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Heuristic Introduction to the Discrete Memoryless Channel
The Discrete FiniteMemory Channel
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apply arbitrary argument asymptotic equipartition property binary symmetric channel Borel set capacity Cartesian product channel of Section channel sequence Chapter Chebyshev's inequality code n coding theorem components compound channel concave function conditional entropy corresponding course cylinder set defined denote depend disjoint disjoint sets duration of memory entropy ergodic exists a code exp2 finite function Hence holds indecomposable channel information digits information theory input alphabet integer jr-sequence knows the c.p.f. left member length Let u0 Markov chain matrix memoryless channel notation number of elements obtain obviously output alphabet past history present section probability of error proof of Theorem prove Theorem proves Lemma proves the theorem received letters received sequence result right member satisfies Section 5.1 sender and receiver sent standard chance variables stochastic input stochastic matrix strong converse subcode sufficiently large sw-input upper bound vector weak converse word