论文部分内容阅读
It is focused on the orthogonal M-band wavelet approximation power for band-limited signals and on the quantitative analysis of the approximation behavior of scaling filters and scaling function frequency response near zero. A sharp upper bound of the approximation errors in multiresolution subspaces is obtained for band-limited signals. With this bound one may select better wavelet base and corresponding smaller scale factor to satisfy the given measure of the approximation error. Finally, the experiments of 2-band Daubechies wavelet bases show that signals with the normalized energy and bandwidth almost belong to %V-2% spanned by %D%-8 with the satisfactory error measure.
It is focused on the orthogonal M-band wavelet approximation power for band-limited signals and on the quantitative analysis of the approximation behavior of scaling filters and scaling function frequency response near zero. A sharp upper bound of the approximation errors in multiresolution subspaces is for band-limited signals. With this bound one may select better wavelet base and corresponding smaller scale factor to satisfy the given measure of the approximation error. Finally, the experiments of 2-band Daubechies wavelet bases show that signals with the normalized energy and bandwidth almost belong to % V - 2 % spanned by % D % - 8 with the satisfactory error measure.