• East Asian mathematical journal
• /
• v.31 no.1
• /
• pp.19-25
• /
• 2015

We investigate periodicities of some additive cellular automata with null boundary condition.

• Journal of applied mathematics & informatics
• /
• v.18 no.1_2
• /
• pp.287-300
• /
• 2005

In this paper, we analyze Pseudo-Noise (PN) sequences generated by a maximum-length 90/150 Null Boundary Cellular Automata and we give the relationship among minimum offsets.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.6 no.2
• /
• pp.53-62
• /
• 2002

In this paper we analyze the behavior of linear multiple attractor cellular automata having two-predecessors.

• Journal of information and communication convergence engineering
• /
• v.9 no.6
• /
• pp.689-694
• /
• 2011

Cellular automata are discrete dynamical systems, which provide the basis for the synthesis of complex emergent behavior. This paper proposes a new algorithm of digital watermarking based on cellular automata transform (CAT). The idea of two-dimensional CAT is introduced into the algorithm. After the original image is disassembled with 2D CAT, the watermark information is embedded into the Middle-frequency of the carrier picture. Cellular automata have a huge number of combinations, such as gateway values, rule numbers, initial configuration, boundary condition, etc. Using CAT, the robustness of the watermark will be tremendous strengthened as well as its imperceptibility. Experimental results show that this algorithm can resist some usual attacks such as compression, sharpening and so on. The proposed method is robust to different attacks and is more security.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2001.12a
• /
• pp.255-258
• /
• 2001

This paper is implementation of cellular automata neural network system which is a living creatures' brain using evolving hardware concept. Cellular automata neural network system is based on the development and the evolution, in other words, it is modeled on the ontogeny and phylogeny of natural living things. The proposed system developes each cell's state in neural network by CA. And it regards code of CA rule as individual of genetic algorithm, and evolved by genetic algorithm. In this paper we implement this system using evolving hardware concept Evolving hardware is reconfigurable hardware whose configuration is under the control of an evolutionary algorithm. We design genetic algorithm process for evolutionary algorithm and cells in cellular automata neural network for the construction of reconfigurable system. The effectiveness of the proposed system is verified by applying it to time-series prediction.

• Journal of Korea Multimedia Society
• /
• v.18 no.12
• /
• pp.1462-1467
• /
• 2015

Pixel values of original image can be changed by XORing pixel values of original image and pixel values of the basis image obtained by pseudo random sequences. This is a simple method for image encryption. This method is an effect method for easy hardware implementation and image encryption with high speed. In this paper we propose a method to obtain basis image with pseudo random sequences with large nonlinearity using nonlinear cellular automata and maximum length linear cellular automata. And experimental results showed that the proposed image encryption scheme has large key space and low correlation of adjacent cipher pixel values.

• Journal of the Chungcheong Mathematical Society
• /
• v.21 no.4
• /
• pp.447-454
• /
• 2008

In this short note, we will point out and modify some logical errors in literatures about the theory of cellular automata.

• Journal of Korea Multimedia Society
• /
• v.13 no.9
• /
• pp.1329-1336
• /
• 2010

Cellular Automata is a discrete dynamical system which natural phenomena may be specified completely in terms of local relation, can increase and decrease the difference of luminance locally according to transition rule by keeping the characteristic of target image. In this paper, we propose a noise reduction method by keeping the characteristic using transition rule of Cellular Automata, also we propose methods of effective transition rule, the selection of parameters, the selection of number of neighborhood pixels. For uniform distribution noise, Gaussian noise, impulse noise, we do an experiment on adaptive state using different mathematical operations and compare its results. It was confirmed that the proposed transition rule is based on fast convergence speed and has stabile results.

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.4
• /
• pp.553-563
• /
• 2016

We characterize periodicities of some characteristic matrices of cellular automata congured with rule 60 and intermediate boundary condition.

• Journal of the Chungcheong Mathematical Society
• /
• v.28 no.4
• /
• pp.545-551
• /
• 2015

We investigate periodicities of characteristic matrices of cellular automata configured with rule 60 and intermediate boundary condition.