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PSO-based optimal beamforming in MmWave-NOMA systems with sparse antenna array

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Abstract

Millimeter-wave (mmWave) non-orthogonal multiple access (NOMA) is a promising transmission scheme to provide the required quality of service in the fifth generation (5G) mobile networks. NOMA improves spectral efficiency and throughput compared with orthogonal multiple access (OMA) in modern high diversity communication networks. Random beamforming deployment facilitates low latency transmission besides the reliable communication in the systems with massive connectivity. In this paper, we introduce a mmWave-NOMA system utilizing a sparse antenna array that substantially improves the system energy efficiency and offer low-weight, cost-effective and small-size antenna apparatus. We also introduce an optimum low complexity PSO-based algorithm to further improve the outage probability. The simulation and analysis results demonstrate 50% reduction in the outage probability in average by performing the PSO-based optimization algorithms. A comparison between the performance of PSO-based algorithm and some metaheuristic algorithms is performed. Due to the time and outage probability performances, our presented PSO-based algorithm gives better results.

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References

  • Abualigah L, Diabat A, Mirjalili S, Abd Elaziz M, Gandomi AH (2021) The arithmetic optimization algorithm. Comput Meth Appl Mech Eng 376:113609

    Article  MathSciNet  Google Scholar 

  • Bai Q (2010) Analysis of particle swarm optimization algorithm. Comput Info Sci 3(1):180

    Google Scholar 

  • Bajpai R, Kulkarni A, Malhotra G, Gupta N (2020) Outage analysis of ofdma based noma aided full-duplex cooperative d2d system. In: 2020 27th International conference on telecommunications (ICT), pp 1–5, https://doi.org/10.1109/ICT49546.2020.9239456

  • Benjebbour A, Kishiyama Y (2018) Combination of noma and mimo: Concept and experimental trials. In: 2018 25th International conference on telecommunications (ICT), IEEE, pp 433–438

  • Dai L, Wang B, Ding Z, Wang Z, Chen S, Hanzo L (2018) A survey of non-orthogonal multiple access for 5G. IEEE Commun Surv Tut 20(3):2294–2323

    Article  Google Scholar 

  • Ding Z, Poor HV (2016) Design of massive-MIMO-NOMA with limited feedback. IEEE Signal Proc Let 23(5):629–633

    Article  Google Scholar 

  • Ding Z, Adachi F, Poor HV (2016) The application of MIMO to non-orthogonal multiple access. IEEE T Wirel Commun 15(1):537–552

    Article  Google Scholar 

  • Ding Z, Fan P, Poor HV (2016) Impact of user pairing on 5G non-orthogonal multiple access. IEEE T Veh Technol 65(8):6010–6023

    Article  Google Scholar 

  • Ding Z, Fan P, Poor HV (2017) Random beamforming in millimeter-wave NOMA networks. IEEE Access 5:7667–7681

    Article  Google Scholar 

  • Ding Z, Liu Y, Choi J, Sun Q, Elkashlan M, Chin-Lin I, Poor HV (2017) Application of non-orthogonal multiple access in LTE and 5G networks. IEEE Commun Mag 55(2):185–191

    Article  Google Scholar 

  • Docomo N (2014) Docomo 5G white paper, 5G radio access: requirements, concept and technologies. White Paper, Jul

  • Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: MHS’95. Proceedings of the sixth international symposium on micro machine and human science, IEEE, pp 39–43

  • Faisal AR, Hashim F, Noordin NK, Ismail M, Jamalipour A (2016) Efficient beamforming and spectral efficiency maximization in a joint transmission system using an adaptive particle swarm optimization algorithm. Appl Soft Comput 49:759–769

    Article  Google Scholar 

  • Faramarzi A, Heidarinejad M, Mirjalili S, Gandomi AH (2020) Marine predators algorithm: a nature-inspired metaheuristic. Expert Sys Appl 152:113377

    Article  Google Scholar 

  • Ghavidel Aghdam MR, Abdolee R, Asghari Azhiri F, Mozaffari tazehkand B (2018) Random user pairing in massive-MIMO-NOMA transmission systems based on mmWave. In: Vehicular technology conference (VTC fall), 2018 IEEE 88rd

  • Hei Y, Li X, Yi K, Yang H (2009) Novel scheduling strategy for downlink multiuser mimo system: particle swarm optimization. Sci China Series F: Info Sci 52(12):2279

    MathSciNet  MATH  Google Scholar 

  • Huang W, Huang Y, Zhao R, He S, Yang L (2018) Wideband millimeter wave communication: single carrier based hybrid precoding with sparse optimization. IEEE T Veh Technol 67(10):9696–9710

    Article  Google Scholar 

  • Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN’95-international conference on neural networks, IEEE, vol 4, pp 1942–1948

  • Knievel C, Hoeher PA, Tyrrell A, Auer G (2011) Particle swarm enhanced graph-based channel estimation for mimo-ofdm. In: 2011 IEEE 73rd Vehicular technology conference (VTC Spring), IEEE, pp 1–5

  • Kusaladharma S, Zhu WP, Ajib W, Aruma Baduge GA (2021) Rate and energy efficiency improvements of massive mimo-based stochastic cellular networks with noma. IEEE Trans Green Commun Network 5(3):1467–1481

    Article  Google Scholar 

  • Kutty S, Sen D (2015) Beamforming for millimeter wave communications: an inclusive survey. IEEE Commun Surv Tutor 18(2):949–973

    Article  Google Scholar 

  • Lee G, Sung Y, Seo J (2016) Randomly-directional beamforming in millimeter-wave multiuser MISO downlink. IEEE T Wirel Commun 15(2):1086–1100

    Article  Google Scholar 

  • Lee H, Jung I, Heo J, Hong D (2021) Exploiting intentional time-domain offset in downlink multicarrier NOMA systems. IEEE Wirel Commun Lett 10(7):1577–1580. https://doi.org/10.1109/LWC.2021.3074936

    Article  Google Scholar 

  • Liu Y, Ding Z, Elkashlan M, Yuan J (2016) Nonorthogonal multiple access in large-scale underlay cognitive radio networks. IEEE T Veh Technol 65(12):10152–10157

    Article  Google Scholar 

  • Lv T, Ma Y, Zeng J, Mathiopoulos PT (2018) Millimeter-wave NOMA transmission in cellular M2M communications for internet of things. IEEE Inter Thing 5(3):1989–2000

    Article  Google Scholar 

  • Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Software 69:46–61

    Article  Google Scholar 

  • Mostafa AE, Zhou Y, Wong VW (2017) Connectivity maximization for narrowband IoT systems with NOMA. In: 2017 IEEE International conference on communications (ICC), IEEE, pp 1–6

  • Naqvi SAR, Hassan SA (2016) Combining NOMA and mmWave technology for cellular communication. In: 2016 IEEE 84th vehicular technology conference (VTC-Fall), IEEE, pp 1–5

  • Pal P, Vaidyanathan P (2010) Nested arrays: a novel approach to array processing with enhanced degrees of freedom. IEEE T Signal Proces 58(8):4167–4181

    Article  MathSciNet  Google Scholar 

  • Pal P, Vaidyanathan PP (2011) (2011) Coprime sampling and the MUSIC algorithm. Digital signal processing workshop and IEEE Signal processing education workshop (DSP/SPE). IEEE, pp 289–294

  • Saito Y, Kishiyama Y, Benjebbour A, Nakamura T, Li A, Higuchi K (2013) Non-orthogonal multiple access (NOMA) for cellular future radio access. In: 2013 IEEE 77th vehicular technology conference (VTC Spring), IEEE, pp 1–5

  • Shakeri S, Ariananda DD, Leus G (2012) Direction of arrival estimation using sparse ruler array design. In: SPAWC, pp 525–529

  • Shirvanimoghaddam M, Dohler M, Johnson SJ (2017) Massive non-orthogonal multiple access for cellular IoT: potentials and limitations. IEEE Commun Mag 55(9):55–61

    Article  Google Scholar 

  • Sohrabi F, Yu W (2016) Hybrid digital and analog beamforming design for large-scale antenna arrays. IEEE J Sel Top Signa 10(3):501–513

    Article  Google Scholar 

  • Sun Y, Ng DWK, Ding Z, Schober R (2016) (2016) Optimal joint power and subcarrier allocation for MC-NOMA systems. Global communications conference (GLOBECOM). IEEE, pp 1–6

  • Zhao L, Ng DWK, Yuan J (2017) Multi-user precoding and channel estimation for hybrid millimeter wave systems. IEEE J Sel Area Comm 35(7):1576–1590

    Article  Google Scholar 

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Correspondence to Behzad Mozaffari Tazehkand.

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This study is based on PhD thesis in university of Tabriz-Iran. B.M. Tazehkand is corresponding author and also supervisor to the thesis. He works on signal processing, multi-carrier communication systems, heuristic search algorithms and their applications on communication systems and statistic studies. F.A Azhiri is PhD student in the university of Tabriz and this article is written based on her research. Also she interested on beamforming and random beamforming in large scale and Massive MIMO systems. R. Abdolee is co-author and also is advisor to this thesis from California state Channels Islands (CSUCI) and leading the Cybersecurity and Wireless Systems Lab. During the past few years, his research resulted in several patents and inventions in addition to many interesting peer-reviewed journal publications and conference proceedings. He is currently conducting research in the area of cybersecurity and wireless communications with applications to Internet-of-Things (IoT) and the next generation of wireless communication systems.

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Azhiri, F.A., Tazehkand, B.M. & Abdolee, R. PSO-based optimal beamforming in MmWave-NOMA systems with sparse antenna array. Soft Comput 26, 10513–10526 (2022). https://doi.org/10.1007/s00500-022-06918-y

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