$κβ$ Bounds for Gaussian Broadcast Channels with Finite Blocklength

Ayse Unsal 1 Jean-Marie Gorce 2
1 SOCRATE - Software and Cognitive radio for telecommunications
Inria Grenoble - Rhône-Alpes, CITI - CITI Centre of Innovation in Telecommunications and Integration of services
2 SWING - Smart Wireless Networking
Inria Grenoble - Rhône-Alpes, CITI - CITI Centre of Innovation in Telecommunications and Integration of services
Abstract : We analyze the achievable performance of superposition coding in a two–receiver Gaussian broadcast channel (BC) with finite blocklength. To this end, we adapt the achievability bound on maximal code size of a point-to-point (P2P) channel introduced by Polyanskiy et al. in 2010 to the broadcast setting. Additionally, a new converse bound on maximal code sizes of each user in a two-user Gaussian BC is introduced for a given probability of error.
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Ayse Unsal, Jean-Marie Gorce. $κβ$ Bounds for Gaussian Broadcast Channels with Finite Blocklength. GRETSI 2017, Sep 2017, Juan-les-Pins / Antibes, France. ⟨hal-01643256⟩

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