In this paper, we introduce the concepts of generalized Hilbert space and multichannel multiresolution analysis(MMRA) for L~2(R)~n, and discuss some important properties of them.

Linear prediction based on wavelet multiresolution analysis;

Image recognition based on moment and multiresolution analysis;

Eigenvalue problem of an integral equation and multiresolution analysis;

Deriving gas hold-up values from pressure signals in slurry beds by multi-resolution analysis method;

A simplified split-merge image segmentation method based on multi-resolution analysis;

The jump omen extraction method of fault signal based on multi-resolution analysis;

Mallat fast decomposition algorithm based on multi resolution analysis is introduced.

The continuous wavelet transform definition, multi resolution analysis and Mallat fast decomposition algorithm are introduced.

This paper presents a unified framework of signal using polynomial spline basis functions and wavelets, and gives some special cases of spline functions and wavelets, and deduces the fast analysis/synthesis pyramid algorithm on the basis of multi resolution analysis of L 2 .

To increase the accuracy of the short-term power load forecasting,in this paper,the wavelet transform(WT) based on Multi-resolution Analysis(MRA) is applied to decompose short-term power load sequence into wavelet component.

Using Mallat algorithm on the basis of wavelet transform and multiresolution analysis(MRA) in connection with traditional FFT,a new speech signal fundamental frequency detection method is presented.

In the paper,the low-frequency information which reflects the trend of stock price change is extracted using wavelet MRA and the Mallat method,and the time of stockjobbing is analyzed.