Minimum Expected Length of Fixed-to-Variable Lossless Compression of Memoryless Sources

被引:0
|
作者
Szpankowski, Wojciech [1 ]
Verdu, Sergio [2 ]
机构
[1] Purdue Univ, Dept Comp Sci, W Lafayette, IN 47907 USA
[2] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA
关键词
ENTROPY; BOUNDS;
D O I
10.1109/ISIT.2009.5205737
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Conventional wisdom states that the minimum expected length for fixed-to-variable length encoding of an n-block memoryless source with entropy H grows as nH+O(1). However, this performance is obtained under the constraint that the code assigned to the whole n-block is a prefix code. Dropping this unnecessary constraint we show that the minimum expected length grows as nH - 1/2 log n + O(1) unless the source is equiprobable.
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页码:369 / +
页数:3
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