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Informational Divergence and Entropy Rate on Rooted Trees with Probabilities

Rooted trees with probabilities are used to analyze properties of a variable length code. A bound is derived on the difference between the entropy rates of the code and a memoryless source. The bound is in terms of normalized informational divergence. The bound is used to derive converses for exact random number generation, resolution coding, and distribution matching.

preprint2013arXivOpen access
Georg BöchererRana Ali Amjad
math.ITInformation Theory
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Georg BöchererRana Ali Amjad

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