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Open AccessArticle

Ergodic Rate for Fading Interference Channels with Proper and Improper Gaussian Signaling

1
Signal and System Theory Group, Universität Paderborn, 33098 Paderborn, Germany
2
Department of Communications Engineering, University of Cantabria, 39005 Santander, Cantabria, Spain
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(10), 922; https://doi.org/10.3390/e21100922
Received: 25 July 2019 / Revised: 13 September 2019 / Accepted: 18 September 2019 / Published: 23 September 2019
(This article belongs to the Special Issue Wireless Networks: Information Theoretic Perspectives)
This paper studies the performance of improper Gaussian signaling (IGS) over a 2-user Rayleigh single-input single-output (SISO) interference channel, treating interference as noise. We assume that the receivers have perfect channel state information (CSI), while the transmitters have access to only statistical CSI. Under these assumptions, we consider a signaling scheme, which we refer to as proper/improper Gaussian signaling or PGS/IGS, where at most one user may employ IGS. For the Rayleigh fading channel model, we characterize the statistical distribution of the signal-to-interference-plus-noise ratio at each receiver and derive closed-form expressions for the ergodic rates. By adapting the powers, we characterize the Pareto boundary of the ergodic rate region for the 2-user fading IC. The ergodic transmission rates can be attained using fixed-rate codebooks and no optimization is involved. Our results show that, in the moderate and strong interference regimes, the proposed PGS/IGS scheme improves the performance with respect to the PGS scheme. Additionally, we numerically compute the ergodic rate region of the full IGS scheme when both users can employ IGS and their transmission parameters are optimized by an exhaustive search. Our results suggest that most of the Pareto optimal points for the 2-user fading IC channel are attained when either both users transmit PGS or when one transmits PGS and the other transmits maximally improper Gaussian signals and time sharing is allowed. View Full-Text
Keywords: achievable ergodic rate region; fading channels; improper Gaussian signaling; 2-user interference channel achievable ergodic rate region; fading channels; improper Gaussian signaling; 2-user interference channel
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Soleymani, M.; Santamaria, I.; Lameiro, C.; Schreier, P.J. Ergodic Rate for Fading Interference Channels with Proper and Improper Gaussian Signaling. Entropy 2019, 21, 922.

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