Title :
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
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;
Conference_Titel :
Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003 10th IEEE International Conference on
Print_ISBN :
0-7803-8163-7
DOI :
10.1109/ICECS.2003.1302002
