M-通道分解综合系统新框架及其信号的最佳对称延拓策略

Framework of M-channel Systems and the Best Symmetric Extension

在利用小波变换进行图象压缩时 ,需对图象进行边界处理以减小边界误差。一个行之有效的边界处理方法是对称延拓 ,存在许多不同的对称延拓。笔者提出了最佳对称延拓的概念 ,给出了求最佳对称延拓的算法 ,并用该算法得出了一般的M -通道分解综合系统中各环节的最佳延拓和加窗方案。

In image compression based on wavelet transform, the borders of images have to be processed in advance so as to reduce the distortions around the borders. An efficient way for this problem is symmetric extension. There are different types of symmetric extension methods. The paper presents the best symmetric extension and gives a design algorithm. Using the algorithm, we obtain the scheme of extending and windowing the signals in general best M-channel analysis/synthesis system.