Title :
Huffman Redundancy for Large Alphabet Sources
Author :
Narimani, H. ; Khosravifard, Mohammadali
Author_Institution :
Dept. of Electr. & Comput. Eng., Isfahan Univ. of Technol., Isfahan, Iran
Abstract :
The performance of optimal prefix-free encoding for memoryless sources with a large alphabet size is studied. It is shown that the redundancy of the Huffman code for almost all sources with a large alphabet size n is very close to that of the average distribution of the monotone sources with n symbols. This value lies between 0.02873 and 0.02877 bit for sufficiently large n.
Keywords :
Huffman codes; redundancy; source coding; Huffman code; Huffman redundancy; average distribution; large alphabet sources; memoryless sources; monotone sources; optimal prefix-free encoding; Channel coding; Histograms; Huffman coding; Random variables; Redundancy; Vectors; Huffman redundancy; average monotone source; memoryless source; monotone source;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2294832