Rate-distortion functions of non-stationary Markoff chains and their block-independent approximations

03/27/2018

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by   Mukul Agarwal, et al.

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It is proved that the limit of the normalized rate-distortion functions of block independent approximations of an irreducible, aperiodic Markoff chain is independent of the initial distribution of the Markoff chain and thus, is also equal to the rate-distortion function of the Markoff chain.