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| 二进小波的构造方法研究 | |
| 引用本文： | 吐尔洪江·阿布都克力木,阿布都许库热·阿布都克力木,张海英.二进小波的构造方法研究[J].纯粹数学与应用数学,2012(2):149-154. |
| 作者姓名： | 吐尔洪江·阿布都克力木 阿布都许库热·阿布都克力木 张海英 |
| 作者单位： | 1. 新疆师范大学数学科学学院,新疆乌鲁木齐830054 2. 新疆博乐市第七中学,新疆博乐833400 3. 新疆工业高等专科学校电气与信息工程系,新疆乌鲁木齐830091 |
| 基金项目： | 国家自然科学基金(10661010);新疆维吾尔自治区自然科学基金(200721104) |
| 摘 要： | 提出两种二进小波的构造方法.首先,将Mallat构造的B-样条二进小波推广得到一种构造B-样条二进小波的新方法;其次,基于二进提升方案提出构造二进小波的另一种新方法—–构造定理,并通过调整定理中提升参数的形式、以新的B-样条二进小波作为初始二进小波,具体构造了具有有限长单位脉冲响应、高阶消失矩、线性相位的提升二进小波,这些提升二进小波不能由Sweldens提升方案得到. |
| 关 键 词： | 二进提升方案 消失矩 二进小波滤波器 |
Study on new construction methods of dyadic wavelet filters |
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| Turghunjan Abdukirim,Abduxukur Abdukirim,Zhang Haiying.Study on new construction methods of dyadic wavelet filters[J].Pure and Applied Mathematics,2012(2):149-154. | |
| Authors: | Turghunjan Abdukirim Abduxukur Abdukirim Zhang Haiying |
| Institution: | 1. School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830054, China;2. Xinjiang Bortala No.7 High School, Bortala 833400, China;3. Electrical and Information Engineering Department, Xinjiang Ploytechnical College, Urumqi 830091, China) |
| Abstract: | In this paper, we study on two new construction methods of dyadic wavelet filters. One method is that new B-spline dyadic wavelet filters are obtained by generated B-spline dyadic wavelet filters proposed by Mallat. Other is that two theorems for constructing lifting dyadic wavelet filters with higher number of vanishing moments are proposed based on the dyadic lifting schemes. Meantime we design lifting dyadic wavelet filters with finite impulse response, higher number of vanishing moments and linear phase according to new B-spline dyadic wavelet filters .These lifting filters can not be obtained by Sweldens lifting scheme. |
| Keywords: | dyadic wavelets dyadic lifting scheme vanishing moments |
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