Finite state channels with time-invariant deterministic feedback
IEEE Transactions on Information Theory
Capacity region of the finite-state multiple-access channel with and without feedback
IEEE Transactions on Information Theory
Feedback capacity of the compound channel
IEEE Transactions on Information Theory
Directed information and causal estimation in continuous time
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Directed information, causal estimation, and communication in continuous time
WiOPT'09 Proceedings of the 7th international conference on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Feedback capacity of stationary Gaussian channels
IEEE Transactions on Information Theory
IEEE Transactions on Communications
Gaussian fading is the worst fading
IEEE Transactions on Information Theory
On multipath fading channels at high SNR
IEEE Transactions on Information Theory
| Hi-index | 755.20 |
A coding theorem is proved for a class of stationary channels with feedback in which the output Yn = f(Xn-m n, Zn-m n) is the function of the current and past m symbols from the channel input Xn and the stationary ergodic channel noise Zn. In particular, it is shown that the feedback capacity is equal to limnrarr infin supp(x n ||y n-1 ) 1/n I(Xn rarr Yn) where I(Xn rarr Yn) = Sigmai=1 n I(Xi; Yi|Yi-1) denotes the Massey directed information from the channel input to the output, and the supremum is taken over all causally conditioned distributions p(xn||yn-1) = Pii=1 n p(xi|xi-1,yi-1). The main ideas of the proof are a classical application of the Shannon strategy for coding with side information and a new elementary coding technique for the given channel model without feedback, which is in a sense dual to Gallager's lossy coding of stationary ergodic sources. A similar approach gives a simple alternative proof of coding theorems for finite state channels by Yang-Kavcic-Tatikonda, Chen-Berger, and Permuter-Weissman-Goldsmith.