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Coding for Discrete Memoryless Sources
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Actually aperiodic arbitrarily asymptotic behaviour auxiliary distribution Auxiliary Lemmas binary sequence Channel capacity closed set closed state set Coder and Decoder coding components conditional probabilities Consider corresponding course defined Discrete Memoryless Source disjoint sets distinct codewords divergence emits encoding rate entropy H erroneous decoding Error Exponent error probability finite following theorem given information loss Information Theory invariant p.d. irreducible law of large length sequences limiting behaviour lower bound Markov chain Markov Sources matrix TT Moreover Neyman-Pearson lemma number of distinct overall probability Pearson Lemma Prob Prob(u probability distribution probability of erroneous probable sequences Proposition row of TT samples self-information sequence of letters sequences of length Shannon Theorem Source alphabet Source Coder Source output Source sequences Stationary Distribution stationary p.d. stochastic matrix tends th row Theorem 2.5 transmission errors transmission link typical sequences Udine vector waveforms whence wish zero