Binary and multi-valued cellular array models of linear distributed parameter systems

Author

Hamano, Daisuke ; Tabuki, Nobuhiro ; Fujisaka, Hisato ; Morisue, Mititada

Author_Institution

Fac. of Inf. Sci., Hiroshima Univ., Japan

Volume

1

fYear

2003

fDate

14-17 Dec. 2003

Firstpage

164

Abstract

Cellular array models of linear distributed parameter systems are proposed. One of the arrays is a discrete model of diffusion systems. The cells have one-bit variables ∈{1, -1} and change their values according to a pseudo-random walker rule. Another cellular array is a one-dimensional discrete wave propagation system. The array makes unidirectional waves with spatially distributed three-level variables ∈{1, 0, -1}. Numerical experiment shows that the temporally or spatially averaged behavior of these cellular arrays coincides with the solutions of original diffusion and wave equations within 2.2% of error.

Keywords

cellular automata; diffusion; distributed parameter networks; distributed parameter systems; lattice theory; modelling; partial differential equations; random processes; wave propagation; bandpass filter; binary cellular array models; diffusion systems; digital filtering; digital simulation; discrete model; linear distributed parameter systems; lowpass filter; massively parallel processors; merged conditions; multivalued cellular array models; one-dimensional wave propagation system; partial differential equations; random walk; spatially distributed three-level variables; unidirectional waves; Concurrent computing; Diffusion processes; Digital filters; Distributed parameter systems; Hardware; Information science; Lattice Boltzmann methods; Legged locomotion; Partial differential equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003 10th IEEE International Conference on

Print_ISBN

0-7803-8163-7

Type

conf

DOI

10.1109/ICECS.2003.1302002

Filename

1302002