SINR-Outage Minimization of Robust Beamforming for the Non-Orthogonal Wireless Downlink

A probabilistically robust transmit beamforming problem is referred, when the wireless downlink (DL) communication is supported by a robust non-orthogonal transmission (NOT)-aided design. Realistic imperfect channel state information (CSI) is considered in the face of rapidly fluctuating vehicular w...

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Bibliographic Details
Published in:IEEE transactions on communications 2020-11, Vol.68 (11), p.7247-7257
Main Authors: Chen, Yingyang, Wen, Miaowen, Wang, Li, Liu, Weiping, Hanzo, Lajos
Format: Article
Language:English
Subjects:
Approximation
Array signal processing
Beamforming
channel state information (CSI)
Downlinking
Gaussian distribution
high mobility
Interference
Linear matrix inequalities
Mathematical analysis
NOMA
non-orthogonal multiple access (NOMA)
outage probability
Roadsides
Robust optimization
Robustness
Signal to noise ratio
Solvers
Uncertainty
Wireless communication
Wireless communications
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Summary:A probabilistically robust transmit beamforming problem is referred, when the wireless downlink (DL) communication is supported by a robust non-orthogonal transmission (NOT)-aided design. Realistic imperfect channel state information (CSI) is considered in the face of rapidly fluctuating vehicular wireless channels, when the road side unit (RSU) communicates with multiple vehicles. Our design objective is to keep the probability of each vehicle's signal-to-interference-plus-noise ratio (SINR) outage below a given threshold. Minimizing the outage probability presents a significant analytical and computational challenge, since it does not lend itself to tractable closed-form expressions. Assuming a Gaussian CSI uncertainty distribution, we provide an approximation method by resorting to the semidefinite relaxation (SDR) and then apply a convex restriction to the original SINR outage constraints. Furthermore, the infinite constraints are reformulated into linear matrix inequalities (LMIs) by exploiting the popular S-procedure. As a benefit, the reformulated program can be solved efficiently using off-the-shelf solvers. Computer simulations are performed for benchmarking our convex method both against the non-robust non-orthogonal as well as the classical orthogonal designs. The results show that our robust beamforming design offers excellent high-mobility performance.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2020.3012696