小波变换的边界处理

BORDER PROCESSING IN WAVELET TRANSFORM

小波变换是一种十分有效的信号处理方法。对信号进行小波变换时，在许多应用中人们要求原始数据能够或尽可能精确恢复。边界处理对数据的精确恢复有着至关重要的影响。本文给出小波变换中边界处理的两种一般方法，并从理论上证明用该方法可以保证数据的精确恢复，最后的实验结果也证实了这一结论。

Wavelet Transform(WT)Is a very efficient signal processing method.In WT,often one requires original data Exact Reconstruction(ER) in many applications.Border-Processing has an essential effect on the ER.This paper provides two general border-precessing methods in WT,and proves that original data can be exactly reconstructed by using these methods.The experiment results also verify above conclusion.