Large-Scale Beamforming for Massive MIMO via Randomized Sketching

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Názov: Large-Scale Beamforming for Massive MIMO via Randomized Sketching
Autori: Hayoung Choi, Tao Jiang, Yuanming Shi, Xuan Liu, Yong Zhou, Khaled B. Letaief
Zdroj: IEEE Transactions on Vehicular Technology. 70:4669-4681
Informácie o vydavateľovi: Institute of Electrical and Electronics Engineers (IEEE), 2021.
Rok vydania: 2021
Predmety: Regularized zero-forcing beamforming, 0202 electrical engineering, electronic engineering, information engineering, Sketching method, 02 engineering and technology, Massive MIMO, Randomized sketching algorithm, 7. Clean energy
Popis: Massive MIMO system yields significant improvements in spectral and energy efficiency for future wireless communication systems. The regularized zero-forcing (RZF) beamforming is able to provide good performance with the capability of achieving numerical stability and robustness to the channel uncertainty. However, in massive MIMO systems, the matrix inversion operation in RZF beamforming becomes computationally expensive. To address this computational issue, we shall propose a novel randomized sketching based RZF beamforming approach with low computational complexity. This is achieved by solving a linear system via randomized sketching based on the preconditioned Richard iteration, which guarantees high quality approximations to the optimal solution. We theoretically prove that the sequence of approximations obtained iteratively converges to the exact RZF beamforming matrix linearly fast as the number of iterations increases. Also, it turns out that the system sum-rate for such sequence of approximations converges to the exact one at a linear convergence rate. Our simulation results verify our theoretical findings.
Druh dokumentu: Article
ISSN: 1939-9359
0018-9545
DOI: 10.1109/tvt.2021.3071543
Prístupová URL adresa: http://arxiv.org/pdf/1903.05904
https://arxiv.org/abs/1903.05904
https://dblp.uni-trier.de/db/journals/tvt/tvt70.html#ChoiJSLZL21
http://ieeexplore.ieee.org/document/9398557
https://ieeexplore.ieee.org/document/9398557
https://www.arxiv-vanity.com/papers/1903.05904/
https://doi.org/10.1109/TVT.2021.3071543
Rights: IEEE Copyright
Prístupové číslo: edsair.doi.dedup.....5e82b08306bb43bdcc68ef5e9808c0af
Databáza: OpenAIRE
Popis
Abstrakt:Massive MIMO system yields significant improvements in spectral and energy efficiency for future wireless communication systems. The regularized zero-forcing (RZF) beamforming is able to provide good performance with the capability of achieving numerical stability and robustness to the channel uncertainty. However, in massive MIMO systems, the matrix inversion operation in RZF beamforming becomes computationally expensive. To address this computational issue, we shall propose a novel randomized sketching based RZF beamforming approach with low computational complexity. This is achieved by solving a linear system via randomized sketching based on the preconditioned Richard iteration, which guarantees high quality approximations to the optimal solution. We theoretically prove that the sequence of approximations obtained iteratively converges to the exact RZF beamforming matrix linearly fast as the number of iterations increases. Also, it turns out that the system sum-rate for such sequence of approximations converges to the exact one at a linear convergence rate. Our simulation results verify our theoretical findings.
ISSN:19399359
00189545
DOI:10.1109/tvt.2021.3071543