Beyond countable alphabets: An extension of the information-spectrum approach
Shengtian Yang, Thomas Honold, Zhaoyang Zhang · 2016
A general approach is established for deriving one-shot performance bounds for information-theoretic problems on general alphabets beyond countable alphabets. It is mainly based on the quantization idea and a novel form of “likelihood ratio”. As an example, one-shot lower and upper bounds for random number generation from correlated sources on general alphabets are derived.