Data Compression Conference (dcc 2008)
March 25-March 27
ISBN: 978-0-7695-3121-2
DOI Bookmark:
http://doi.ieeecomputersociety.org/10.1109/DCC.2008.103
We study the effects of finite-precision representation of source's probabilities on the efficiency of classic source coding algorithms, such as Shannon, Gilbert-Moore, or arithmetic codes. We derive several bounds for redundancy of such codes, and show how the problem of efficient constuction of such codes is related to one of finding simultaneous Diophantine approximations.
Index Terms:
source coding, entropy, information divergence, approximations, Diophantine approximations
Citation:
Yuriy A. Reznik, "On Precision-Redundancy Relation in the Design of Source Coding Algorithms," dcc, pp.539, Data Compression Conference (dcc 2008), 2008
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