Title :
Approximate moments and regularity of efficiently implemented orthogonal wavelet transforms
Author :
Götze, J. ; Odegard, J.E. ; Rieder, P. ; Burrus, C.S.
Author_Institution :
Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA
Abstract :
An efficient implementation of orthogonal wavelet transforms is obtained by approximating the rotation angles of the orthonormal rotations used in a lattice implementation of the filters. This approximation preserves the orthonormality of the transform exactly but leads to non-vanishing moments (except of the zeroth moment). The regularity of these wavelets is analysed by exploiting their finite scale regularity, i.e. “smoothness” only up to a certain finite scale. This finite scale regularity is also related to classical filter banks
Keywords :
filtering theory; lattice filters; wavelet transforms; approximate moments; classical filter banks; finite scale regularity; lattice implementation; nonvanishing moments; orthogonal wavelet transforms; rotation angles; smoothness; Circuit synthesis; Computer networks; Continuous wavelet transforms; Design engineering; Discrete wavelet transforms; Filtering theory; Filters; Lattices; Wavelet domain; Wavelet transforms;
Conference_Titel :
Circuits and Systems, 1996. ISCAS '96., Connecting the World., 1996 IEEE International Symposium on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3073-0
DOI :
10.1109/ISCAS.1996.541732
