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小波变换Mallat算法实现中的边界延拓研究
引用本文:吕新华,武斌,攸阳,丁飞. 小波变换Mallat算法实现中的边界延拓研究[J]. 天津理工大学学报, 2006, 22(2): 14-17
作者姓名:吕新华  武斌  攸阳  丁飞
作者单位:1. 海军工程大学,电子工程学院,武汉,430033
2. 海军91917部队,北京,102401
摘    要:
在Mallat算法[1]的推导中,假定输入序列是无限长的,而实际应用中常常是分时采样,即输入序列为有限长.此时,滤波器系数与输入序列卷积时就会出现轮空的现象.因此有必要对原始信号进行边界延拓,减小边界误差.解决的方法通常有补零法和周期延拓法[2].补零法是在输入序列的末尾补零

关 键 词:小波变换  Mallat算法  边界延拓
文章编号:1673-095X(2006)02-0014-04
收稿时间:2005-10-26
修稿时间:2005-10-26

Border extension in the implementation of Mallat Algorithm
LV Xin-hua,WU Bin,YOU Yang,DING Fei. Border extension in the implementation of Mallat Algorithm[J]. Journal of Tianjin University of Technology, 2006, 22(2): 14-17
Authors:LV Xin-hua  WU Bin  YOU Yang  DING Fei
Affiliation:1. College of Electronic Engineering,Naval University of Engineering, Wuhan 430033, China; 2. Naval Unit No.91917,Beijing 102401, China
Abstract:
Based on the analysis of the formulas of Mallat Algorithm, we can see the necessity of border extension in the implementation of Mallat Algorithm. General implementing method of wavelet transform of one dimension signal is introduced in details which is suitable to different border extension method. By computer simulations, results of wavelet transform have been presented in three different border extension ways.
Keywords:wavelet transform   Mallat Algorithm   border extension
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