caa a22 4500 445296968 CHVBK 20180317142545.0 cr unu---uuuuu 170323e20100601xx s 000 0 eng 10.1007/s12243-009-0132-z doi (NATIONALLICENCE)springer-10.1007/s12243-009-0132-z On the achievable rate region of the Gaussian interference channel: the two- and three-user cases [Elektronische Daten] [Patrick Tortelier, Abdoulaye Bagayoko] 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. Institut TELECOM and Springer-Verlag, 2009 Achievablerateregion nationallicence Gaussianinterferencechannel nationallicence Cognitiveradiostudies nationallicence Tortelier Patrick Orange Labs, 38-40 Rue du General Leclerc, 92794, Issy-les-Moulineaux Cedex 9, France aut Bagayoko Abdoulaye Orange Labs, 38-40 Rue du General Leclerc, 92794, Issy-les-Moulineaux Cedex 9, France aut annals of telecommunications - annales des télécommunications Springer-Verlag 65/5-6(2010-06-01), 313-323 0003-4347 65:5-6<313 2010 65 12243 https://doi.org/10.1007/s12243-009-0132-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12243-009-0132-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tortelier Patrick Orange Labs, 38-40 Rue du General Leclerc, 92794, Issy-les-Moulineaux Cedex 9, France aut NATIONALLICENCE 700 1- Bagayoko Abdoulaye Orange Labs, 38-40 Rue du General Leclerc, 92794, Issy-les-Moulineaux Cedex 9, France aut NATIONALLICENCE 773 0- annals of telecommunications - annales des télécommunications Springer-Verlag 65/5-6(2010-06-01), 313-323 0003-4347 65:5-6<313 2010 65 12243 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer