The conventional definitions of the sourcecodingrate and or channel capacity require the existence of reliable codes for all sufficiently large block lengths. Alternatively, if it is required that good codes exist f...
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The conventional definitions of the sourcecodingrate and or channel capacity require the existence of reliable codes for all sufficiently large block lengths. Alternatively, if it is required that good codes exist for infinitely many block lengths, then optimistic definitions of sourcecodingrate and channel capacity are obtained. In this work, formulas for the optimistic minimum achievable fixed-length sourcecodingrate and the minimum epsilon-achievable sourcecodingrate for arbitrary finite-alphabet sources are established, The expressions for the optimistic capacity and the optimistic epsilon-capacity of arbitrary single-user channels are also provided. The expressions of the optimistic source coding rate and capacity are examined for the class of information stable sources and channels, respectively, Finally, examples for the computation of optimistic capacity are presented.
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