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Correlated information sequences, X-₁, X₀, X₁, and, Y-₁, Y₀, Y₁, are generated by repeated independent drawings of a pair of discrete random variables X, Y from a given bivariate distribution Pₗₘ (x, y). We determine the minimum number of bits per character RX and RY needed to encode these sequences so that they can be faithfully reproduced under a variety of assumptions regarding the encoders and decoders. The results, some of which are not at all obvious, are presented as an admissible rate region R in the RX - RY plane. They generalize a similar and well-known result for a single information sequence, namely RX H (X) for faithful reproduction.
Slepian et al. (Sun,) studied this question.
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