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Bounds on the rate-distortion function for stationary sources with memory

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2 Author(s)

In this paper, we study discrete-time stationary sources S with memory. The rate R(\beta ) of the source relative to a distortion measure is compared with R^ \ast (\beta ) , the rate of the memoryless source S^ /\ast with the same marginal statistics as S . We show that R^ \ast (\beta ) - \Delta \leq R(\beta ) \leq R^ \ast (\beta ) , where \Delta is a measure of the memory of the source. A number of interesting applications of these bounds are given.

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IEEE Transactions on Information Theory  (Volume:17 ,  Issue: 5 )