# $κβ$ Bounds for Gaussian Broadcast Channels with Finite Blocklength

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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Conference papers
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https://hal.archives-ouvertes.fr/hal-01643256
Contributor : Ayse Unsal <>
Submitted on : Tuesday, November 21, 2017 - 11:39:01 AM
Last modification on : Wednesday, November 20, 2019 - 7:48:51 AM

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• HAL Id : hal-01643256, version 1

### Citation

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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