Technical Program

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Paper IDS.3.2
Paper Title Bounds for the capacity error function for unidirectional channels with noiseless feedback
Authors Christian Deppe, Technische Universität München, Germany; Vladimir Lebedev, Russian Academy of Sciences, Russia; Georg Maringer, Technische Universität München, Germany
Session S.3: Channels with Feedback
Presentation Lecture
Track Shannon Theory
Manuscript  Click here to download the manuscript
Virtual Presentation  Click here to watch in the Virtual Symposium
Abstract In digital systems such as fiber optical communications, the ratio between probability the of errors of type $1\to 0$ and $0 \to 1$ can be large. Practically, one can assume that only one type of error can occur. These errors are called asymmetric. Unidirectional errors differ from asymmetric type of errors; here both $1 \to 0$ and $0 \to 1$ type of errors are possible, but in any submitted codeword all the errors are of the same type. This can be generalized for the $q$-ary case. We consider $q$-ary unidirectional channels with feedback and give bounds for their capacity error functions. It turns out that the bounds depend on the parity of the alphabet $q$. Furthermore, we show that for the feedback case, the capacity error functions of the binary asymmetric channel and the symmetric channel are not the same. This is in contrast to the behavior of those functions without feedback.

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2021 IEEE International Symposium on Information Theory

11-16 July 2021 | Melbourne, Victoria, Australia

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