Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:A2L-B
Session:
Number:A2L-B6
Description Ability of Sound with Three-Rules Set of One Dimensional Cellular Automata with Two States and Three Neighbors
Rika Terai, Jousuke Kuroiwa, Tomohiro Odaka, Izumi Suwa, Haruhiko Shirai,
pp.136-139
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
In this paper, we investigate a description ability of three-rules sets in one dimensional cellular automata with two states and three neighbors (referred as the 1-2-3 CA hereafter), in describing digital sound with a rule set of 1-2-3 CA. We have shown that the rule set of (#90, #180) gives the highest description ability of all the two-rules sets. As the number of elements of the rule set increases, the possible states of 1-2-3 CA derived from the rule set increase, suggesting that the description ability could be improved. We employ the rule sets of (#90, #165, #180) and (#75, #90, #180), where #165 and #75 are equivalent with #90 and #180, respectively, under the Left- Right complementation. From computer experiments, the three-rules set of (#90, #165, #180) gives a higher description ability than the rule set of (#90, #180) and (#75, #90, #180). Therefore, three-rules sets is more appropriate in describing digital sound without reproducing errors than two-rules sets.