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Entropy 2018, 20(9), 686; https://doi.org/10.3390/e20090686

Gaussian Multiple Access Channels with One-Bit Quantizer at the Receiver ,

1
School of Computer Science and Electronic Engineering, University of Essex, Colchester CO4 3SQ, UK
2
The Intelligent Systems and Networks group of Department of Electrical and Electronics, Imperial College London, London SW7 2AZ, UK
This paper is an extended version of our paper published in the 2017 IEEE International Symposium on Information Theory (ISIT), Aachen, Germany, 25–30 June 2017.
This work has been carried out when the first author was with the Information Processing and Communications Laboratory at Imperial College London.
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Authors to whom correspondence should be addressed.
Received: 21 May 2018 / Revised: 20 August 2018 / Accepted: 5 September 2018 / Published: 7 September 2018
(This article belongs to the Special Issue Information Theory for Data Communications and Processing)
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Abstract

The capacity region of a two-transmitter Gaussian multiple access channel (MAC) under average input power constraints is studied, when the receiver employs a zero-threshold one-bit analogue-to-digital converter (ADC). It is proven that the input distributions of the two transmitters that achieve the boundary points of the capacity region are discrete. Based on the position of a boundary point, upper bounds on the number of the mass points of the corresponding distributions are derived. Furthermore, a lower bound on the sum capacity is proposed that can be achieved by time division with power control. Finally, inspired by the numerical results, the proposed lower bound is conjectured to be tight. View Full-Text
Keywords: Gaussian multiple access channel; one-bit quantizer; capacity region Gaussian multiple access channel; one-bit quantizer; capacity region
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Rassouli, B.; Varasteh, M.; Gündüz, D. Gaussian Multiple Access Channels with One-Bit Quantizer at the Receiver ,. Entropy 2018, 20, 686.

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