Almost sure source coding theorems for general sources

Description

For a source /spl mu/, which is assumed to be a probability measure on all strings of infinite length sequence with a finite alphabet, the notion of the almost-sure entropy rate is defined; it is an extension of the Shannon (1948) entropy rate. When both an encoder and a decoder know that a sequence is generated by /spl mu/, the optimal almost sure source coding rate is equal to the almost sure sup entropy rate.

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