## A rate distortion problem for the binary symmetric Markov source |

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### Contents

GENERAL METHOD AND DISCUSSION | 13 |

PROCEDURE AND SOLUTION | 21 |

B Region 1 | 24 |

4 other sections not shown

### Common terms and phrases

average distortion become zero Berger Binary Symmetric Markov block distortion calculated R(D called region choosing the interior component to become consistent set Cornell University correct interior set curve determines the right-hand Distance Fidelity Criterion distortion matrix distortion metric-probability metric equals the right-hand equation for u(l follows easily given region Hamming Distance Fidelity hypothesis implies invertible left-hand end point letter distortion measure letter Hamming distance llOO lOlO lOOl necessary and sufficient nonnegative nonzero component number of transitions Olll OllO optimal q-vector optimal solution point of region probability vector Q(ll random variable rate distortion function Referring to region reproducing alphabet reproducing letter right-hand end point sequences of length set of equations single letter distortion single letter fidelity smallest positive root solve source letters source with memory sufficient condition Symmetric Markov source Tentative Solution Equations terms of g transition probability assignment underdetermined values of q variational problem Wiener process yields