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• W2372190485 abstract "In this paper, we examine an input-constrained erasure channel and we characterize the asymptotics of its capacity when the erasure rate is low. More specifically, for a general memoryless erasure channel with its input supported on an irreducible finite-type constraint, we derive partial asymptotics of its capacity, using some series expansion type formulas of its mutual information rate; and for a binary erasure channel with its first-order Markovian input supported on the $(1, infty)$-RLL constraint, based on the concavity of its mutual information rate with respect to some parameterization of the input, we numerically evaluate its first-order Markov capacity and further derive its full asymptotics. The asymptotics obtained in this paper, when compared with the recently derived feedback capacity for a binary erasure channel with the same input constraint, enable us to draw the conclusion that feedback may increase the capacity of an input-constrained channel, even if the channel is memoryless." @default.
• W2372190485 created "2016-06-24" @default.
• W2372190485 creator A5000081781 @default.
• W2372190485 creator A5003154013 @default.
• W2372190485 date "2016-05-07" @default.
• W2372190485 modified "2023-09-27" @default.
• W2372190485 title "Asymptotics of Input-Constrained Erasure Channel Capacity" @default.
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• W2372190485 doi "https://doi.org/10.48550/arxiv.1605.02175" @default.
• W2372190485 hasPublicationYear "2016" @default.
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