Three-rules set of one dimensional cellular automata with two states and three neighbors improves description ability
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In the present paper, we investigate the description ability of digital sound data by the rule set of one dimensional cellular automata with two state and three neighbors referred to as 1-2-3 CA hereafter. It has been shown that the two-rules set of (#90, #180) has the highest description ability of all the possible two-rules sets. For several sound data, however, the data amount of the resultant codes becomes larger than original data, originating into the limitations of the two-rules set of (#90, #180). In order to overcome the limitations, we try to improve the description ability of digital sound data by adding another rule to (#90, #180). Therefore, we evaluate the description ability for the all the possible sets, where we add another rule to (#90, #180). From computer experiments, for the three-rules set of (#45, #90, #180), the averaged length of the rule sequences of the resultant codes becomes shorter, and a ratio of the reduced search number takes larger for all the data. Thus, we succeed to improve the description ability.
- Nonlinear Theory and Its Applications, IEICE
Nonlinear Theory and Its Applications, IEICE 6(4), 534-541, 2015
The Institute of Electronics, Information and Communication Engineers