27 citations · 30 across the 6 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2012★ 2 cited
Analyticity of Entropy Rate of Continuous-State Hidden Markov Chains
Guangyue Han, Brian Marcus
We prove that under certain mild assumptions, the entropy rate of a hidden Markov chain, observed when passing a finite-state stationary Markov chain through a discrete-time contin…
math.PR2008★ 27 cited
Asymptotics of input-constrained binary symmetric channel capacity
Guangyue Han, Brian Marcus
We study the classical problem of noisy constrained capacity in the case of the binary symmetric channel (BSC), namely, the capacity of a BSC whose inputs are sequences chosen from…
math.PR2005
Analyticity of Entropy Rate of Hidden Markov Chains
Guangyue Han, Brian Marcus
We prove that under mild positivity assumptions the entropy rate of a hidden Markov chain varies analytically as a function of the underlying Markov chain parameters. A general pri…