A Formula for the Capacity of the General Gel'fand–Pinsker Channel
A Formula for the Capacity of the General Gel'fand–Pinsker Channel
We consider the Gel'fand-Pinsker problem in which the channel and state are general, i.e., possibly non-stationary, non-memoryless and non-ergodic. Using the information spectrum method and a non-trivial modification of the piggyback coding lemma by Wyner, we prove that the capacity can be expressed as an optimization over the difference of …