Improving achievable rate for the two-user SISO interference channel with improper Gaussian signaling

This paper studies the achievable rate region of the two-user single-input single-output (SISO) Gaussian interference channel, when the improper Gaussian signaling is applied. Under the assumption that the interference is treated as additive Gaussian noise, we show that the user's achievable ra...

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Main Authors: Zeng, Yong, Gunawan, Erry, Guan, Yong Liang, Zhang, Rui, Yetis, Cenk M.
Other Authors: School of Electrical and Electronic Engineering
Format: Conference Paper
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/97392
http://hdl.handle.net/10220/13164
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author Zeng, Yong
Gunawan, Erry
Guan, Yong Liang
Zhang, Rui
Yetis, Cenk M.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Zeng, Yong
Gunawan, Erry
Guan, Yong Liang
Zhang, Rui
Yetis, Cenk M.
author_sort Zeng, Yong
collection NTU
description This paper studies the achievable rate region of the two-user single-input single-output (SISO) Gaussian interference channel, when the improper Gaussian signaling is applied. Under the assumption that the interference is treated as additive Gaussian noise, we show that the user's achievable rate can be expressed as a summation of the rate achievable by the conventional proper Gaussian signaling, which depends on the users' input covariances only, and an additional term, which is a function of both the users' covariances and pseudo-covariances. The additional degree of freedom given by the pseudo-covariance, which is conventionally set to be zero for the case of proper Gaussian signaling, provides an opportunity to improve the achievable rate by employing the improper Gaussian signaling. Since finding the optimal solution for the joint covariance matrix and pseudo-covariance matrix optimization is difficult, we propose a sub-optimal but efficient algorithm by separately optimizing these two sets of parameters. Numerical results show that the proposed algorithm provides a close-to-optimal performance as compared to the exhaustive search method, and significantly outperforms the optimal proper Gaussian signaling scheme.
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spelling ntu-10356/973922020-03-07T13:24:47Z Improving achievable rate for the two-user SISO interference channel with improper Gaussian signaling Zeng, Yong Gunawan, Erry Guan, Yong Liang Zhang, Rui Yetis, Cenk M. School of Electrical and Electronic Engineering Asilomar Conference on Signals, Systems and Computers (46th : 2012 : Pacific Grove, USA) DRNTU::Engineering::Electrical and electronic engineering This paper studies the achievable rate region of the two-user single-input single-output (SISO) Gaussian interference channel, when the improper Gaussian signaling is applied. Under the assumption that the interference is treated as additive Gaussian noise, we show that the user's achievable rate can be expressed as a summation of the rate achievable by the conventional proper Gaussian signaling, which depends on the users' input covariances only, and an additional term, which is a function of both the users' covariances and pseudo-covariances. The additional degree of freedom given by the pseudo-covariance, which is conventionally set to be zero for the case of proper Gaussian signaling, provides an opportunity to improve the achievable rate by employing the improper Gaussian signaling. Since finding the optimal solution for the joint covariance matrix and pseudo-covariance matrix optimization is difficult, we propose a sub-optimal but efficient algorithm by separately optimizing these two sets of parameters. Numerical results show that the proposed algorithm provides a close-to-optimal performance as compared to the exhaustive search method, and significantly outperforms the optimal proper Gaussian signaling scheme. 2013-08-16T04:18:39Z 2019-12-06T19:42:10Z 2013-08-16T04:18:39Z 2019-12-06T19:42:10Z 2012 2012 Conference Paper https://hdl.handle.net/10356/97392 http://hdl.handle.net/10220/13164 10.1109/ACSSC.2012.6489066 en
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Zeng, Yong
Gunawan, Erry
Guan, Yong Liang
Zhang, Rui
Yetis, Cenk M.
Improving achievable rate for the two-user SISO interference channel with improper Gaussian signaling
title Improving achievable rate for the two-user SISO interference channel with improper Gaussian signaling
title_full Improving achievable rate for the two-user SISO interference channel with improper Gaussian signaling
title_fullStr Improving achievable rate for the two-user SISO interference channel with improper Gaussian signaling
title_full_unstemmed Improving achievable rate for the two-user SISO interference channel with improper Gaussian signaling
title_short Improving achievable rate for the two-user SISO interference channel with improper Gaussian signaling
title_sort improving achievable rate for the two user siso interference channel with improper gaussian signaling
topic DRNTU::Engineering::Electrical and electronic engineering
url https://hdl.handle.net/10356/97392
http://hdl.handle.net/10220/13164
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