Bounds on the rate-distortion function for stationary sources with memory
A Wyner, J Ziv - IEEE Transactions on Information Theory, 1971 - ieeexplore.ieee.org
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.
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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