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» On the Entropy Rate of Pattern Processes
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DCC
2004
IEEE
14 years 4 months ago
On the Entropy of a Hidden Markov Process
We study the entropy rate of a hidden Markov process (HMP) defined by observing the output of a binary symmetric channel whose input is a first-order binary Markov process. Despit...
Philippe Jacquet, Gadiel Seroussi, Wojciech Szpank...
CIARP
2005
Springer
13 years 10 months ago
Automatic Window Design for Gray-Scale Image Processing Based on Entropy Minimization
David Correa Martins Jr., Roberto M. Cesar, Junior...
TSP
2010
12 years 12 months ago
On entropy rate for the complex domain and its application to i.i.d. sampling
We derive the entropy rate formula for a complex Gaussian random process by using a widely linear model. The resulting expression is general and applicable to both circular and non...
Wei Xiong, Hualiang Li, Tülay Adali, Yi-Ou Li...
CORR
2011
Springer
168views Education» more  CORR 2011»
13 years 9 days ago
Limit Theorems for the Sample Entropy of Hidden Markov Chains
The Shannon-McMillan-Breiman theorem asserts that the sample entropy of a stationary and ergodic stochastic process converges to the entropy rate of the same process almost surely...
Guangyue Han
CORR
2006
Springer
122views Education» more  CORR 2006»
13 years 5 months ago
Derivatives of Entropy Rate in Special Families of Hidden Markov Chains
Consider a hidden Markov chain obtained as the observation process of an ordinary Markov chain corrupted by noise. Zuk, et. al. [13, 14] showed how, in principle, one can explicit...
Guangyue Han, Brian Marcus