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• W2216796597 abstract "The input-constrained erasure channel with feedback is considered, where the binary input sequence contains no consecutive ones, i.e., it satisfies the (1, ∞)-RLL constraint. We derive the capacity for this setting, which can be expressed as C <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>ε</sub> = max <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>0≤ p≤0.5</sub> ((1-ε)H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>b</sub> (p))/(1+(1-ε)p) , where ε is the erasure probability and H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>b</sub> (·) is the binary entropy function. Moreover, we prove that a priori knowledge of the erasure at the encoder does not increase the feedback capacity. The feedback capacity was calculated using an equivalent dynamic programming (DP) formulation with an optimal average-reward that is equal to the capacity. Furthermore, we obtained an optimal encoding procedure from the solution of the DP, leading to a capacity-achieving, zero-error coding scheme for our setting. DP is, thus, shown to be a tool not only for solving optimization problems, such as capacity calculation, but also for constructing optimal coding schemes. The derived capacity expression also serves as the only non-trivial upper bound known on the capacity of the input-constrained erasure channel without feedback, a problem that is still open." @default.
• W2216796597 created "2016-06-24" @default.
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• W2216796597 date "2016-01-01" @default.
• W2216796597 modified "2023-09-30" @default.
• W2216796597 title "The Feedback Capacity of the Binary Erasure Channel With a No-Consecutive-Ones Input Constraint" @default.
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• W2216796597 doi "https://doi.org/10.1109/tit.2015.2495239" @default.
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