Title
Computable Upper Bounds For Unifilar Finite-State Channels
Abstract
In this paper, we study the capacity of unifilar finite-state channels. We derive upper bounds that are based on the dual capacity bounding technique using test distributions with memory on directed Q-graphs. The bounds hold for any choice of graph-based test distribution and result in a multi-letter expression. The computability of the upper bound is shown via a novel dynamic programming formulation that can be efficiently evaluated. We further show that the bounds can be simplified to simple single-letter expressions by solving the corresponding Bellman equation explicitly. In particular, for the Ising and Trapdoor channels, we provide simple analytic upper bounds which outperform all previous bounds from the literature.
Year
DOI
Venue
2019
10.1109/ISIT.2019.8849776
2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
Field
DocType
Citations 
Discrete mathematics,Dynamic programming,Expression (mathematics),Upper and lower bounds,Computer science,Communication channel,Computability,Bellman equation,Ising model,Bounding overwatch
Conference
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Bashar Huleihel100.68
Oron Sabag2256.29
Haim H. Permuter335036.88
Navin Kashyap412722.97
Shlomo Shamai54531410.89