Comparison of the Uniform and Non-Uniform Cellular Automata-Based Approach to the Development of Combinational Circuits

Comparison of the Uniform and Non-Uniform Cellular Automata-Based Approach to the Development of Combinational Circuits

Paper in proceedings outside WoS and Scopus

Cellular automata-based model has been shown as a
useful developmental model in the evolutionary design of
digital circuits at the gate level. Uniform one-dimensional
cellular automata have been successfully applied to the circuit
design task so far. Moreover, the initial experiments
performed during our previous research have demonstrated
the possibility of applying non-uniform cellular automata
to the circuits design which is the main objective of the proposed
paper. We will investigate this approach considering
several classes of combinational circuits, provide an analysis
of the obtained results and their comparison with the
results of the uniform cellular automata-based model. It
will be shown that evolution is able to find (in general a different)
local transition function for each cell of the automaton
according to which the target circuit is developed. Two
different case studies will be presented in order to demonstrate
the abilities of the proposed method. The first case
study deals with the development of combinational multipliers
and the second one is intended to develop combinational
dividers. The obtained experimental results will be
compared to our previous approach in which uniform cellular
automata were applied. The proposed non-uniform approach
enables to design circuits that we were not able to
develop successfully using the uniform cellular automata.

Cellular automata-based model has been shown as a
useful developmental model in the evolutionary design of
digital circuits at the gate level. Uniform one-dimensional
cellular automata have been successfully applied to the circuit
design task so far. Moreover, the initial experiments
performed during our previous research have demonstrated
the possibility of applying non-uniform cellular automata
to the circuits design which is the main objective of the proposed
paper. We will investigate this approach considering
several classes of combinational circuits, provide an analysis
of the obtained results and their comparison with the
results of the uniform cellular automata-based model. It
will be shown that evolution is able to find (in general a different)
local transition function for each cell of the automaton
according to which the target circuit is developed. Two
different case studies will be presented in order to demonstrate
the abilities of the proposed method. The first case
study deals with the development of combinational multipliers
and the second one is intended to develop combinational
dividers. The obtained experimental results will be
compared to our previous approach in which uniform cellular
automata were applied. The proposed non-uniform approach
enables to design circuits that we were not able to
develop successfully using the uniform cellular automata.

Genetic algorithm, development, uniform cellular automaton, non-uniform cellular automaton, combinational circuit.

Genetic algorithm, development, uniform cellular automaton, non-uniform cellular automaton, combinational circuit.

BIDLO, M.; VAŠÍČEK, Z.

2010

29.07.2009

IEEE Computer Society

Los Alamitos

978-0-7695-3714-6

Proceedings 2009 NASA/ESA Conference on Adaptive Hardware and Systems

423

430

8

http://www.fit.vutbr.cz/~bidlom/Papers/2009/ahs2009.pdf