A New Generalized Entropy Measure and its Properties
Keywords:Information, Shannonâ€™s Entropy, Coding theory, Prefix Code, Average code-word Length, Kraftâ€™s Inequality, Holderâ€™s Inequality, Shannon Fanno Codes and Noiseless Coding theorem.
Â In this research article, a new two parametric measure of Entropy Â and its corresponding code word length Â has been developed. The developed measures are the generalizations to some well known existing measures. Besides, some noiseless coding theorems for discrete noiseless channel have been developed, and the results thus obtained have been verified with the support of an numerical example. Also, at the end of this research article, a comparative study in terms of Â monotonic behavior Â among the proposed entropy Â , Matahiâ€™s entropy Â and Tsallis entropy Â together Â with their respective average code word length measures have been made and graphically displayed.
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