{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T00:05:31Z","timestamp":1777334731739,"version":"3.51.4"},"reference-count":33,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,1,28]],"date-time":"2021-01-28T00:00:00Z","timestamp":1611792000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004530","name":"Universiti Putra Malaysia","doi-asserted-by":"publisher","award":["Putra Berimpak Grant 9659400"],"award-info":[{"award-number":["Putra Berimpak Grant 9659400"]}],"id":[{"id":"10.13039\/501100004530","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In wireless network communication environments, Spectral Efficiency (SE) and Energy Efficiency (EE) are among the major indicators used for evaluating network performance. However, given the high demand for data rate services and the exponential growth of energy consumption, SE and EE continue to elicit increasing attention in academia and industries. Consequently, a study of the trade-off between these metrics is imperative. In contrast with existing works, this study proposes an efficient SE and EE trade-off algorithm for saving energy in downlink Long Term Evolution (LTE) networks to concurrently optimize SE and EE while considering battery life at the Base Station (BS). The scheme is formulated as a Multi-objective Optimization Problem (MOP) and its Pareto optimal solution is examined. In contrast with other algorithms that prolong battery life by considering the idle state of a BS, thereby increasing average delay and energy consumption, the proposed algorithm prolongs battery life by adjusting the initial and final states of a BS to minimize the average delay and the energy consumption. Similarly, the use of an omni-directional antenna to spread radio signals to the user equipment in all directions causes high interference and low spatial reuse. We propose using a directional antenna instead of an omni-directional antenna by transmitting signals in one direction which results in no or low interference and high spatial reuse. The proposed scheme has been extensively evaluated through simulation, where simulation results prove that the proposed scheme is efficiently able to decrease the average response delay, improve SE, and minimize energy consumption.<\/jats:p>","DOI":"10.3390\/sym13020211","type":"journal-article","created":{"date-parts":[[2021,1,28]],"date-time":"2021-01-28T09:03:45Z","timestamp":1611824625000},"page":"211","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Energy and Spectral Efficiency Balancing Algorithm for Energy Saving in LTE Downlinks"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1082-8069","authenticated-orcid":false,"given":"Mamman","family":"Maharazu","sequence":"first","affiliation":[{"name":"Department of Computer Science, Federal College of Education, Katsina P.M.B. 2041, Katsina State, Nigeria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8079-1791","authenticated-orcid":false,"given":"Zurina Mohd","family":"Hanapi","sequence":"additional","affiliation":[{"name":"Department of Communication Technology and Network, Universiti Putra Malaysia, Serdang 43400 UPM, Selangor D.E., Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2385-3287","authenticated-orcid":false,"given":"Mohamed A.","family":"Alrashah","sequence":"additional","affiliation":[{"name":"Department of Communication Technology and Network, Universiti Putra Malaysia, Serdang 43400 UPM, Selangor D.E., Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,28]]},"reference":[{"key":"ref_1","first-page":"306","article-title":"3GPP long term evolution: Architecture, protocols and interfaces","volume":"1","author":"Atayero","year":"2011","journal-title":"Int. J. Inf. Commun. Res."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Holma, H., and Toskala, A. (2012). LTE Advanced: 3GPP Solution for IMT-Advanced, John Wiley & Sons.","DOI":"10.1002\/9781118399439"},{"key":"ref_3","unstructured":"Tung, L.P., Wang, L.C., Hsueh, C.W., and Chang, C.J. (July, January 29). Analysis of DRX power saving with RRC states transition in LTE networks. Proceedings of the 2015 European Conference on Networks and Communications (EuCNC), Paris, France."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"4656","DOI":"10.1109\/TWC.2014.2316791","article-title":"Resource efficiency: A new paradigm on energy efficiency and spectral efficiency tradeoff","volume":"13","author":"Tang","year":"2014","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1945","DOI":"10.1002\/wcm.2469","article-title":"Tradeoff between energy efficiency and spectral efficiency in a delay constrained wireless system","volume":"15","author":"Chen","year":"2015","journal-title":"Wirel. Commun. Mob. Comput."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"670","DOI":"10.1002\/ett.2698","article-title":"Energy and spectral efficiencies trade-off with filter optimisation in multiple access interference-aware networks","volume":"26","author":"Souza","year":"2015","journal-title":"Trans. Emerg. Telecommun. Technol."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"774","DOI":"10.1109\/ACCESS.2016.2530688","article-title":"Energy efficient OFDMA networks maintaining statistical QoS guarantees for delay-sensitive traffic","volume":"4","author":"Sampaio","year":"2016","journal-title":"IEEE Access"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.comnet.2014.09.018","article-title":"Energy-efficient design of heterogeneous cellular networks from deployment to operation","volume":"78","author":"Son","year":"2015","journal-title":"Comput. Netw."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1265","DOI":"10.1109\/LCOMM.2015.2427275","article-title":"Energy-and spectral-efficiency tradeoff with alpha-fairness in downlink OFDMA systems","volume":"19","author":"Song","year":"2015","journal-title":"IEEE Commun. Lett."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1655","DOI":"10.1109\/ACCESS.2015.2479406","article-title":"Energy and spectrum efficient transmission techniques under QoS constraints toward green heterogeneous networks","volume":"3","author":"Pervaiz","year":"2015","journal-title":"IEEE Access"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1450","DOI":"10.1002\/dac.2725","article-title":"Energy spectral efficiency tradeoff in downlink OFDMA network","volume":"28","author":"Li","year":"2015","journal-title":"Int. J. Commun. Syst."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Kim, M.G., Kang, M., and Choi, J. (2008, January 10\u201312). Remaining energy-aware power management mechanism in the 802.16 e MAC. Proceedings of the Consumer Communications and Networking Conference, Las Vegas, NV, USA.","DOI":"10.1109\/ccnc08.2007.56"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Richter, F., Fehske, A.J., and Fettweis, G.P. (2009, January 20\u201323). Energy efficiency aspects of base station deployment strategies for cellular networks. Proceedings of the Vehicular Technology Conference Fall (VTC 2009-Fall), Anchorage, AK, USA.","DOI":"10.1109\/VETECF.2009.5379031"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Ling, L., Wang, T., Wang, Y., and Shi, C. (2010, January 6\u20139). Schemes of power allocation and antenna port selection in OFDM distributed antenna systems. Proceedings of the Vehicular Technology Conference Fall (VTC 2010-Fall), Ottawa, ON, Canada.","DOI":"10.1109\/VETECF.2010.5594126"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Isheden, C., and Fettweis, G.P. (2011, January 28\u201331). Energy-efficient link adaptation with transmitter CSI. Proceedings of the Wireless Communications and Networking Conference (WCNC), Cancun, Mexico.","DOI":"10.1109\/WCNC.2011.5779331"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Haider, F., Wang, C.X., Haas, H., Hepsaydir, E., and Ge, X. (2012, January 6\u20139). Energy-efficient subcarrier-and-bit allocation in multi-user OFDMA systems. Proceedings of the Vehicular Technology Conference (VTC Spring), Yokohama, Japan.","DOI":"10.1109\/VETECS.2012.6240331"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Khakurel, S., Musavian, L., and Le-Ngoc, T. (2013, January 2\u20135). Trade-off between spectral and energy efficiencies in a fading communication link. Proceedings of the Vehicular Technology Conference (VTC Spring), Dresden, Germany.","DOI":"10.1109\/VTCSpring.2013.6692789"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Coskun, C.C., and Ayanoglu, E. (2017, January 21\u201325). Energy-spectral efficiency tradeoff for heterogeneous networks with QoS constraints. Proceedings of the Communications (ICC), Paris, France.","DOI":"10.1109\/ICC.2017.7997007"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1109\/TWC.2015.2466541","article-title":"Spectral and energy efficiency trade-offs in cellular networks","volume":"15","author":"Tsilimantos","year":"2016","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"5515","DOI":"10.1007\/s11277-017-4223-2","article-title":"Energy-Spectral-Efficiency Tradeoff in Interference-Limited Wireless Networks","volume":"96","author":"Li","year":"2017","journal-title":"Wirel. Pers. Commun."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/s11277-017-4863-2","article-title":"A Joint Evaluation of Energy-Efficient Downlink Scheduling and Partial CQI Feedback for LTE Video Transmission","volume":"98","author":"Salman","year":"2018","journal-title":"Wirel. Pers. Commun."},{"key":"ref_22","unstructured":"ETSI (2020, December 21). 3GPP TS 36.814 Evolved Universal Terrestrial Radio Access (E-UTRA); Further Advancements for E-UTRA Physical Layer Aspects (Release 9). Available online: https:\/\/portal.3gpp.org\/desktopmodules\/Specifications\/SpecificationDetails.aspx?specificationId=2493."},{"key":"ref_23","unstructured":"Emmerich, M., and Deutz, A. (2006). Multicriteria Optimization and Decision Making Principles, Algorithms and Case Studies, LIACS, Leiden University."},{"key":"ref_24","unstructured":"Coello, C.A.C., Lamont, G.B., and Van Veldhuizen, D.A. (2007). Evolutionary Algorithms for Solving Multi-Objective Problems, Springer."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1007\/s00158-003-0368-6","article-title":"Survey of multi-objective optimization methods for engineering","volume":"26","author":"Marler","year":"2004","journal-title":"Struct. Multidiscip. Optim."},{"key":"ref_26","first-page":"635","article-title":"Distributed energy-saving cellular network management using message-passing","volume":"66","author":"Lee","year":"2017","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Liu, L., Xiong, A., Yu, P., Feng, L., Li, W., Qiu, X., and Wang, M. (2018, January 23\u201327). Energy-saving management mechanism based on hybrid energy supplies in multi-operator shared LTE networks. Proceedings of the NOMS 2018-2018 IEEE\/IFIP Network Operations and Management Symposium, Taipei, Taiwan.","DOI":"10.1109\/NOMS.2018.8406216"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1109\/MWC.2011.6056691","article-title":"How much energy is needed to run a wireless network?","volume":"18","author":"Auer","year":"2011","journal-title":"IEEE Wirel. Commun."},{"key":"ref_29","unstructured":"Jensen, A.R., Lauridsen, M., Mogensen, P., S\u00f8rensen, T.B., and Jensen, P. (2012, January 3\u20136). LTE UE power consumption model. Proceedings of the 2012 IEEE Vehicular Technology Conference (VTC Fall), Quebec City, QC, Canada."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1016\/j.comnet.2015.11.002","article-title":"Service-differentiated downlink flow scheduling to support QoS in long term evolution","volume":"94","author":"Wang","year":"2016","journal-title":"Comput. Netw."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1007\/s11276-017-1571-5","article-title":"Performance evaluation of an adaptive self-organizing frequency reuse approach for OFDMA downlink","volume":"25","author":"Elwekeil","year":"2017","journal-title":"Wirel. Netw."},{"key":"ref_32","first-page":"3280","article-title":"3GPP; TSG RAN; Requirements for further advancements for E-UTRA (LTE-Advanced) 3GPP; TSG RAN; Requirements for further advancements for E-UTRA (LTE-Advanced)","volume":"94","author":"Tajika","year":"2008","journal-title":"IEICE Trans. Commun."},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Ikuno, J.C., Wrulich, M., and Rupp, M. (2010, January 16\u201319). System level simulation of LTE networks. Proceedings of the 2010 IEEE 71st Vehicular Technology Conference (VTC 2010-Spring), Taipei, Taiwan.","DOI":"10.1109\/VETECS.2010.5494007"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/2\/211\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:16:36Z","timestamp":1760159796000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/2\/211"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,28]]},"references-count":33,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2021,2]]}},"alternative-id":["sym13020211"],"URL":"https:\/\/doi.org\/10.3390\/sym13020211","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,28]]}}}