Open AccessSum-Rate Upper Bounds for the Gaussian X Channel with Limited Receiver Cooperation
Author(s) -
S. Tan-a-ram,
Watit Benjapolkul
Publication year - 2017
Publication title -
ecti transactions on electrical eng. / electronics and communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.148
H-Index - 7
ISSN - 1685-9545
DOI - 10.37936/ecti-eec.2017152.171314
Subject(s) - upper and lower bounds , channel (broadcasting) , gaussian , set (abstract data type) , topology (electrical circuits) , mathematics , fano plane , computer science , discrete mathematics , combinatorics , telecommunications , pure mathematics , mathematical analysis , physics , quantum mechanics , programming language
In this paper, we propose sum-rate upper bounds in terms of the sum of 3 rates and the sum of 4 rates for the two-user Gaussian X channel with limited receiver cooperation. These upper bounds are derived by using the Fano's inequality, the data processing inequality and genie-aided techniques. Then, we explore the generalized degrees of freedom (GDoF) of the proposed upper bounds with a symmetric channel setting. By setting a certain set of parameters, the received results show that our results are identical to the existing results for both non-cooperation and limited receiver cooperation cases. Moreover, we obtain that the GDoF computed from our proposedupper bounds are greater than the GDoF of those in the non-cooperation case.