On the achievable rate region of the Gaussian interference channel: the two- and three-user cases

This paper addresses the problem of computing the achievable rates for two and three users sharing the same frequency band without coordination and interfering with each other. It is primarily related to the field of cognitive radio studies as we look for the achievable increase in the spectrum use...

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Bibliographic Details
Published in:Annales des télécommunications 2010-06, Vol.65 (5-6), p.313-323
Main Authors: Tortelier, Patrick, Bagayoko, Abdoulaye
Format: Article
Language:English
Subjects:
Applied sciences
Circuits
Communications Engineering
Computer Communication Networks
Engineering
Exact sciences and technology
Information and Communication
Information Systems and Communication Service
Networks
R & D/Technology Policy
Radiocommunication specific techniques
Radiocommunications
Signal,Image and Speech Processing
Telecommunications
Telecommunications and information theory
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Summary:This paper addresses the problem of computing the achievable rates for two and three users sharing the same frequency band without coordination and interfering with each other. It is primarily related to the field of cognitive radio studies as we look for the achievable increase in the spectrum use efficiency. It is also strongly related to the longstanding problem of the achievable rate region of a Gaussian interference channel (GIC) because of the assumption of no user coordination and the underlying assumption that all signals and interferences are Gaussian. We give a geometrical description of the signal to interference-plus-noise ratio region for the two-user and three-user channels. This geometric approach provides a simple closed-form expression of the achievable rate region of the two-user interference channel and an insight of known optimal power allocation scheme. A closed-form expression of the contour lines of the achievable rate region is also given for the three-user channel.
ISSN:0003-4347
1958-9395
DOI:10.1007/s12243-009-0132-z