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基于提升格式的自适应预测小波变换算法
引用本文:高广春,赵胜颖,朱红丽,尚丽娜. 基于提升格式的自适应预测小波变换算法[J]. 电路与系统学报, 2010, 15(5)
作者姓名:高广春  赵胜颖  朱红丽  尚丽娜
作者单位:浙江大学,城市学院信息与电子工程系,浙江,杭州,310015
基金项目:杭州市重点实验室科技计划项目资助课题,浙江省教育厅科研项目资助课题 
摘    要:基于提升格式的小波变换被称为第二代小波变换,该种结构提供了一种灵活构造非线性小波分解和精确重构的方法。本文根据提升格式的小波变换结构,针对具有突变点的光滑信号,以LeGall5/3小波为例,提出了一种不需要额外附加信息和存储空间就可完成精确重构的自适应预测算法。实验结果表明,该算法应用于分段连续信的一维信号,可较大概率取得零高频系数,获得较好的线性近似结果。

关 键 词:提升格式  自适应小波变换  分段连续信号

Adaptive prediction wavelet transform algorithms based on lifting scheme
GAO Guang-chun,ZHAO Shen-ying,ZHU Hong-li,Shang Li-na. Adaptive prediction wavelet transform algorithms based on lifting scheme[J]. Journal of Circuits and Systems, 2010, 15(5)
Authors:GAO Guang-chun  ZHAO Shen-ying  ZHU Hong-li  Shang Li-na
Affiliation:GAO Guang-chun,ZHAO Shen-ying,ZHU Hong-li,Shang Li-na ( Department of Information Science , Electronic Engineering,Zhejiang University City College,Hangzhou 310015,China )
Abstract:Wavelet transforms via lifting scheme are called the second-generation wavelet transforms. This scheme provides a general and an adaptive flexible tool for the construction of wavelet decompositions and perfect reconstruction filter banks. In this paper, according to the structure of the lifting wavelet transforms, taking the case of LeGall 5/3 wavelet , we propose an adaptive version of this scheme which allows perfect reconstruction without any overhead cost for the smooth signals with the jumps. Simulati...
Keywords:Lifting scheme  adaptive Wavelet transform  piecewise continuous signals  
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