Tight bounds on the AUH codes

In this paper we consider the class of anti-uniform Huffman codes and derive tight lower and upper hounds on the average length, entropy, and redundancy of such codes in terms of the alphabet size of the source. Also an upper bound on the entropy of AUH codes is also presented in terms of the average cost of the code. The Fibonacci distributions are introduced which play a fundamental role in AUH codes. It is shown that such distributions maximize the average length and the entropy of the code for a given alphabet size. Another previously known bound on the entropy for given average length follows immediately from our results.


Published in:
2008 42Nd Annual Conference On Information Sciences And Systems, Vols 1-3, 1010-1014
Presented at:
42nd Annual Conference on Information Sciences and Systems, Princeton, NJ, Mar 19-21, 2008
Year:
2008
Publisher:
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-03-17


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