Multi-user Information Theory
نویسندگان
چکیده
Definition 1 The compound channel is a channel with a state, where the state is constant over a whole transmission block. Definition 2 A (2, n) code for a compound channel consists of the following: 1) An index set M = {1, 2, . . .2}. 2) An encoding function f : M 7−→ X. 3) A decoding function g : Y 7−→ M. Definition 3 The average probability of error P (n) e , is the probability P (n) e , Pr{M̂ 6= M}, where M is chosen according to a uniform distribution over the set {1, 2, . . .2}. Definition 4 A rate R is said to be achievable if there exists a sequence of codes (2, n) s.t. P (n) e −−−→ n→∞0. Definition 5 The capacity is the supremum of all achievable rates.
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