Vázquez Vilar, Gonzalo2021-10-282021-10-282019-07-07Vazquez-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. 2943-2946.978-1-5386-9291-2https://hdl.handle.net/10016/33506Proceedings of: 2019 IEEE International Symposium on Information Theory (ISIT)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.4eng© 2019, IEEE.Error probabilityDecodingPhase shift keyingAWGN channelsProbability density functionGaussian noiseMinimizationconference paperTelecomunicacioneshttps://doi.org/10.1109/ISIT.2019.8849543open access294329462019 IEEE International Symposium on Information TheoryCC/0000030491