| 一维参数化正交小波滤波器的解析性质与优化逼近 |
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| 引用本文： | 粟塔山,吴翊.一维参数化正交小波滤波器的解析性质与优化逼近[J].计算数学,2006,28(4):377-400. |
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| 作者姓名： | 粟塔山 吴翊 |
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| 作者单位： | 国防科技大学理学院,长沙,410073 |
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| 摘 要： | 本文给出了一维参数化正交小波滤波器系数向量的解析表达式和它的递推计算公式,还给出了它的一阶变分及二阶变分公式．利用这些结果和最优化方法,给出了FIR正交小波滤波器的逼近和设计问题的优化模型和数值例子．
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| 关 键 词： | 参数化FIR正交小波滤波器 最优化计算 |
| 收稿时间： | 2005-03-23 |
| 修稿时间： | 2005-03-23 |
THE ANALYSIS PROPERTY AND DESIGN OF OPTIMUM FORMULATED ONE-DIMENSION FINITE WAVELETE FILTERS |
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| Su Tashan,Wu Yi.THE ANALYSIS PROPERTY AND DESIGN OF OPTIMUM FORMULATED ONE-DIMENSION FINITE WAVELETE FILTERS[J].Mathematica Numerica Sinica,2006,28(4):377-400. |
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| Authors: | Su Tashan Wu Yi |
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| Institution: | Department of Applied Mathematics National University of Defense Technology, Changsha 410073, China |
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| Abstract: | In this paper, we give out the formulation to compute the coefficients of FIR orthogonal wavelet filter and their one-two order derivatives. Some optimum model for filter approximation and correlative numerical examples are present. |
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| Keywords: | formulated one-dimension finite wavelete filters optimization |
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