## Algorithms for tree source coding with a fidelity criterion |

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2-cycle algorithm acceptance metric algor analytical asymptotic Atree(R average barrier separation behavior block code bounds branch increments branches stemming Chapter chosen code tree code word coding theorem complexity converge convolutional codes define difference equations distortion measure diverges effective barriers ENa and ENb ENa(y estimate exist expected number extinction faster than exponential fidelity criterion Figure finite freezing barriers freezing cycle depth infinite integers Lemma link length live links M-algorithm martingale node computation node nQ node storage nodes searched number of nodes numerical analysis optimal overbound performance Proof prove push down cycle push down stack push-down random ensemble rate distortion function recursions root node searched branching process Section shown shows simulation solution to 4.1 source coding source digit source sequence stack algorithm stack minimum distribution stack searched branching Suppose symmetric sources target distortion Theorem 4.1 tion tree codes tree level underbound width limit zero