Tunstall Parse Trees Optimum under Various Criteria

作者: Ferdinando Cicalese , Luisa Gargano , Ugo Vaccaro

DOI: 10.1109/ISIT.2007.4557207

关键词:

摘要: The well known Tunstall algorithm for discrete memoryless sources [17] produces optimal variable-to-fixed length source codes that maximize the expected number of letters per codeword. Tun stall achieves this result by constructing parse trees with maximum average height output. In first part paper we introduce a simple variant in order to optimizes additional natural cost functions interest. For instance show how select, among all height, those having minimum variance, external length, and more general parameters. second consider problem selecting, bounded some parameter L, height. We motivate problem, quantify loss performance these suffer respect unrestricted Tuns tall trees, when they are used as encoding source.

参考文章(18)
Brian Parker Tunstall, Synthesis of noiseless compression codes Georgia Institute of Technology. ,(1967)
F. Jelinek, G. Longo, Algorithms for Source Coding Coding and Complexity. pp. 293- 330 ,(1975) , 10.1007/978-3-7091-3008-7_9
Donald E Knuth, Huffman's algorithm via algebra Journal of Combinatorial Theory, Series A. ,vol. 32, pp. 216- 224 ,(1982) , 10.1016/0097-3165(82)90021-8
Eugene S. Schwartz, An optimum encoding with minimum longest code and total number of digits Information and Control. ,vol. 7, pp. 37- 44 ,(1964) , 10.1016/S0019-9958(64)90241-4
Lawrence T. Kou, Minimum Variance Huffman Codes SIAM Journal on Computing. ,vol. 11, pp. 138- 148 ,(1982) , 10.1137/0211011
George Markowsky, Best Huffman trees Acta Informatica. ,vol. 16, pp. 363- 370 ,(1981) , 10.1007/BF00289311
S.A. Savari, Some notes on Varn coding IEEE Transactions on Information Theory. ,vol. 40, pp. 181- 186 ,(1994) , 10.1109/18.272477
T. C. Hu, Daniel J. Kleitman, Jeanne K. Tamaki, BINARY TREES OPTIMUM UNDER VARIOUS CRITERIA Siam Journal on Applied Mathematics. ,vol. 37, pp. 246- 256 ,(1979) , 10.1137/0137015
F. Jelinek, K. Schneider, On variable-length-to-block coding IEEE Transactions on Information Theory. ,vol. 18, pp. 765- 774 ,(1972) , 10.1109/TIT.1972.1054899
F. Fabris, A. Sgarro, On the composition of Tunstall messages IEEE Transactions on Information Theory. ,vol. 45, pp. 1608- 1612 ,(1999) , 10.1109/18.771230