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Open AccessFeature PaperArticle

Multiuser Channels with Statistical CSI at the Transmitter: Fading Channel Alignments and Stochastic Orders, an Overview

Department of Electrical Engineering and Information Technology, Technische Universität Dresden, Zellescher Weg 18, 01069 Dresden, Germany
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Entropy 2017, 19(10), 515; https://doi.org/10.3390/e19100515
Received: 13 June 2017 / Revised: 8 September 2017 / Accepted: 20 September 2017 / Published: 25 September 2017
(This article belongs to the Special Issue Network Information Theory)
In this overview paper, we introduce an application of stochastic orders in wireless communications. In particular, we show how to use stochastic orders to investigate the ergodic capacity results for fast fading Gaussian memoryless multiuser channels when only the statistics of the channel state information are known at the transmitters (CSIT). In general, the characterization of the capacity region of multiuser channels with only statistical CSIT is open. To attain our goal, in this work we resort to classifying the random channels through their probability distributions by which we can obtain the capacity results. To be more precise, we derive sufficient conditions to attain some information theoretic channel orders such as degraded and very strong interference by exploiting the usual stochastic order and exploiting the same marginal property. After that, we apply the developed scheme to Gaussian interference channels and Gaussian broadcast channels. We also extend the framework to channels with multiple antennas. Possible scenarios for channel enhancement under statistical CSIT are also discussed. Several practical examples such as Rayleigh fading and Nakagami-m fading, etc., illustrate the application of the derived results. View Full-Text
Keywords: [-15]multi-user channels; fast fading; stochastic orders; same marginal property; capacity region [-15]multi-user channels; fast fading; stochastic orders; same marginal property; capacity region
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MDPI and ACS Style

Lin, P.-H.; Jorswieck, E.A. Multiuser Channels with Statistical CSI at the Transmitter: Fading Channel Alignments and Stochastic Orders, an Overview. Entropy 2017, 19, 515. https://doi.org/10.3390/e19100515

AMA Style

Lin P-H, Jorswieck EA. Multiuser Channels with Statistical CSI at the Transmitter: Fading Channel Alignments and Stochastic Orders, an Overview. Entropy. 2017; 19(10):515. https://doi.org/10.3390/e19100515

Chicago/Turabian Style

Lin, Pin-Hsun; Jorswieck, Eduard A. 2017. "Multiuser Channels with Statistical CSI at the Transmitter: Fading Channel Alignments and Stochastic Orders, an Overview" Entropy 19, no. 10: 515. https://doi.org/10.3390/e19100515

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