Title :
New results on multidimensional filter banks and wavelets
Author :
Kovacevic, Jelena ; Vetterli, Martin
Author_Institution :
AT&T Bell, Murray Hill, NJ, USA
Abstract :
New results on multidimensional filter banks and wavelets are presented. Emphasis is placed on the two-dimensional case with sampling by 2 in each dimension. It is shown how, by using an appropriate cascade structure, nonseparable filters being both orthogonal and linear phase can be obtained, a construction not possible when one-dimensional systems are used separately. The condition for having at least one zero of the lowpass filter at all aliasing frequencies (necessary for convergence) is given. A first design example of two-dimensional orthonormal wavelets with symmetries is presented, together with a demonstration of continuity
Keywords :
cascade networks; delay circuits; filtering theory; low-pass filters; multidimensional digital filters; poles and zeros; wavelet transforms; 2D orthonormal wavelets; cascade structure; continuity; convergence; linear phase; lowpass filter; multidimensional filter banks; nonseparable filters; orthogonal type; symmetries; wavelets; Channel bank filters; Filter bank; Filtering; Finite impulse response filter; Image coding; Image sampling; Lattices; Multidimensional systems; Nonlinear filters; Sampling methods;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.393669
