THE VECTOR-SPACE ALGORITHM OF ORTHONORMALWAVELET TRANSFORM
正交小波变换的向量空间算法

In this paper it is revealed that not only the wavelet can constitute an orthonormal basis for L2(R), but also its decomposition and reconstruction filters {hn}, {gn} can generate an orthonormal basis for RN. By using the modified algorithm of wavelet transform suggested in the paper, it is shown that a wavelet transform of signals with N samples is equivalent to an ortlionormal transfrom in RN. Then the signal or picture compression based on the wavelet transform can be completly operated in RN without the help of the periodic extension of signal or picture.