TY - GEN
T1 - Taylor series expansions for the entropy rate of Hidden Markov Processes
AU - Zuk, Or
AU - Domany, Eytan
AU - Kanter, Ido
AU - Aizenman, Michael
PY - 2006
Y1 - 2006
N2 - Finding the entropy rate of Hidden Markov Processes is an active research topic, of both theoretical and practical importance. A recently used approach is studying the asymptotic behavior of the entropy rate in various regimes. In this paper we generalize and prove a previous conjecture relating the entropy rate to entropies of finite systems. We use the proof to establish series expansions for the entropy rate in two different regimes. We also study the radius of convergence of the two series expansions.
AB - Finding the entropy rate of Hidden Markov Processes is an active research topic, of both theoretical and practical importance. A recently used approach is studying the asymptotic behavior of the entropy rate in various regimes. In this paper we generalize and prove a previous conjecture relating the entropy rate to entropies of finite systems. We use the proof to establish series expansions for the entropy rate in two different regimes. We also study the radius of convergence of the two series expansions.
UR - http://www.scopus.com/inward/record.url?scp=42549094215&partnerID=8YFLogxK
U2 - 10.1109/ICC.2006.255039
DO - 10.1109/ICC.2006.255039
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AN - SCOPUS:42549094215
SN - 1424403553
SN - 9781424403554
T3 - IEEE International Conference on Communications
SP - 1598
EP - 1604
BT - 2006 IEEE International Conference on Communications, ICC 2006
T2 - 2006 IEEE International Conference on Communications, ICC 2006
Y2 - 11 July 2006 through 15 July 2006
ER -