Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

A two-state, one-dimensional cellular automaton (1D CA) with uniform linear rules on an (r + 1)-neighborhood replicates any arbitrary binary image given as an initial configuration. By these linear rules, any cell gets updated by an EX-OR operation of the states of extreme (first and last) cells of its (r + 1)-neighborhood. These linear rules replicate the binary image in two ways on the 1D CA: one is without changing the position of the original binary image at time step t = 0 and the other is by changing the position of the original binary image at time step t = 0. Based on the two ways of replication, we have classified the linear rules into three types. In this paper, we have proven that the binary image of size m gets replicated exactly at time step 2 k of the uniform linear rules on the (r + 1)-neighborhood 1D CA, where k is the least positive integer satisfying the inequality m / r ≤ 2 k . We have also proved that there are exactly (r * 2 k -m) cells between the last cell of the binary image and the first cell of the replicated binary image (or the first cell of the binary image and the last cell of the replicated image). © 2018, Complex Systems Publications, Inc. All rights reserved.

Computer Science

School of Computer Science and Engineering

Chennai Campus

Complex Systems

Replication of a Binary Image on a One-Dimensional Cellular Automaton with Linear Rules

Traditional stock trading methodologies (ARMA, ARIMA, regression, etc.) are used to analyse price behaviour and then produce signals namely BUY, SELL or HOLD. Our proposed work is to develop a one-dimensional cellular automata model that helps new investors who have zero knowledge on stock market trades. The one-dimensional cellular automata (1D CA) model processes the existing recommendations or advices from the experts who possess a very good knowledge on stock market trades. Based on different expert recommendations, the CA model will give financial alerts that will help the investor to take buy/hold/sell decision on stocks. Hence new investors can either make a profit or at least keep them in safe zone (minimum loss). The trading rules in this model give highest priority to sell the share and lowest priority to buy the share. This model gives recommendations to investors regarding the selling, buying and holding of a stock/stock segment. Copyright © 2017 Inderscience Enterprises Ltd.