支撑函数 |
CONSTRUCTION OF CONJUGATE QUADRATURE FILTER |
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| Leng Jinsong.CONSTRUCTION OF CONJUGATE QUADRATURE FILTER[J].Mathematica Numerica Sinica,2004,26(2):151-160. | |
| Authors: | Leng Jinsong |
| Institution: | Leng Jinsong (Dept. of Math. Xi'an Jiaotong University, Xi'an, 710049; Faculty of Appl. Math., University of Electronic of Science and Technology, Chengdu, 610054) Cheng Zhengxing Yang Shouzhi (Dept. of Math. Xi'an Jiaotong University, Xi'an, 710049) Huang Tingzhu (Faculty of Appl. Math., University of Electronic of Science and Technology, Chengdu, 610054) |
| Abstract: | It is very importent for generating an orthonormal multiwavelet system to construct a conjugate quadrature filter(CQF). In this paper, a general method of deriving a length-L + 1 conjugate quadrature filter from a length-L conjugate quadrature filter and vice versa is obtained. As a special case, we study generally the construction of any length-L + 1 compactly supported symmetric-antisymmetric orthonormal multiwavelet system with multiplicity 2 from a length-L multiwavelet system and vice versa. Examples of conjugate quadrature filter are given. |
| Keywords: | Multiresolution analysis Lowpass filter Highpass filter Conjugate quadrature filter Compactly supported function Orthonor- mal scaling function Symmetric-antisymmetric orthonormal mul- tiwavelet system |
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