In this paper

based on the Lifting Scheme algorithms of the wavelet transforms with the compactly supported biorthogonal filters

the operator matrices of the forward wavelet transforms and the associated inverse wavelet transforms are constructed. These matrices are the inversive constant ones and have the size as the same as the length of the signal. These operator matrices are very convenient tools to analyze the properties of the biorthogonal wavelet filters in a theoretical way. These operator matrices can also be used for analysis the performance of the biorthogonal wavelet filters in different applications. In this paper

by these matrices

the de correlation performance of several biorthogonal wavelet filters in data compression application is studied in a view of theoretical analysis. The qualified quantities are given in comparison with other popular orthogonal transforms such as DCT and DFT. Experimental results demonstrate that different wavelet filters have different performance in the data compression applications. In the case of the high compression ratio

(9

7) filter has the better performance while in the case of the moderate compression ratio

(5

3) filter has the better performance.