| 中心对称仿酉矩阵的构造及二元具有线性相位正交小波滤波器组的参数化 |
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| 引用本文： | 李林杉,胡琳,史凤丽.中心对称仿酉矩阵的构造及二元具有线性相位正交小波滤波器组的参数化[J].计算数学,2014,36(3):309-315. |
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| 作者姓名： | 李林杉 胡琳 史凤丽 |
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| 作者单位： | 北京联合大学基础部, 北京 100101 |
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| 基金项目： | 北京市自然科学基金项目资助(1122016);北京联合大学新起点项目(ZK201311,ZK201308) |
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| 摘 要： | 中心对称仿酉矩阵(简记为CSPM)在线性相位的小波滤波器组的构造中起着重要的作用,本文给出偶数阶CSPM的表达式,矩阵中的元素为二元一次多项式.基于已给出的CSPM,给出具有线性相位的二元正交小波滤波器组的参数化,通过选取不同的参数可以得到的具有线性相位的正交小波滤波器组.最后给出算例.
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| 关 键 词： | 滤波器组 小波 中心对称的仿酉矩阵 |
| 收稿时间： | 2013-09-03; |
CONSTRUCTION OF CENTRAL-SYMMETRIC PARAUNITARYMATRIX AND PARAMETRIZATION OF BIVARIATEORTHOGONAL WAVELET FILTER BANKSWITH LINEAR PHASE |
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| Li Linshan,Hu Lin,Shi Fengli.CONSTRUCTION OF CENTRAL-SYMMETRIC PARAUNITARYMATRIX AND PARAMETRIZATION OF BIVARIATEORTHOGONAL WAVELET FILTER BANKSWITH LINEAR PHASE[J].Mathematica Numerica Sinica,2014,36(3):309-315. |
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| Authors: | Li Linshan Hu Lin Shi Fengli |
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| Institution: | Department of Basic Course, Beijing Union University, Beijing, 100101, China |
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| Abstract: | Central-symmetric paraunitary matrix (CSPM for short) play a very important role in construction of wavelet filter banks with linear phase, In this paper, we give the expression of CSPM with even order, and the components in the matrix are two variables one order polynomials. Based on the constructed CSPM and Parametrization of bivariate of orthogonal wavelet filter banks with linear phase is given, By selecting different parameters, we can obtain different wavelet filter banks and one example is also given. |
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| Keywords: | filter banks wavelet central-symmetric paraunitary matrix |
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