CLC number: TN92
On-line Access: 2018-01-11
Received: 2017-01-10
Revision Accepted: 2017-04-02
Crosschecked: 2017-11-25
Cited: 0
Clicked: 6087
Dan Li, Shan Wang, Fang-lin Gu. Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(11): 1900-1912.
@article{title="Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel",
author="Dan Li, Shan Wang, Fang-lin Gu",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="18",
number="11",
pages="1900-1912",
year="2017",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1700030"
}
%0 Journal Article
%T Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel
%A Dan Li
%A Shan Wang
%A Fang-lin Gu
%J Frontiers of Information Technology & Electronic Engineering
%V 18
%N 11
%P 1900-1912
%@ 2095-9184
%D 2017
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1700030
TY - JOUR
T1 - Optimal signal design strategy with improper Gaussian signaling in the Z-interference channel
A1 - Dan Li
A1 - Shan Wang
A1 - Fang-lin Gu
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 18
IS - 11
SP - 1900
EP - 1912
%@ 2095-9184
Y1 - 2017
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1700030
Abstract: We propose a thoroughly optimal signal design strategy to achieve the pareto boundary (boundary of the achievable rate region) with improper Gaussian signaling (IGS) on the z-interference channel (Z-IC) under the assumption that the interference is treated as additive Gaussian noise. Specifically, we show that the pareto boundary has two different schemes determined by the two paths manifesting the characteristic of improperly transmitted signals. In each scheme, we derive several concise closed-form expressions to calculate each user’s optimally transmitted power, covariance, and pseudo-covariance of improperly transmitted signals. The effectiveness of the proposed optimal signal design strategy is supported by simulations, and the results clearly show the superiority of IGS. The proposed optimal signal design strategy also provides a simple way to achieve the required rate region, with which we also derive a closed-form solution to quickly find the circularity coefficient that maximizes the sum rate. Finally, we provide an in-depth discussion of the structure of the pareto boundary, characterized by the channel coefficient, the degree of impropriety measured by the covariance, and the pseudo-covariance of signals transmitted by two users.
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