Title :
Structures for multidimensional FIR perfect reconstruction filter banks
Author :
Tay, David B H ; Kingsbury, Nick G.
Author_Institution :
Dept. of Eng., Cambridge Univ., UK
Abstract :
Structures for maximally decimated multidimensional filter banks which achieve perfect reconstruction are presented. There are no restrictions on the sampling lattice or dimensions. These are polyphase structures that can be cascaded to give finite impulse response (FIR) analysis and synthesis filters. The authors briefly review some important concepts and results of multidimensional filter banks and establish some notation. Then they present structures based on matrices whose elements are shifts. There are certain constraints that are imposed on these matrices. Next, structures based on elementary matrices that are used to effect elementary row or column operations are presented. Some useful properties of these structures are discussed
Keywords :
filtering and prediction theory; matrix algebra; multidimensional digital filters; column operations; dimensions; finite impulse response analysis filters; finite impulse response synthesis filters; matrices; maximally decimated multidimensional filter banks; multidimensional FIR perfect reconstruction filter banks; polyphase structures; row operations; sampling lattice; Channel bank filters; Digital filters; Equations; Filter bank; Finite impulse response filter; IIR filters; Lattices; Multidimensional systems; Sampling methods; Signal synthesis;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on
Conference_Location :
San Francisco, CA
Print_ISBN :
0-7803-0532-9
DOI :
10.1109/ICASSP.1992.226316
