Joint Resource Allocation for Multiuser Opportunistic Beamforming Systems with OFDM-NOMA

Opportunistic beamforming (OBF) is an effective technique to improve the spectrum efficiencies (SEs) of multiple-input-multiple-output (MIMO) systems, which can obtain multiuser diversity gains with both low computation complexity and feedback information. To serve multiple users simultaneously, man...

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Main Authors: Wen-Bin Sun, Ming-Liang Tao, Ling Wang, Xin Yang, Rui-Zhe Zhou, Zi-Xiong Yang
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/7/809
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spelling doaj-ae78878e2b9d4455ba8a831d216444942021-07-23T13:39:32ZengMDPI AGEntropy1099-43002021-06-012380980910.3390/e23070809Joint Resource Allocation for Multiuser Opportunistic Beamforming Systems with OFDM-NOMAWen-Bin Sun0Ming-Liang Tao1Ling Wang2Xin Yang3Rui-Zhe Zhou4Zi-Xiong Yang5School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, ChinaOpportunistic beamforming (OBF) is an effective technique to improve the spectrum efficiencies (SEs) of multiple-input-multiple-output (MIMO) systems, which can obtain multiuser diversity gains with both low computation complexity and feedback information. To serve multiple users simultaneously, many multiple-access schemes have been researched in OBF. However, for most of the multiple-access schemes, the SEs are not satisfactory. To further improve the SE, this paper proposes a downlink multiuser OBF system, where both orthogonal frequency division multiplexing (OFDM) and non-orthogonal multiple-access (NOMA) methods are applied. The closed-form expressions of the equivalent channels and SE are derived in frequency selective fading channels. Then, an optimization problem is formulated to maximize the SE, although the optimization problem is non-convex and hard to solve. To obtain the solution, we divide the optimization problem into two suboptimal issues, and then a joint iterative algorithm is applied. In the proposed optimization scheme, the subcarrier mapping <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϑ</mi></semantics></math></inline-formula>, user pairing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>k</mi><msub><mi>n</mi><mi>c</mi></msub></msub></semantics></math></inline-formula> and allocated power <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>P</mi><msub><mi>k</mi><msub><mi>n</mi><mi>c</mi></msub></msub></msub></semantics></math></inline-formula> are determined to maximize spectrum efficiency (SE) and reduce bit error ratio (BER). According to numerical results, the proposed method achieves approximately 5 dB gain on both SE and BER, compared to the existing beamforming methods with low feedback information. Moreover, the SE of the proposed method is approximately 2 (bps/Hz) higher than sparse code multiple-access (SCMA), when the number of waiting users and the ratio of transmit power to noise variance are respectively 10 and 20 dB. It is indicated that the proposed scheme can achieve high and low BER with the limited feedback and computation complexity, regardless of the transmit power and the number of waiting users.https://www.mdpi.com/1099-4300/23/7/809opportunistic beamformingmultiuserOFDMNOMAspectrum efficiency
collection DOAJ
language English
format Article
sources DOAJ
author Wen-Bin Sun
Ming-Liang Tao
Ling Wang
Xin Yang
Rui-Zhe Zhou
Zi-Xiong Yang
spellingShingle Wen-Bin Sun
Ming-Liang Tao
Ling Wang
Xin Yang
Rui-Zhe Zhou
Zi-Xiong Yang
Joint Resource Allocation for Multiuser Opportunistic Beamforming Systems with OFDM-NOMA
Entropy
opportunistic beamforming
multiuser
OFDM
NOMA
spectrum efficiency
author_facet Wen-Bin Sun
Ming-Liang Tao
Ling Wang
Xin Yang
Rui-Zhe Zhou
Zi-Xiong Yang
author_sort Wen-Bin Sun
title Joint Resource Allocation for Multiuser Opportunistic Beamforming Systems with OFDM-NOMA
title_short Joint Resource Allocation for Multiuser Opportunistic Beamforming Systems with OFDM-NOMA
title_full Joint Resource Allocation for Multiuser Opportunistic Beamforming Systems with OFDM-NOMA
title_fullStr Joint Resource Allocation for Multiuser Opportunistic Beamforming Systems with OFDM-NOMA
title_full_unstemmed Joint Resource Allocation for Multiuser Opportunistic Beamforming Systems with OFDM-NOMA
title_sort joint resource allocation for multiuser opportunistic beamforming systems with ofdm-noma
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2021-06-01
description Opportunistic beamforming (OBF) is an effective technique to improve the spectrum efficiencies (SEs) of multiple-input-multiple-output (MIMO) systems, which can obtain multiuser diversity gains with both low computation complexity and feedback information. To serve multiple users simultaneously, many multiple-access schemes have been researched in OBF. However, for most of the multiple-access schemes, the SEs are not satisfactory. To further improve the SE, this paper proposes a downlink multiuser OBF system, where both orthogonal frequency division multiplexing (OFDM) and non-orthogonal multiple-access (NOMA) methods are applied. The closed-form expressions of the equivalent channels and SE are derived in frequency selective fading channels. Then, an optimization problem is formulated to maximize the SE, although the optimization problem is non-convex and hard to solve. To obtain the solution, we divide the optimization problem into two suboptimal issues, and then a joint iterative algorithm is applied. In the proposed optimization scheme, the subcarrier mapping <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϑ</mi></semantics></math></inline-formula>, user pairing <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>k</mi><msub><mi>n</mi><mi>c</mi></msub></msub></semantics></math></inline-formula> and allocated power <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>P</mi><msub><mi>k</mi><msub><mi>n</mi><mi>c</mi></msub></msub></msub></semantics></math></inline-formula> are determined to maximize spectrum efficiency (SE) and reduce bit error ratio (BER). According to numerical results, the proposed method achieves approximately 5 dB gain on both SE and BER, compared to the existing beamforming methods with low feedback information. Moreover, the SE of the proposed method is approximately 2 (bps/Hz) higher than sparse code multiple-access (SCMA), when the number of waiting users and the ratio of transmit power to noise variance are respectively 10 and 20 dB. It is indicated that the proposed scheme can achieve high and low BER with the limited feedback and computation complexity, regardless of the transmit power and the number of waiting users.
topic opportunistic beamforming
multiuser
OFDM
NOMA
spectrum efficiency
url https://www.mdpi.com/1099-4300/23/7/809
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