First- and Second-Moment Constrained Gaussian Channels

Shuai Ma; Michèle Wigger

First- and Second-Moment Constrained Gaussian Channels

Information Theory 2021-02-05 v1 math.IT

Authors: Shuai Ma , Michèle Wigger

Abstract

This paper studies the channel capacity of intensity-modulation direct-detection (IM/DD) visible light communication (VLC) systems under both optical and electrical power constraints. Specifically, it derives the asymptotic capacities in the high and low signal-to-noise ratio (SNR) regimes under peak, first-moment, and second-moment constraints. The results show that first- and second-moment constraints are never simultaneously active in the asymptotic low-SNR regime, and only in few cases in the asymptotic high-SNR regime. Moreover, the second-moment constraint is more stringent in the asymptotic low-SNR regime than in the high-SNR regime.

Keywords

channel capacity

Cite

@article{arxiv.2102.02388,
  title  = {First- and Second-Moment Constrained Gaussian Channels},
  author = {Shuai Ma and Michèle Wigger},
  journal= {arXiv preprint arXiv:2102.02388},
  year   = {2021}
}

Comments

6 pages, 1 figure

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