2-by-n hybrid cellular automata with regular configuration:: Theory and application

被引:28
作者
Cattell, K [1 ]
Zhang, SJ
Serra, M
Muzio, JC
机构
[1] Hewlett Packard Corp, Rohnert Pk, CA 94927 USA
[2] No Telecom Canada Ltd, NORTEL, Ottawa, ON, Canada
[3] Univ Victoria, Dept Comp Sci, Fac Engn, Victoria, BC, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
linear hybrid cellular automata; linear finite state machine; maximum length cycle; primitive polynomial;
D O I
10.1109/12.754995
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
This paper introduces a new class of two-dimensional linear cellular automata and derives a number of their properties. A recursive relation is proved which enables the characteristic polynomial to be efficiently calculated, and minimal cost, maximal length generators of this type are listed for sizes up to 500. A theoretical analysis of the two vector transition properties of the cellular automata is given and it is shown that, for testing sequential faults over a set of standard benchmarks, the two-dimensional cellular automata perform, on average, better than one-dimensional linear hybrid cellular automata, and much better than linear finite shift registers.
引用
收藏
页码:285 / 295
页数:11
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