ANALYSIS OF ORTHOGONAL M-BAND WAVELET APPROXIMATION POWER

It is focused on the orthogonal M-band wavelet approximation power for band-limited signals and on the quantitative analysis of the approxim ation behavior of scaling filters and scaling function frequency respo nse near zero. A sharp upper bound of the approximation errors in mult iresolution subspaces is obtained for band-limited signals. With this bound one may select better wavelet base and corresponding smaller sca le factor to satisfy the given measure of the approximation error. Fin ally, the experiments of 2-band Daubechies wavelet bases show that sig nals with the normalized energy and bandwidth almost belong to V-2 spa nned by D-8 with the satisfactory error measure.