Capacity Outer Bound and Degrees of Freedom of Wiener Phase Noise\n Channels with Oversampling

2017/05/23 by Luca Barletta, Barletta, Luca, Stefano Rini +1
Mathematics · #FOS: Computer and information sciences #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1705.08148

openalex publication_date 2017/05/23 · openalex created_date 2022/09/20 · openalex updated_date 2026/07/28

Abstract

The discrete-time Wiener phase noise channel with an integrate-and-dump\nmulti-sample receiver is studied.\n A novel outer bound on the capacity with an average input power constraint is\nderived as a function of the oversampling factor.\n This outer bound yields the degrees of freedom for the scenario in which the\noversampling factor grows with the transmit power P as P^\α.\n The result shows, perhaps surprisingly, that the largest pre-log that can be\nattained with phase modulation at high signal-to-noise ratio is at most 1/4.\n

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• Capacity of Discrete-Time Wiener Phase Noise Channels to Within a\n Constant Gap
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