| K正则M段子波基的构造 |
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| 引用本文： | 祁雷,阎敬文,岳振贵,孙辉.K正则M段子波基的构造[J].吉林大学学报(信息科学版),1997(1). |
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| 作者姓名： | 祁雷 阎敬文 岳振贵 孙辉 |
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| 作者单位： | 长春邮电学院通信工程系，中国科学院长春光机所 |
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| 摘 要： | 首先将产生最小长度为Ｋ的正则二波段Ｄａｕｂｅｃｈｉｅｓ子波推广到Ｍ段，该公式可应用到Ｋ正则Ｍ段标尺滤波器。其次对（Ｍ－１）段子波滤波和相对应的两个逼近进行描述，一个是用获得归一化子波滤波器的新技术进行逼近，另一个是使用因式分解逼近。最后给出构造产生Ｍ段归一化正交子波基的充分必要条件
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| 关 键 词： | 滤波器 因子分解 有限脉冲响应（FIR） 正交子波 |
A study of construction theory for K regular M band wavelet bases |
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| Qi Lei,Yan Jingwen,Yue Zhengui.A study of construction theory for K regular M band wavelet bases[J].Journal of Jilin University:Information Sci Ed,1997(1). |
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| Authors: | Qi Lei Yan Jingwen Yue Zhengui |
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| Abstract: | An extension of minimal length K regular 2 band wavelets of Daubechies to M band case is derived. It can be applied to construct K regular M band scaling filters. By a new technique for obtaining unitary wavelet filters and factorization, two approaches to the construction of (M -1) wavelet filters are described. A necessary and sufficient condition to generate M band basis is given in the end. |
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| Keywords: | Filter Factorization Finite impulse response(FIR) Orthonormal wavelet |
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