Upper Bound on the Capacity of Discrete-Time Wiener Phase Noise Channels

Luca Barletta; Gerhard Kramer

doi:10.1109/ITW.2015.7133136

Upper Bound on the Capacity of Discrete-Time Wiener Phase Noise Channels

Information Theory 2016-11-17 v2 math.IT

Authors: Luca Barletta , Gerhard Kramer

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Abstract

A discrete-time Wiener phase noise channel with an integrate-and-dump multi-sample receiver is studied. An upper bound to the capacity with an average input power constraint is derived, and a high signal-to-noise ratio (SNR) analysis is performed. If the oversampling factor grows as $\text{SNR}^\alpha$ for $0\le \alpha \le 1$ , then the capacity pre-log is at most $(1+\alpha)/2$ at high SNR.

Keywords

Wiener phase noise channel capacity upper bound discrete-time integrate-and-dump receiver oversampling high SNR analysis pre-log factor

Cite

@article{arxiv.1411.0390,
  title  = {Upper Bound on the Capacity of Discrete-Time Wiener Phase Noise Channels},
  author = {Luca Barletta and Gerhard Kramer},
  journal= {arXiv preprint arXiv:1411.0390},
  year   = {2016}
}

Comments

5 pages, 1 figure. To be presented at IEEE Inf. Theory Workshop (ITW) 2015

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