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The present communication offers a method to determine an unknown discrete probability distribution with specified Tsallis entropy close to uniform distribution. The relative error of the distribution obtained has been compared with the distribution obtained with the help of mathematica software. The applications of the proposed algorithm with respect to Tsallis source coding, Huffman coding and cross entropy optimization principles have been provided.

KEYWORDS

Entropy, Source Coding, Kraft’s Inequality, Huffman Code, Mean Codeword Length, Uniquely Decipherable Code

Cite this paper

Parkash, O. and Kakkar, P. 2015 An Algorithm to Generate Probabilities with Specified Entropy. Applied Mathematics, 6, 1968-1976. doi: 10.4236-am.2015.612174.





Author: Om Parkash, Priyanka Kakkar

Source: http://www.scirp.org/



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