{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T16:31:43Z","timestamp":1778344303936,"version":"3.51.4"},"reference-count":28,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2016,9,22]],"date-time":"2016-09-22T00:00:00Z","timestamp":1474502400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"European Comission H2020 Program","award":["671650"],"award-info":[{"award-number":["671650"]}]},{"name":"Ministerio de Economia y Competitividad, Spain","award":["TEC2014-60258-C2-1-R"],"award-info":[{"award-number":["TEC2014-60258-C2-1-R"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The use of massive multiple-input multiple-output (MIMO) techniques for communication at millimeter-Wave (mmW) frequency bands has become a key enabler to meet the data rate demands of the upcoming fifth generation (5G) cellular systems. In particular, analog and hybrid beamforming solutions are receiving increasing attention as less expensive and more power efficient alternatives to fully digital precoding schemes. Despite their proven good performance in simple setups, their suitability for realistic cellular systems with many interfering base stations and users is still unclear. Furthermore, the performance of massive MIMO beamforming and precoding methods are in practice also affected by practical limitations and hardware constraints. In this sense, this paper assesses the performance of digital precoding and analog beamforming in an urban cellular system with an accurate mmW channel model under both ideal and realistic assumptions. The results show that analog beamforming can reach the performance of fully digital maximum ratio transmission under line of sight conditions and with a sufficient number of parallel radio-frequency (RF) chains, especially when the practical limitations of outdated channel information and per antenna power constraints are considered. This work also shows the impact of the phase shifter errors and combiner losses introduced by real phase shifter and combiner implementations over analog beamforming, where the former ones have minor impact on the performance, while the latter ones determine the optimum number of RF chains to be used in practice.<\/jats:p>","DOI":"10.3390\/s16101555","type":"journal-article","created":{"date-parts":[[2016,9,22]],"date-time":"2016-09-22T09:59:55Z","timestamp":1474538395000},"page":"1555","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Performance Evaluation of Analog Beamforming with Hardware Impairments for mmW Massive MIMO Communication in an Urban Scenario"],"prefix":"10.3390","volume":"16","author":[{"given":"Sonia","family":"Gimenez","sequence":"first","affiliation":[{"name":"iTEAM Research Institute, Universitat Polit\u00e8cnica de Val\u00e8ncia, Valencia 46022, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sandra","family":"Roger","sequence":"additional","affiliation":[{"name":"iTEAM Research Institute, Universitat Polit\u00e8cnica de Val\u00e8ncia, Valencia 46022, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paolo","family":"Baracca","sequence":"additional","affiliation":[{"name":"Nokia Bell Labs, Stuttgart 70435, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7781-557X","authenticated-orcid":false,"given":"David","family":"Mart\u00edn-Sacrist\u00e1n","sequence":"additional","affiliation":[{"name":"iTEAM Research Institute, Universitat Polit\u00e8cnica de Val\u00e8ncia, Valencia 46022, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8664-6408","authenticated-orcid":false,"given":"Jose","family":"Monserrat","sequence":"additional","affiliation":[{"name":"iTEAM Research Institute, Universitat Polit\u00e8cnica de Val\u00e8ncia, Valencia 46022, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Volker","family":"Braun","sequence":"additional","affiliation":[{"name":"Nokia Bell Labs, Stuttgart 70435, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hardy","family":"Halbauer","sequence":"additional","affiliation":[{"name":"Nokia Bell Labs, Stuttgart 70435, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,9,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Monserrat, J.F., Mange, G., Braun, V., Tullberg, H., Zimmermann, G., and Bulakci, O. (2015). METIS Research Advances towards the 5G Mobile and Wireless System Definition. EURASIP J. Wirel. Commun. Netw., 2015.","DOI":"10.1186\/s13638-015-0302-9"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1109\/MCOM.2014.6736761","article-title":"Massive MIMO for Next Generation Wireless Systems","volume":"52","author":"Larsson","year":"2014","journal-title":"IEEE Commun. Mag."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1109\/JSTSP.2016.2523924","article-title":"An Overview of Signal Processing Techniques for Millimeter Wave MIMO Systems","volume":"10","author":"Heath","year":"2016","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1109\/MCOM.2014.6979962","article-title":"MIMO for Millimeter-Wave Wireless Communications: Beamforming, Spatial Multiplexing, or both?","volume":"52","author":"Sun","year":"2014","journal-title":"IEEE Commun. Mag."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1164","DOI":"10.1109\/JSAC.2014.2328154","article-title":"Millimeter Wave Channel Modeling and Cellular Capacity Evaluation","volume":"32","author":"Akdeniz","year":"2014","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1109\/MCOM.2014.6894453","article-title":"Millimeter-Wave Massive MIMO: The Next Wireless Revolution?","volume":"52","author":"Swindlehurst","year":"2014","journal-title":"IEEE Commun. Mag."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1109\/ACCESS.2015.2514261","article-title":"Hybrid MIMO Architectures for Millimeter Wave Communications: Phase Shifters or Switches?","volume":"4","author":"Rusu","year":"2016","journal-title":"IEEE Access"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1499","DOI":"10.1109\/TWC.2014.011714.130846","article-title":"Spatially Sparse Precoding in Millimeter Wave MIMO Systems","volume":"13","author":"Rajagopal","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"831","DOI":"10.1109\/JSTSP.2014.2334278","article-title":"Channel Estimation and Hybrid Precoding for Millimeter Wave Cellular Systems","volume":"8","author":"Alkhateeb","year":"2014","journal-title":"IEEE J. Sel. Top. Signal Process."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Vook, F., Ghosh, A., and Thomas, T. (2014, January 1\u20136). MIMO and Beamforming Solutions for 5G Technology. Proceedings of the IEEE MTT-S International Microwave Symposium (IMS), Tampa, FL, USA.","DOI":"10.1109\/MWSYM.2014.6848613"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"6481","DOI":"10.1109\/TWC.2015.2455980","article-title":"Limited Feedback Hybrid Precoding for Multi-User Millimeter Wave Systems","volume":"14","author":"Alkhateeb","year":"2015","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1109\/MCOM.2014.6736750","article-title":"Millimeter-Wave Beamforming as an Enabling Technology for 5G Cellular Communications: Theoretical Feasibility and Prototype Results","volume":"52","author":"Roh","year":"2014","journal-title":"IEEE Commun. Mag."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Gimenez, S., Roger, S., Mart\u00edn-Sacrist\u00e1n, D., Monserrat, J.F., Baracca, P., Braun, V., and Halbauer, H. (2016, January 4\u20137). Performance of Hybrid Beamforming for mmW Multi-antenna Systems in Dense Urban Scenarios. Proceedings of the IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), Valencia, Spain.","DOI":"10.1109\/PIMRC.2016.7794692"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Somjit, N., Stemme, G., and Oberhammer, J. (2009, January 28\u201329). Phase Error and Nonlinearity Investigation of Millimeter-Wave MEMS 7-stage Dielectric-block Phase Shifters. Proceedings of the Microwave Integrated Circuits Conference (EuMIC), Rome, Italy.","DOI":"10.23919\/EUMC.2009.5296269"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1224","DOI":"10.1109\/TMTT.2013.2244226","article-title":"60-GHz 5-bit Phase Shifter With Integrated VGA Phase-Error Compensation","volume":"61","author":"Li","year":"2013","journal-title":"IEEE Trans. Microwave Theory Tech."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Garcia-Rodriguez, A., Venkateswaran, V., Rulikowski, P., and Masouros, C. (2016). Hybrid Analog-Digital Precoding Revisited under Realistic RF Modeling.","DOI":"10.1109\/LWC.2016.2598777"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Bj\u00f6rnson, E., Matthaiou, M., and Debbah, M. (2014, January 4\u20139). Massive MIMO Systems with Hardware-Constrained Base Stations. Proceedings of the International Conference on Acoustics, Speech and Signal Processing (ICASSP), Florence, Italy.","DOI":"10.1109\/ICASSP.2014.6854179"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1059","DOI":"10.1109\/TCOMM.2013.012913.110827","article-title":"Per-antenna Constant Envelope Precoding for Large Multi-User MIMO Systems","volume":"61","author":"Mohammed","year":"2013","journal-title":"IEEE Trans. Commun."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1102","DOI":"10.1109\/TCOMM.2003.814195","article-title":"Equal Gain Transmission in Multiple-Input Multiple-Output Wireless Systems","volume":"51","author":"Love","year":"2003","journal-title":"IEEE Trans. Commun."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1109\/JPROC.2014.2299397","article-title":"Millimeter Wave Cellular Wireless Networks: Potentials and Challenges","volume":"102","author":"Rangan","year":"2014","journal-title":"Proc. IEEE"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Pi, Z., and Khan, F. (2012, January 4\u20137). A Millimeter-Wave Massive MIMO System for Next Generation Mobile Broadband. Proceedings of the Asilomar Conference on Signals, Systems and Computers (ASILOMAR), Pacific Grove, CA, USA.","DOI":"10.1109\/ACSSC.2012.6489100"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Fischer, R.F.H. (2002). Precoding and Signal Shaping for Digital Transmission, John Wiley and Sons, Inc.","DOI":"10.1002\/0471439002"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1109\/JSAC.2013.130206","article-title":"Performance of Conjugate and Zero-Forcing Beamforming in Large-Scale Antenna Systems","volume":"31","author":"Yang","year":"2013","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Thomas, T.A., Nguyen, H.C., MacCartney, G.R., and Rappaport, T.S. (2014, January 14\u201317). 3D mmWave Channel Model Proposal. Proceedings of the IEEE Vehicular Technology Conference (VTC Fall), Vancouver, BC, Canada.","DOI":"10.1109\/VTCFall.2014.6965800"},{"key":"ref_25","unstructured":"ITU-R (2009). Guidelines for Evaluation of Radio Interface Technologies for IMT-Advanced, ITU. Technical Report M.2135-1."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Zhang, S., Zhang, R., and Lim, T. (2014, January 3\u20135). Massive MIMO with Per-Antenna Power Constraint. Proceedings of the IEEE Global Conference on Signal and Information Processing (GlobalSIP), Atlanta, GA, USA.","DOI":"10.1109\/GlobalSIP.2014.7032196"},{"key":"ref_27","unstructured":"Bakr, O., and Johnson, M. (2009). University of California at Berkeley. Technical Report UCB\/EECS-2009-1, Electrical Engineering and Computer Sciences."},{"key":"ref_28","unstructured":"Pozar, D.M. (2012). Microwave Engineering (Chapter 7), John Wiley and Sons, Inc."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/10\/1555\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:31:29Z","timestamp":1760211089000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/10\/1555"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,22]]},"references-count":28,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2016,10]]}},"alternative-id":["s16101555"],"URL":"https:\/\/doi.org\/10.3390\/s16101555","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9,22]]}}}