On the error probability of optimal codes in Gaussian channels under maximal power constraint

Vázquez Vilar, Gonzalo

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On the error probability of optimal codes in Gaussian channels under maximal power constraint

Author(s): Vázquez Vilar, Gonzalo

Publisher: IEEE

Issued date: 2019-07-07

Citation: Vazquez-Vilar, G. (2019). On the Error Probability of Optimal Codes in Gaussian Channels under Maximal Power Constraint. In: 2019 IEEE International Symposium on Information Theory (ISIT), 7-12 July 2019, pp. 2943-2946.

ISBN: 978-1-5386-9291-2

DOI: https://doi.org/10.1109/ISIT.2019.8849543

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: European Commission
Ministerio de Economía y Competitividad (España)

Sponsor: This work has been funded in part by the European Research Council (ERC) under grant 714161, and by the Spanish Ministry of Economy and Competitiveness under grants IJCI-2015-27020 and TEC2016-78434-C3 (AEI/FEDER, EU).

Project: Gobierno de España. TEC2016-78434-C3-3-R
info:eu-repo/grantAgreement/EC/714161
Gobierno de España. IJCI-2015-27020

Keywords: Error probability , Decoding , Phase shift keying , AWGN channels , Probability density function , Gaussian noise , Minimization

URI: http://hdl.handle.net/10016/33506

Abstract:

For an additive white Gaussian noise channel, we prove that Th. 41 in [Polyanskiy, Poor, Verdά2010] is a lower bound to the error probability of any channel code satisfying the maximal power constraint. In contrast, the (tighter) lower bound to the error proba [+]