M-Channel Multiresolution Signal Decomposition

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.