General algorithm for the derivation of transfer functions of multidimensional (M-D) discrete systems

Author

Xiao, Yang ; Song, Ming-yan

Author_Institution

Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China

Volume

1

fYear

2000

fDate

2000

Firstpage

147

Abstract

A general algorithm to derive the transfer functions of M-D discrete systems has been presented. The given M-D discrete system with arbitrary order and arbitrary topology structure can be analyzed. We construct the algorithm by nodal equations, M-D DFT, M-D signal flow graph. Resorting to the algorithm, we develop computer aided analysis software for deriving the transfer function of a M-D discrete system. An example for analyzing a 2-D lattice digital filter shows our algorithm to be valid

Keywords

circuit analysis computing; discrete Fourier transforms; discrete systems; lattice filters; multidimensional digital filters; network synthesis; network topology; signal flow graphs; transfer functions; 2D lattice digital filter; computer aided analysis software; general algorithm; multidimensional DFT; multidimensional discrete systems; multidimensional signal flow graph; nodal equations; system topology structure; transfer functions; Algorithm design and analysis; Delay; Digital filters; Equations; Flow graphs; Lattices; Matrix decomposition; Multidimensional systems; Topology; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Proceedings, 2000. WCCC-ICSP 2000. 5th International Conference on

Conference_Location

Beijing

Print_ISBN

0-7803-5747-7

Type

conf

DOI

10.1109/ICOSP.2000.894463

Filename

894463