Computer Science – Information Theory
Scientific paper
2007-10-02
Computer Science
Information Theory
10 pages, 4 tables
Scientific paper
This paper introduces a new counting code. Its design was motivated by distributed video coding where, for decoding, error correction methods are applied to improve predictions. Those error corrections sometimes fail which results in decoded values worse than the initial prediction. Our code exploits the fact that bit errors are relatively unlikely events: more than a few bit errors in a decoded pixel value are rare. With a carefully designed counting code combined with a prediction those bit errors can be corrected and sometimes the original pixel value recovered. The error correction improves significantly. Our new code not only maximizes the Hamming distance between adjacent (or "near 1") codewords but also between nearby (for example "near 2") codewords. This is why our code is significantly different from the well-known maximal counting sequences which have maximal average Hamming distance. Fortunately, the new counting code can be derived from Gray Codes for every code word length (i.e. bit depth).
Lakus-Becker Axel
Leung Ka-Ming
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