Abstract
Wyner and Ziv (1989) studied the asymptotic properties of recurrence times of stationary ergodic processes, and applied the results to obtain optimal data compression schemes in information transmission. Since then many data compression algorithms based upon string matching of a sequence from an information source with a database have been proposed and studied. In this paper we consider Gaussian stationary processes representing an information source and a database, and study problems of string matching with distortion. We prove theorems concerning the asymptotic behavior of the probability of string matching with distortion and the waiting time for the string matching.
Citation
Shunsuke Ihara. Masashi Kubo. "The asymptotics of string matching probabilities for Gaussian random sequences." Nagoya Math. J. 166 39 - 54, 2002.
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