Large deviations for the asymptotics of Ziv-Lempel codes for 2-DGibbs fields
Amit, Y.; Miller, M.I.
Information Theory, IEEE Transactions on
Volume 38, Issue 4, Jul 1992 Page(s):1271 - 1275
Digital Object Identifier   10.1109/18.144707
Summary:The theory of large deviations for Gibbs random fields is used to show that the asymptotic number of bits per symbol for Ziv-Lempel codes in two dimensions is given by the maximal entropy of all Gibbs fields with the same interaction. The error-probability is shown to converge exponentially fast to zero. In addition, the stronger version of the Shannon-McMillan theorem proved by D.S. Ornstein and B. Weiss (1990) is formulated and proved in terms of the exponential decay of the probability of the nontypical sequences

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