Skip to main content
Log in

Deep unfolding for energy-efficient resource allocation in mmWave networks with multi-connectivity

  • Published:
Annals of Telecommunications Aims and scope Submit manuscript

Abstract

In millimeter-wave (mmWave) communications, multi-connectivity can enhance the communication capacity while at the cost of increased power consumption. In this paper, we investigate a deep-unfolding-based approach for joint user association and power allocation to maximize the energy efficiency of mmWave networks with multi-connectivity. The problem is formulated as a mixed integer nonlinear fractional optimization problem. First, we develop a three-stage iterative algorithm to achieve an upper bound of the original problem. Then, we unfold the iterative algorithm with a convolutional neural network (CNN)-based accelerator and trainable parameters. Moreover, we propose a CNN-aided greedy algorithm to obtain a feasible solution. The simulation results show that the proposed algorithm can achieve good performance and strong robustness but with much reduced computational complexity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Kumar D, Kaleva J, Tolli A (2019) Rate and reliability trade-off for mmWave communication via multi-point connectivity. In: 2019 IEEE Global Communications Conference (GLOBECOM), pp 1–6 IEEE. https://doi.org/10.1109/GLOBECOM38437.2019.9014207

  2. Tatino C, Malanchini I, Pappas N, Yuan D (2018) Maximum throughput scheduling for multi-connectivity in millimeter-wave networks. In: 2018 16th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), pp 1–6 IEEE. https://doi.org/10.23919/WIOPT.2018.8362891

  3. Giordani M, Mezzavilla M, Rangan S, Zorzi M (2016) Multi-connectivity in 5G mmWave cellular networks. In: 2016 Mediterranean Ad Hoc Networking Workshop (Med-Hoc-Net), pp 1–7 IEEE. https://doi.org/10.1109/MedHocNet.2016.7528494

  4. Saimler M, Coleri S (2020) Multi-connectivity based uplink/downlink decoupled energy efficient user association in 5G heterogenous CRAN. IEEE Commun Lett 24(4):858–862. https://doi.org/10.1109/LCOMM.2020.2967050

    Article  Google Scholar 

  5. Chen Q, Yu G, Yin R, Li GY (2015) Joint user association and resource allocation for energy-efficient multi-stream aggregation. In: 2015 IEEE International Conference on Communications (ICC), pp 2482–2487 IEEE. https://doi.org/10.1109/ICC.2015.7248697

  6. Zhang H, Huang S, Jiang C, Long K, Leung VC, Poor HV (2017) Energy efficient user association and power allocation in millimeter-wave-based ultra dense networks with energy harvesting base stations. IEEE Journal on Selected Areas in Communications 35(9):1936–1947. https://doi.org/10.1109/JSAC.2017.2720898

    Article  Google Scholar 

  7. Bethanabhotla D, Bursalioglu OY, Papadopoulos HC, Caire G (2014) User association and load balancing for cellular massive MIMO. In: 2014 Information Theory and Applications Workshop (ITA), pp 1–10 IEEE. https://doi.org/10.1109/ITA.2014.6804284

  8. Ye Q, Rong B, Chen Y, Al-Shalash M, Caramanis C, Andrews JG (2013) User association for load balancing in heterogeneous cellular networks. IEEE Trans Wirel Commun 12(6):2706–2716. https://doi.org/10.1109/TWC.2013.040413.120676

    Article  Google Scholar 

  9. Chen A, Li S, Jin K, Tang Z (2022) Energy-efficient multi-connectivity enabled user association and downlink power allocation in mmWave networks. In: 2022 Wireless Telecommunications Symposium (WTS), pp 1–6 IEEE. https://doi.org/10.1109/WTS53620.2022.9768175

  10. Beschastnyi V, Ostrikova D, Moltchanov D, Gaidamaka Y, Koucheryavy Y, Samouylov K (2022) Balancing latency and energy efficiency in mmWave 5G NR systems with multiconnectivity. IEEE Commun Lett. https://doi.org/10.1109/LCOMM.2022.3175663

    Article  Google Scholar 

  11. Poirot V, Ericson M, Nordberg M, Andersson K (2020) Energy efficient multi-connectivity algorithms for ultra-dense 5G networks. Wirel Netw 26(3):2207–2222. https://doi.org/10.1007/s11276-019-02056-w

    Article  Google Scholar 

  12. 3GPP (2014) Study on small cell enhancements for E-UTRA and E-UTRAN; higher layer aspects. Technical report (TR) 36.842, 3rd Generation Partnership Project (3GPP) Version 12.0.0. (January 2014) https://portal.3gpp.org/desktopmodules/Specifications/SpecificationDetails.aspx?specificationId=2543

  13. Balatsoukas-Stimming A, Studer C (2019) Deep unfolding for communications systems: a survey and some new directions. In: 2019 IEEE International Workshop on Signal Processing Systems (SiPS), pp 266–271 IEEE. https://doi.org/10.1109/SiPS47522.2019.9020494

  14. Ito D, Takabe S, Wadayama T (2019) Trainable ISTA for sparse signal recovery. IEEE Transactions on Signal Processing 67(12):3113–3125. https://doi.org/10.1109/TSP.2019.2912879

    Article  MathSciNet  MATH  Google Scholar 

  15. Khobahi S, Naimipour N, Soltanalian M, Eldar YC (2019) Deep signal recovery with one-bit quantization. In: ICASSP 2019-2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) pp 2987–2991 IEEE. https://doi.org/10.1109/ICASSP.2019.8683876

  16. Kurzo Y, Burg A, Balatsoukas-Stimming A (2018) Design and implementation of a neural network aided self-interference cancellation scheme for full-duplex radios. In: 2018 52nd Asilomar Conference on Signals, Systems, and Computers, pp 589–593 IEEE. https://doi.org/10.1109/ACSSC.2018.8645295

  17. Un M-W, Shao M, Ma W-K, Ching P (2019) Deep MIMO detection using ADMM unfolding. In: 2019 IEEE Data Science Workshop (DSW), pp 333–337 IEEE. https://doi.org/10.1109/DSW.2019.8755566

  18. Hu Q, Cai Y, Shi Q, Xu K, Yu G, Ding Z (2020) Iterative algorithm induced deep-unfolding neural networks: precoding design for multiuser MIMO systems. IEEE Trans Wirel Commun 20(2):1394–1410. https://doi.org/10.1109/TWC.2020.3033334

    Article  Google Scholar 

  19. Zhang G, Fu X, Hu Q, Cai Y, Yu G (2021) Hybrid precoding design based on dual-layer deep-unfolding neural network. In: 2021 IEEE 32nd Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), pp 678–683 IEEE. https://doi.org/10.1109/PIMRC50174.2021.9569633

  20. Hu Q, Liu Y, Cai Y, Yu G (2021) Deep learning based joint beam selection and precoding design for mmWave systems with lens arrays. In: 2021 IEEE 32nd Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), pp 591–597 IEEE. https://doi.org/10.1109/PIMRC50174.2021.9569540

  21. Chowdhury A, Verma G, Rao C, Swami A, Segarra S (2021) Efficient power allocation using graph neural networks and deep algorithm unfolding. In: ICASSP 2021-2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp 4725–4729 IEEE. https://doi.org/10.1109/ICASSP39728.2021.9415106

  22. Li B, Verma G, Segarra S (2023) Graph-based algorithm unfolding for energy-aware power allocation in wireless networks. IEEE Trans Wirel Commun 22(2):1359–1373. https://doi.org/10.1109/TWC.2022.3204486

    Article  Google Scholar 

  23. Liu Y, Fang X, Xiao M, Mumtaz S (2018) Decentralized beam pair selection in multi-beam millimeter-wave networks. IEEE Trans Wirel Commun 66(6):2722–2737. https://doi.org/10.1109/TCOMM.2018.2800756

    Article  Google Scholar 

  24. Shokri-Ghadikolaei H, Fischione C, Fodor G, Popovski P, Zorzi M (2015) Millimeter wave cellular networks: a MAC layer perspective. IEEE Trans Wirel Commun 63(10):3437–3458. https://doi.org/10.1109/TCOMM.2015.2456093

    Article  Google Scholar 

  25. Pan C, Liu R, Yu G (2021) Joint user association and resource allocation for mmWave communication: a neural network approach. Journal of Communications and Information Networks 6(2):125–133. https://doi.org/10.23919/JCIN.2021.9475122

  26. Chen Q, Yu G, Yin R, Li GY (2015) Energy-efficient user association and resource allocation for multistream carrier aggregation. IEEE Trans Veh Technol 65(8):6366–6376. https://doi.org/10.1109/TVT.2015.2472558

    Article  Google Scholar 

  27. Jong Y (2012) An efficient global optimization algorithm for nonlinear sum-of-ratios problem. Optimization Online, 1–21

  28. Papandriopoulos J, Evans JS (2009) Scale: a low-complexity distributed protocol for spectrum balancing in multiuser DSL networks. IEEE Trans Inf Theory 55(8):3711–3724. https://doi.org/10.1109/TIT.2009.2023751

    Article  MathSciNet  MATH  Google Scholar 

  29. Boyd S, Boyd SP, Vandenberghe L (2004) Convex optimization. Cambridge University Press

    Book  MATH  Google Scholar 

  30. Boyd S, Xiao L, Mutapcic A (2003) Subgradient methods. lecture notes of EE392o. Stanford University, Autumn Quarter 2004:2004–2005

    Google Scholar 

  31. Yu G, Chen Q, Yin R, Zhang H, Li GY (2015) Joint downlink and uplink resource allocation for energy-efficient carrier aggregation. IEEE Trans Wirel Commun 14(6):3207–3218. https://doi.org/10.1109/GLOCOM.2014.7037468

    Article  Google Scholar 

  32. Akdeniz MR, Liu Y, Samimi MK, Sun S, Rangan S, Rappaport TS, Erkip E (2014) Millimeter wave channel modeling and cellular capacity evaluation. IEEE journal on selected areas in communications 32(6):1164–1179. https://doi.org/10.1109/JSAC.2014.2328154

    Article  Google Scholar 

  33. Manual CU (1987) IBM ILOG CPLEX optimization studio. Version 12:1987–2018

    Google Scholar 

  34. Kingma DP, Ba J (2014) Adam: a method for stochastic optimization. arXiv preprint arXiv:1412.6980

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu Guanding.

Ethics declarations

Conflict of interest

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chongrui, P., Guanding, Y. Deep unfolding for energy-efficient resource allocation in mmWave networks with multi-connectivity. Ann. Telecommun. 78, 627–639 (2023). https://doi.org/10.1007/s12243-023-00970-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12243-023-00970-x

Keywords

Navigation