Capacity and zero-error capacity of Ising channels

Simple binary symmetric one- and two-dimensional channel systems called Ising channels are investigated. The one-dimensional version is a certain binary finite-state channel with input intersymbol interference. Its zero-error capacity is determined together with lower and upper bounds to its Shannon capacity. For the two-dimensional channel system, a lower bound is obtained for the zero-error capacity, and an efficient zero-error coding scheme is developed