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

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URI: https://hdl.handle.net/10016/33506
ISBN: 978-1-5386-9291-2
DOI: https://doi.org/10.1109/ISIT.2019.8849543
UXXI: CC/0000030491
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Error_Vazquez_ISIT_2019_ps.pdf (912.22 KB)
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2019-07-07
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IEEE
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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 probability in Eq. (20) in [Shannon 1959] only holds under equal power constraint.
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Proceedings of: 2019 IEEE International Symposium on Information Theory (ISIT)
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Error probability, Decoding, Phase shift keying, AWGN channels, Probability density function, Gaussian noise, Minimization
Bibliographic 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.
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