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Algorithmic Computability and Approximability of Capacity-Achieving Input Distributions

Algorithmic Computability and Approximability of Capacity-Achieving Input Distributions

The capacity of a channel can usually be characterized as a maximization of certain entropic quantities. From a practical point of view it is of primary interest to not only compute the capacity value, but also to find the corresponding optimizer, i.e., the capacity-achieving input distribution. This paper addresses the …