信号的多通道多分辨分解

M-Channel Multiresolution Signal Decomposition

  • 摘要: 小波变换是近年来兴起的一种时频域信号分析理论,是信号分析处理的一种强有力的新工具。文中根据小波变换的特点,在Malat"二通道"多分辨分析的基础上,讨论分析了信号的多通道多分辨分析的理论和实现算法。给出了实验模拟结果,实验结果表明这一理论和方法对信号的处理分析是非常有用的。

     

    Abstract: Wavelet transform,especially the multiresolution representation is a very effective tool for analyzing the information contents of a signal.Based on Mallat's multiresolution analysis,this paper discuses the theoretical analysis of M-channel multiresolution signal decomposition,proposes a new algorithm for realizing the theory,studies the properties of an operator which approximates a signal at a given resolution,and describes experimental results.The results shows that the signals can be decomposed and reconstructed by M-channel multiresolution representation.The algorithm is proved to be simple,reliable and very useful for signal processing.

     

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