Title :
On the regularity of multidimensional nonseparable cascade filterbanks
Author_Institution :
Sch. of Inf. Technol. & Eng., George Mason Univ., Fairfax, VA, USA
Abstract :
This paper shows the relation of zeros of lower and higher dimensional filters based on the definition of regularity conditions for cascade structures. The relation is used to construct multidimensional regular filters. Two illustrative examples are also included.
Keywords :
cascade networks; channel bank filters; matrix algebra; multidimensional digital filters; poles and zeros; signal reconstruction; signal sampling; cascade structures; filterbanks regularity; higher dimensional filters; lower dimensional filters; multidimensional cascade filters; multidimensional nonseparable cascade filterbanks; multidimensional perfect reconstruction filterbanks; multidimensional sampling; regularity conditions; sampling matrices; zeros; Channel bank filters; Continuous wavelet transforms; Filter bank; Filtering theory; Information technology; Lattices; Multidimensional systems; Sampling methods; Signal synthesis; USA Councils;
Conference_Titel :
Africon Conference in Africa, 2002. IEEE AFRICON. 6th
Print_ISBN :
0-7803-7570-X
DOI :
10.1109/AFRCON.2002.1146853
