One-dimensional Cellular Automata (CA's) are considered as potential pseudorandom pattern generators to generate highly random parallel patterns with simple hardware configurations. A class of linear, binary, and of nearest neighbor (radius = 1) CA's is referred to here as elementary ones. This paper investigates operations of such CA's with fixed boundary conditions when non-null boundary values are applied to them. By modifying transition matrices of elementary CA's to include the influence of boundary values, structures of state transition diagrams are determined.
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Poh Yong KOH, Kiyoshi FURUYA, "State Diagrams of Elementary Cellular Automata with Arbitrary Boundary Conditions" in IEICE TRANSACTIONS on Information,
vol. E81-D, no. 7, pp. 753-758, July 1998, doi: .
Abstract: One-dimensional Cellular Automata (CA's) are considered as potential pseudorandom pattern generators to generate highly random parallel patterns with simple hardware configurations. A class of linear, binary, and of nearest neighbor (radius = 1) CA's is referred to here as elementary ones. This paper investigates operations of such CA's with fixed boundary conditions when non-null boundary values are applied to them. By modifying transition matrices of elementary CA's to include the influence of boundary values, structures of state transition diagrams are determined.
URL: https://global.ieice.org/en_transactions/information/10.1587/e81-d_7_753/_p
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@ARTICLE{e81-d_7_753,
author={Poh Yong KOH, Kiyoshi FURUYA, },
journal={IEICE TRANSACTIONS on Information},
title={State Diagrams of Elementary Cellular Automata with Arbitrary Boundary Conditions},
year={1998},
volume={E81-D},
number={7},
pages={753-758},
abstract={One-dimensional Cellular Automata (CA's) are considered as potential pseudorandom pattern generators to generate highly random parallel patterns with simple hardware configurations. A class of linear, binary, and of nearest neighbor (radius = 1) CA's is referred to here as elementary ones. This paper investigates operations of such CA's with fixed boundary conditions when non-null boundary values are applied to them. By modifying transition matrices of elementary CA's to include the influence of boundary values, structures of state transition diagrams are determined.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - State Diagrams of Elementary Cellular Automata with Arbitrary Boundary Conditions
T2 - IEICE TRANSACTIONS on Information
SP - 753
EP - 758
AU - Poh Yong KOH
AU - Kiyoshi FURUYA
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E81-D
IS - 7
JA - IEICE TRANSACTIONS on Information
Y1 - July 1998
AB - One-dimensional Cellular Automata (CA's) are considered as potential pseudorandom pattern generators to generate highly random parallel patterns with simple hardware configurations. A class of linear, binary, and of nearest neighbor (radius = 1) CA's is referred to here as elementary ones. This paper investigates operations of such CA's with fixed boundary conditions when non-null boundary values are applied to them. By modifying transition matrices of elementary CA's to include the influence of boundary values, structures of state transition diagrams are determined.
ER -