IJPAM: Volume 96, No. 3 (2014)

CONTRIBUTION OF CHANNEL EQUIVOCATION
FOR THE DEVELOPMENT OF SOURCE CODING THEOREMS

Om Parkash$^1$, Priyanka Kakkar$^2$
$^{1,2}$Department of Mathematics
Guru Nanak Dev University
Amritsar, 143005, INDIA


Abstract. The present communication deals with the development of new coding theorems in terms of channel equivocation, that is, coding is done for a source which selects a new set of source statistics after each output symbol is received from the channel. New proof for Fano's bound on Shannon's equivocation is provided by using log sum inequality. Moreover, bounds on various generalizations of Shannon's equivocation have been provided.

Received: March 5, 2014

AMS Subject Classification: 94A24, 94A15, 94A29

Key Words and Phrases: entropy, source coding, uniquely decipherable code, instantaneous code, Kraft's Inequality, equivocation, Jensen's inequality, Log Sum inequality

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DOI: 10.12732/ijpam.v96i3.2 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 3
Pages: 307 - 322


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