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Special featureRadio-frequency chain selection for energy and spectral efficiency maximization in hybrid beamforming under hardware imperfections
Published:23 December 2020https://doi.org/10.1098/rspa.2020.0451
Abstract
The next-generation wireless communications require reduced energy consumption, increased data rates and better signal coverage. The millimetre-wave frequency spectrum above 30 GHz can help fulfil the performance requirements of the next-generation mobile broadband systems. Multiple-input multiple-output technology can provide performance gains to help mitigate the increased path loss experienced at millimetre-wave frequencies compared with microwave bands. Emerging hybrid beamforming architectures can reduce the energy consumption and hardware complexity with the use of fewer radio-frequency (RF) chains. Energy efficiency is identified as a key fifth-generation metric and will have a major impact on the hybrid beamforming system design. In terms of transceiver power consumption, deactivating parts of the beamformer structure to reduce power typically leads to significant loss of spectral efficiency. Our aim is to achieve the highest energy efficiency for the millimetre-wave communications system while mitigating the resulting loss in spectral efficiency. To achieve this, we propose an optimal selection framework which activates specific RF chains that amplify the digitally beamformed signals with the analogue beamforming network. Practical precoding is considered by including the effects of user interference, noise and hardware impairments in the system modelling.
Footnotes
References
- 1.
Chih-Lin I, Han S, Xu Z, Sun Q, Pan Z . 20165G: rethink mobile communications for 2020+. Phil. Trans. R. Soc. A 374, 20140432. (doi:10.1098/rsta.2014.0432) Link, ISI, Google Scholar - 2. Cisco Visual Networking Index Forecast, 2017–22. See https://tinyurl.com/yb2876nv (accessed 14 December 2020). Google Scholar
- 3. Ericsson Mobility Report, November 2018. See https://tinyurl.com/y32m75ty (accessed 14 December 2020). Google Scholar
- 4. NGMN 5G White Paper, 2015. See https://tinyurl.com/y99g96qd (accessed 14 December 2020). Google Scholar
- 5. Networld White Paper for Research Beyond 5G, 2015. See https://tinyurl.com/y7ww9oe2 (accessed 14 December 2020). Google Scholar
- 6.
Pi Z, Khan F . 2011An introduction to millimeter-wave mobile broadband systems. IEEE Commun. Mag. 49, 101–107. (doi:10.1109/MCOM.2011.5783993) Crossref, ISI, Google Scholar - 7.
Rangan S, Rappaport TS, Erkip E . 2014Millimeter-wave cellular wireless networks: potentials and challenges. Proc. IEEE 102, 366–385. (doi:10.1109/JPROC.2014.2299397) Crossref, ISI, Google Scholar - 8. IEEE 5G and Beyond Technology Roadmap Whitepaper, 2017. See https://tinyurl.com/y3w4gm57 (accessed 14 December 2020). Google Scholar
- 9.
Peng B, Guan K, Kuter A, Rey S, Patzold M, Kuerner T . 2020Channel modeling and system concepts for future terahertz communications: getting ready for advances beyond 5G. IEEE Veh. Technol. Mag. 15, 136–143. (doi:10.1109/MVT.2020.2977014) Crossref, ISI, Google Scholar - 10.
Zhang X, Molisch AF, Kung S-Y . 2005Variable-phase-shift-based RF-baseband codesign for MIMO antenna selection. IEEE Trans. Signal Process. 53, 4091–4103. (doi:10.1109/TSP.2005.857024) Crossref, ISI, Google Scholar - 11.
Ahmadi-Shokouh J, Jamali SH, Safavi-Naeini S . 2009Optimal receive soft antenna selection for MIMO interference channels. IEEE Trans. Wireless Commun. 8, 5893–5903. (doi:10.1109/TWC.2009.12.081029) Crossref, ISI, Google Scholar - 12.
Ayach OE, Rajagopal S, Abu-Surra S, Pi Z, Heath RW . 2014Spatially sparse precoding in millimeter wave MIMO systems. IEEE Trans. Wireless Commun. 13, 1499–1513. (doi:10.1109/TWC.2014.011714.130846) Crossref, ISI, Google Scholar - 13.
Sohrabi F, Yu W . 2016Hybrid digital and analog beamforming design for large-scale antenna arrays. IEEE J. Sel. Topics Signal Process. 10, 501–513. (doi:10.1109/JSTSP.2016.2520912) Crossref, ISI, Google Scholar - 14.
Heath RW, Gonzalez-Prelcic N, Rangan S, Roh W, Sayeed AM . 2016An overview of signal processing techniques for millimeter wave MIMO systems. IEEE J. Sel. Topics Signal Process. 10, 436–453. (doi:10.1109/JSTSP.2016.2523924) Crossref, ISI, Google Scholar - 15.
Ahmed I, Khammari H, Shahid A, Musa A, Kim KS, De Poorter E, Moerman I . 2018A survey on hybrid beamforming techniques in 5G: architecture and system model perspectives. IEEE Commun. Surv. Tutor. 20, 3060–3097. (doi:10.1109/COMST.2018.2843719) Crossref, ISI, Google Scholar - 16.
Yu X, Shen J, Zhang J, Letaief KB . 2016Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems. IEEE J. Sel. Topics Signal Process. 10, 485–500. (doi:10.1109/JSTSP.2016.2523903) Crossref, ISI, Google Scholar - 17.
Lin C, Li GY . 2016Energy-efficient design of indoor mmWave and Sub-THz systems with antenna arrays. IEEE Trans. Wireless Commun. 15, 4660–4672. (doi:10.1109/TWC.2016.2543733) ISI, Google Scholar - 18.
Tsinos CG, Maleki S, Chatzinotas S, Ottersten B . 2017On the energy-efficiency of hybrid analog-digital transceivers for single- and multi-carrier large antenna array systems. IEEE J. Sel. Areas Commun. 35, 1980–1995. (doi:10.1109/JSAC.2017.2720918) Crossref, ISI, Google Scholar - 19.
Gao X, Dai L, Han S, Chih-lin I, Heath RW . 2016Energy-efficient hybrid analog and digital precoding for mmWave MIMO systems with large antenna arrays. IEEE J. Sel. Areas Commun. 34, 998–1009. (doi:10.1109/JSAC.2016.2549418) Crossref, ISI, Google Scholar - 20.
Vlachos E, Kaushik A, Thompson JS . 2018Energy efficient transmitter with low resolution DACs for massive MIMO with partially connected hybrid architecture. In Proc. IEEE Vehicular Technology Conf. (VTC Spring), Porto, Portugal, 3–6 June 2018. Piscataway, NJ: IEEE. Google Scholar - 21.
Mendez-Rial R, Rusu C, Gonzalez-Prelcic N, Alkhateeb A, Heath RW . 2016Hybrid MIMO architectures for millimeter wave communications: phase shifters or switches?IEEE Access 4, 247–267. (doi:10.1109/ACCESS.2015.2514261) Crossref, ISI, Google Scholar - 22.
Payami S, Ghoraishi M, Dianati M, Sellathurai M . 2018Hybrid beamforming with a reduced number of phase shifters for massive MIMO systems. IEEE Trans. Veh. Technol. 67, 4843–4851. (doi:10.1109/TVT.2018.2807921) Crossref, ISI, Google Scholar - 23.
Yu Q, Han C, Bai L, Choi J, Shen X . 2018Low-complexity multiuser detection in millimeter-wave systems based on opportunistic hybrid beamforming. IEEE Trans. Veh. Technol. 67, 10 129–10 133. (doi:10.1109/TVT.2018.2864615) Crossref, ISI, Google Scholar - 24.
Brady J, Behdad N, Sayeed AM . 2013Beamspace MIMO for millimeter-wave communications: system architecture, modeling, analysis, and measurements. IEEE Trans. Antennas Propag. 61, 3814–3827. (doi:10.1109/TAP.2013.2254442) Crossref, ISI, Google Scholar - 25.
Amadori PV, Masouros C . 2015Low RF-complexity millimeter-wave beamspace-MIMO systems by beam selection. IEEE Trans. Commun. 63, 2212–2223. (doi:10.1109/TCOMM.2015.2431266) Crossref, ISI, Google Scholar - 26.
Babar Abbasi MA, Tataria H, Fusco VF, Matthaiou M . 2018On the impact of spillover losses in 28 GHz Rotman lens arrays for 5G applications. In Proc. 2018 IEEE MTT-S International Microwave Workshop Series on 5G Hardware and System Technologies (IMWS-5G), Dublin, Ireland, 30–31 August 2018, pp. 1–3. Piscataway, NJ: IEEE. Google Scholar - 27.
Moghadam NN, Fodor G, Bengtsson M, Love DJ . 2018On the energy efficiency of MIMO hybrid beamforming for millimeter-wave systems with nonlinear power amplifiers. IEEE Trans. Wireless Commun. 17, 7208–7221. (doi:10.1109/TWC.2018.2865786) Crossref, ISI, Google Scholar - 28.
Murmann B . 2015The race for the extra decibel: a brief review of current ADC performance trajectories. IEEE Solid-State Circuits Mag. 7, 58–66. (doi:10.1109/MSSC.2015.2442393) Crossref, Google Scholar - 29.
Orhan O, Erkip E, Rangan S . 2015Low power analog-to-digital conversion in millimeter wave systems: impact of resolution and bandwidth on performance. In Proc. IEEE Information Theory Appl. Workshop, San Diego, CA, 1–6 February 2015, pp. 191–198. Piscataway, NJ: IEEE. Google Scholar - 30.
Fan L, Jin S, Wen C, Zhang H . 2015Uplink achievable rate for massive MIMO systems with low-resolution ADC. IEEE Commun. Lett. 19, 2186–2189. (doi:10.1109/LCOMM.2015.2494600) Crossref, ISI, Google Scholar - 31.
Zhang J, Dai L, He Z, Jin S, Li X . 2017Performance analysis of mixed-ADC massive MIMO systems over Rician fading channels. IEEE J. Sel. Areas Commun. 35, 1327–1338. (doi:10.1109/JSAC.2017.2687278) Crossref, ISI, Google Scholar - 32.
Kaushik A, Vlachos E, Thompson J, Perelli A . 2018Efficient channel estimation in millimeter wave hybrid MIMO systems with low resolution ADCs. In Eurasip EUSIPCO, Rome, Italy, 3–7 September 2018, pp. 1825–1829. Piscataway, NJ: IEEE. Google Scholar - 33.
Bjornson E, Sanguinetti L, Hoydis J, Debbah M . 2015Optimal design of energy-efficient multi-user MIMO systems: is massive MIMO the answer?IEEE Trans. Wireless Commun. 14, 3059–3075. (doi:10.1109/TWC.2015.2400437) Crossref, ISI, Google Scholar - 34.
Zi R, Ge X, Thompson J, Wang C, Wang H, Han T . 2016Energy efficiency optimization of 5G radio frequency chain systems. IEEE J. Sel. Areas Commun. 34, 758–771. (doi:10.1109/JSAC.2016.2544579) Crossref, ISI, Google Scholar - 35.
Kaushik A, Thompson J, Vlachos E, Tsinos C, Chatzinotas S . 2019Dynamic RF chain selection for energy efficient and low complexity hybrid beamforming in millimeter wave MIMO systems. IEEE Trans. Green Commun. Netw. 3, 886–900. (doi:10.1109/TGCN.2019.2931613) Crossref, Google Scholar - 36.
Andrews JG, Buzzi S, Choi W, Hanly SV, Lozano A, Soong AC, Zhang JC . 2014What will 5G be?IEEE J. Sel. Areas Commun. 32, 1065–1082. (doi:10.1109/JSAC.2014.2328098) Crossref, ISI, Google Scholar - 37.
Rappaport TS et al.2013Millimeter wave mobile communications for 5G cellular: it will work!IEEE Access 1, 335–349. (doi:10.1109/ACCESS.2013.2260813) Crossref, ISI, Google Scholar - 38.
Boccardi F, Heath RW, Lozano A, Marzetta TL, Popovski P . 2014Five disruptive technology directions for 5G. IEEE Commun. Mag. 52, 74–80. (doi:10.1109/MCOM.2014.6736746) Crossref, ISI, Google Scholar - 39.
Lu JS, Steinbach D, Cabrol P, Pietraski P . 2012Modeling human blockers in millimeter wave radio links. ZTE Commun. 10, 23–28. Google Scholar - 40.
Alejos AV, Sanchez MG, Cuinas I . 2008Measurement and analysis of propagation mechanisms at 40 GHz: viability of site shielding forced by obstacles. IEEE Trans. Veh. Technol. 57, 3369–3380. (doi:10.1109/TVT.2008.920052) Crossref, ISI, Google Scholar - 41.
Zhao H et al.201328 GHz millimeter wave cellular communication measurements for reflection and penetration loss in and around buildings in New York City. In IEEE Int. Conf. Commun. (ICC), Budapest, Hungary, 9–13 June 2013, pp. 5163–5167. Piscataway, NJ: IEEE. Google Scholar - 42.
Akdeniz MR, Liu Y, Samimi MK, Sun S, Rangan S, Rappaport TS, Erkip E . 2014Millimeter wave channel modeling and cellular capacity evaluation. IEEE J. Sel. Areas Commun. 32, 1164–1179. (doi:10.1109/JSAC.2014.2328154) Crossref, ISI, Google Scholar - 43.
Zappone A, Jorswieck E . 2014Energy efficiency in wireless networks via fractional programming theory. Foundations and Trends® in Communications and Information Theory11, 185–396. (doi:10.1561/0100000088) Google Scholar - 44.
Dinkelbach W . 1967On nonlinear fractional programming. Manage. Sci. 13, 492–498. (doi:10.1287/mnsc.13.7.492) Crossref, Google Scholar - 45.
Yang X, Matthaiou M, Yang J, Wen C, Gao F, Jin S . 2019Hardware-constrained millimeter-wave systems for 5G: challenges, opportunities, and solutions. IEEE Commun. Mag. 57, 44–50. (doi:10.1109/MCOM.2018.1701050) Crossref, ISI, Google Scholar - 46.
Artiga X, Devillers B, Perruisseau-Carrier J . 2012Mutual coupling effects in multi-user massive MIMO base stations. In Proc. of the 2012 IEEE Int. Symp. on Antennas and Propagation, Chicago, IL, 8–14 July 2012, pp. 1–2. Piscataway, NJ: IEEE. Google Scholar - 47.
Wang M, Gao F, Shlezinger N, Flanagan MF, Eldar YC . 2020A block sparsity based estimator for mmWave massive MIMO channels with beam squint. IEEE Trans. Signal Process. 68, 49–64. (doi:10.1109/TSP.2019.2956677) Crossref, ISI, Google Scholar - 48.
Palomar D, Eldar Y . 2009Convex optimization in signal processing and communications. Cambridge, UK: Cambridge University Press. Crossref, Google Scholar - 49.
Crouzeix JP, Ferland JA . 1991Algorithms for generalized fractional programming. Math. Program. 52, 191–207. (doi:10.1007/BF01582887) Crossref, ISI, Google Scholar - 50.
Forenza A, Love DJ, Heath RW . 2007Simplified spatial correlation models for clustered MIMO channels with different array configurations. IEEE Trans. Veh. Technol. 56, 1924–1934. (doi:10.1109/TVT.2007.897212) Crossref, ISI, Google Scholar - 51.
Li J, Xiao L, Xu X, Su X, Zhou S . 2017Energy-efficient Butler-matrix-based hybrid beamforming for multiuser mmWave MIMO system. Sci. China Inf. Sci. 60, 1–10. (doi:10.1007/s11432-016-0640-5) Crossref, Google Scholar
