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- W2964209511 abstract "The Ising channel, which was introduced in 1990, is a channel with memory that models intersymbol interference. In this paper, we consider the Ising channel with feedback and find the capacity of the channel together with a capacity-achieving coding scheme. To calculate the channel capacity, an equivalent dynamic programming (DP) problem is formulated and solved. Using the DP solution, we establish that the feedback capacity is the expression C = (2H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>b</sub> (a)/3+a) ≈ 0.575522, where (a) is a particular root of a fourth-degree polynomial and H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>b</sub> (x) denotes the binary entropy function. Simultaneously, a = arg max <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>0≤x≤1</sub> (2H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>b</sub> (x)/3+x). Finally, an error-free, capacity-achieving coding scheme is provided together with the outlining of a strong connection between the DP results and the coding scheme." @default.
- W2964209511 created "2019-07-30" @default.
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- W2964209511 date "2014-09-01" @default.
- W2964209511 modified "2023-10-10" @default.
- W2964209511 title "Capacity and Coding for the Ising Channel With Feedback" @default.
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- W2964209511 doi "https://doi.org/10.1109/tit.2014.2331951" @default.
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