Enyi ' S Entropy Rate for Discrete Markov
نویسندگان
چکیده
In this work, we extend a variable-length source coding theorem for discrete memoryless sources to ergodic time-invariant Markov sources of arbitrary order. To accomplish this extension, we establish a formula for the R enyi entropy rate limn!1 H(n)=n. The main tool used to obtain the R enyi entropy rate result is Perron-Frobenius theory. We also examine the expression of the R enyi en-tropy rate for speciic examples of Markov sources and investigate its limit as ! 1 and as ! 0. Finally, we conclude with numerical examples.
منابع مشابه
R Enyi's Entropy Rate for Discrete Markov Sources
In this work, we extend a variable-length source coding theorem for discrete memoryless sources to ergodic time-invariant Markov sources of arbitrary order. To accomplish this extension, we establish a formula for the R enyi entropy rate lim n!1 H (n)=n. The main tool used to obtain the R enyi entropy rate result is Perron-Frobenius theory. We also examine the expression of the R enyi entropy r...
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