最大功率约束下高斯信道最优码的误差概率

2019 IEEE International Symposium on Information Theory (ISIT) Pub Date : 2019-07-07 DOI:10.1109/ISIT.2019.8849543

G. Vazquez-Vilar

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摘要

对于加性高斯白噪声信道，我们证明了[Polyanskiy, Poor, Verdú 2010]中的Th. 41是满足最大功率约束的任何信道码的错误概率的下界。相比之下，[Shannon 1959]中Eq.(20)中误差概率的(更严格的)下界仅在等功率约束下成立。

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On the Error Probability of Optimal Codes in Gaussian Channels under Maximal Power Constraint

978-1-5386-9291-2/19/$31.00 ©2019 IEEEFor an additive white Gaussian noise channel, we prove that Th. 41 in [Polyanskiy, Poor, Verdú 2010] 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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2019 IEEE International Symposium on Information Theory (ISIT)

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