Noiseless coding theorem proved by induction for finite stationary memoryless information sources
Jozsef Szabo
TL;DR
This paper proves the noiseless coding theorem for finite stationary memoryless sources using induction and mean inequalities, providing a new mathematical approach to information theory.
Contribution
It introduces an inductive proof method for the noiseless coding theorem based on geometric and harmonic mean inequalities.
Findings
Validated the noiseless coding theorem for finite stationary memoryless sources.
Provided a novel proof technique using induction and mean inequalities.
Enhanced theoretical understanding of source coding limits.
Abstract
Noiseless coding theorem for finite stationary memoryless information sources is proved by using induction on the number of source symbols and the inequality of geometric and harmonic means.
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Taxonomy
TopicsWireless Communication Security Techniques · Advanced Data Compression Techniques · DNA and Biological Computing