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The Dispersion of Superposition Coding for Gaussian Broadcast Channels

Ayse Unsal 1 Jean-Marie Gorce 1
1 SOCRATE - Software and Cognitive radio for telecommunications
Inria Grenoble - Rhône-Alpes, CITI - CITI Centre of Innovation in Telecommunications and Integration of services
Abstract : In this paper, we analyze the performance of superposition coding for Gaussian broadcast channels with finite blocklength. To this end, we adapt two different achievability bounds, the dependence testing and the κβ bounds introduced by Polyanskiy et al. in 2010 to the broadcast setting. The distinction between these bounds lies in fixing either the input or the output distributions of the channel. For the first case of the dependence testing bound, an upper bound on the average error probability of the system is derived whereas for the latter, lower bounds on the maximal code sizes of each user are presented.
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Submitted on : Tuesday, November 21, 2017 - 11:41:08 AM
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  • HAL Id : hal-01643260, version 1

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Ayse Unsal, Jean-Marie Gorce. The Dispersion of Superposition Coding for Gaussian Broadcast Channels. IEEE Information Theory Workshop 2017, Nov 2017, Kaohsiung, Taiwan. ⟨hal-01643260⟩

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