{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,20]],"date-time":"2025-05-20T23:10:10Z","timestamp":1747782610014,"version":"3.41.0"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,3,13]],"date-time":"2015-03-13T00:00:00Z","timestamp":1426204800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/2.0"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Wireless Com Network"],"published-print":{"date-parts":[[2015,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Cooperative communication with spectrum sharing has been proved to be an efficient way to reduce energy consumption. In this work, an optimal power allocation algorithm is proposed for mobile cooperative beamforming networks, where several secondary users (SUs) collaboratively act as relay nodes to assist the transmission of a primary user (PU) in reward of transmitting their own information. The optimal power allocation scheme is obtained by solving a convex optimization problem aiming at minimizing network energy consumption with guaranteed quality of service (QoS) for both PU and SUs. Simulation results show that with the consideration of overheads, circuit power, and energy costs for message sharing, a cooperative beamforming network augmented with our proposed power allocation algorithm performs better in scenarios of more SUs in terms of higher energy efficiency and less power consumption per unit throughput. Additionally, the proposed scheme outperforms the conventional best-relay selection approach in the aspects of power consumption per unit throughput, energy efficiency, and network power consumption. Furthermore, simulations also demonstrate that the derived cooperative beamforming algorithm exhibits superior performance in energy saving than conventional methods in high-speed scenarios.<\/jats:p>","DOI":"10.1186\/s13638-015-0315-4","type":"journal-article","created":{"date-parts":[[2015,3,12]],"date-time":"2015-03-12T09:39:27Z","timestamp":1426153167000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Power minimization of cooperative beamforming networks with spectrum sharing"],"prefix":"10.1186","volume":"2015","author":[{"given":"Cen","family":"Ling","sequence":"first","affiliation":[]},{"given":"Xuefeng","family":"Yin","sequence":"additional","affiliation":[]},{"given":"Silvia Ruiz","family":"Boqu\u00e9","sequence":"additional","affiliation":[]},{"given":"Mario","family":"Garc\u00eda-Lozano","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,3,13]]},"reference":[{"key":"315_CR1","doi-asserted-by":"publisher","first-page":"1065","DOI":"10.1109\/JSAC.2014.2328098","volume":"32","author":"J Andrews","year":"2014","unstructured":"J Andrews, S Buzzi, W Choi, S Hanly, A Lozano, A Soong, J Zhang, What will 5G be. IEEE J. Sel. Areas Commun. 32, 1065\u20131082 (2014).","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"315_CR2","first-page":"66","volume":"52","author":"I C-Lin","year":"2014","unstructured":"I C-Lin, C Rowell, S Han, Z Xu, G Li, Z Pan, Toward green and soft: a 5G perspective. IEEE Commun. Mag. 52, 66\u201373 (2014).","journal-title":"IEEE Commun. Mag"},{"key":"315_CR3","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1109\/MVT.2013.2269187","volume":"8","author":"P Demestichas","year":"2013","unstructured":"P Demestichas, A Georgakopoulos, D Karvounas, K Tsagkaris, V Stavroulaki, J Lu, C Xiong, J Yao, 5G on the horizon: key challenges for the radio-access network. IEEE Veh. Technol. Mag. 8, 47\u201353 (2013).","journal-title":"IEEE Veh. Technol. Mag"},{"key":"315_CR4","doi-asserted-by":"publisher","first-page":"36","DOI":"10.1109\/MCOM.2014.6815891","volume":"52","author":"S Chen","year":"2014","unstructured":"S Chen, J Zhao, The requirements, challenges, and technologies for 5G of terrestrial mobile telecommunication. IEEE Commun. Mag. 52, 36\u201343 (2014).","journal-title":"IEEE Commun. Mag"},{"key":"315_CR5","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1109\/MCOM.2014.6957151","volume":"52","author":"Y Wu","year":"2014","unstructured":"Y Wu, Y Chen, J Tang, D So, Z Xu, C-L I, P Ferrand, J-M Gorce, C-H Tang, P-R Li, K-T Feng, L-C Wang, K Borner, L Thiele, Green transmission technologies for balancing the energy efficiency and spectrum efficiency trade-off. IEEE Commun. Mag. 52, 112\u2013120 (2014).","journal-title":"IEEE Commun. Mag"},{"key":"315_CR6","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1109\/MCOM.2014.6852082","volume":"52","author":"X Hong","year":"2014","unstructured":"X Hong, J Wang, C-X Wang, J Shi, Cognitive radio in 5G: a perspective on energy-spectral efficiency trade-off. IEEE Commun. Mag. 52, 46\u201353 (2014).","journal-title":"IEEE Commun. Mag"},{"key":"315_CR7","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1109\/MWC.2012.6189408","volume":"19","author":"W Zhuang","year":"2012","unstructured":"W Zhuang, M Ismail, Cooperation in wireless communication networks. IEEE Wireless Commun. 19, 10\u201320 (2012).","journal-title":"IEEE Wireless Commun."},{"key":"315_CR8","doi-asserted-by":"crossref","unstructured":"A Papadogiannis, D Gesbert, E Hardouin, in Proceedings of IEEE International Conference on Communications (ICC). A dynamic clustering approach in wireless networks with multi-cell cooperative processing (IEEEBeijing, China, 2008), pp. 4033\u20134037.","DOI":"10.1109\/ICC.2008.757"},{"key":"315_CR9","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1109\/MCOM.2010.5621970","volume":"48","author":"Z Niu","year":"2010","unstructured":"Z Niu, Y Wu, J Gong, Z Yang, Cell zooming for cost-efficient green cellular networks. IEEE Commun. Mag. 48, 74\u201379 (2010).","journal-title":"IEEE Commun. Mag"},{"key":"315_CR10","doi-asserted-by":"publisher","first-page":"3062","DOI":"10.1109\/TIT.2004.838089","volume":"50","author":"J Laneman","year":"2004","unstructured":"J Laneman, D Tse, GW Wornell, Cooperative diversity in wireless networks: efficient protocols and outage behavior. IEEE Trans. Inf. Theory. 50, 3062\u20133080 (2004).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"315_CR11","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1109\/JSAC.2005.862417","volume":"24","author":"A Bletsas","year":"2006","unstructured":"A Bletsas, A Khisti, D Reed, A Lippman, A simple cooperative diversity method based on network path selection. IEEE J. Selec. Areas Commun. 24, 659\u2013672 (2006).","journal-title":"IEEE J. Selec. Areas Commun"},{"key":"315_CR12","doi-asserted-by":"publisher","first-page":"2499","DOI":"10.1109\/TIT.2009.2018175","volume":"55","author":"H Jafarkhani","year":"2009","unstructured":"YJ, H Jafarkhani, Network beamforming using relays with perfect channel information. IEEE Trans. Inf. Theory. 55, 2499\u20132517 (2009).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"315_CR13","doi-asserted-by":"publisher","first-page":"692","DOI":"10.1109\/TVT.2008.929466","volume":"58","author":"C Lo","year":"2009","unstructured":"C Lo, S Vishwanath, R Heath, Relay subset selection in wireless networks using partial decode-and-forward transmission. IEEE Trans. Veh. Technol. 58, 692\u2013704 (2009).","journal-title":"IEEE Trans. Veh. Technol"},{"key":"315_CR14","doi-asserted-by":"publisher","first-page":"62","DOI":"10.1109\/MWC.2013.6664475","volume":"20","author":"B Hamdaoui","year":"2013","unstructured":"B Hamdaoui, T Alshammari, M Guizani, Exploiting 4G mobile user cooperation for energy conservation: challenges and opportunities. IEEE Wireless Commun. 20, 62\u201367 (2013).","journal-title":"IEEE Wireless Commun."},{"key":"315_CR15","doi-asserted-by":"crossref","unstructured":"Z Zhou, S Zhou, S Cui, J-H Cui, in Proceedings of IEEE Military Communications Conference (MILCOM). Energy-efficient cooperative communication in clustered wireless sensor networks (IEEEWashington, USA, 2006), pp. 1\u20137.","DOI":"10.1109\/MILCOM.2006.302361"},{"key":"315_CR16","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1109\/MCOM.2009.4785390","volume":"47","author":"H Shan","year":"2009","unstructured":"H Shan, W Zhuang, Z Wang, Distributed cooperative MAC for multihop wireless networks. IEEE Commun. Mag. 47, 126\u2013133 (2009).","journal-title":"IEEE Commun. Mag"},{"key":"315_CR17","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1109\/MWC.2012.6189412","volume":"19","author":"D Yang","year":"2012","unstructured":"D Yang, X Fang, G Xue, Game theory in cooperative communications. IEEE Wireless Commun. Mag. 19, 44\u201349 (2012).","journal-title":"IEEE Wireless Commun. Mag"},{"key":"315_CR18","first-page":"458","volume":"4","author":"G R Bella","year":"2009","unstructured":"G R Bella, G Costantino, Evaluating the device reputation through full observation in MANETs. J. Inf. Ass. Sec. 4, 458\u2013465 (2009).","journal-title":"J. Inf. Ass. Sec"},{"key":"315_CR19","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1109\/LCOMM.2013.011113.121754","volume":"17","author":"D Liu","year":"2013","unstructured":"D Liu, W Wang, W Guo, \u2018Green\u2019 cooperative spectrum sharing communication. IEEE Commun. Letters. 17, 459\u2013462 (2013).","journal-title":"IEEE Commun. Letters"},{"key":"315_CR20","doi-asserted-by":"publisher","first-page":"114","DOI":"10.1109\/JCN.2010.6391367","volume":"12","author":"C Comaniciu","year":"2010","unstructured":"C Comaniciu, NB Mandayam, H Poor, J-M Gorce, An auctioning mechanism for green radio. J. Commun. Netw-s. Kor. 12, 114\u2013121 (2010).","journal-title":"J. Commun. Netw-s. Kor"},{"key":"315_CR21","doi-asserted-by":"crossref","unstructured":"J Furthmuller, O Waldhorst, in Proceedings of Eighth International Conference on Wireless On-Demand Network Systems and Services (WONS). Energy-aware resource sharing with mobile devices (IEEEBardonecchia Italy, 2011), pp. 52\u201359.","DOI":"10.1109\/WONS.2011.5720200"},{"key":"315_CR22","doi-asserted-by":"publisher","first-page":"3890","DOI":"10.1109\/TWC.2009.080504","volume":"8","author":"K Woradit","year":"2009","unstructured":"K Woradit, T Quek, W Suwansantisuk, H Wymeersch, L Wuttisittikulkij, M Win, Outage behavior of selective relaying schemes. IEEE Trans. Wireless. Commun. 8, 3890\u20133895 (2009).","journal-title":"IEEE Trans. Wireless. Commun"},{"key":"315_CR23","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1109\/LCOMM.2005.1437354","volume":"9","author":"E Larsson","year":"2005","unstructured":"E Larsson, Y Cao, Collaborative transmit diversity with adaptive radio resource and power allocation. IEEE Commun. Lett. 9, 511\u2013513 (2005).","journal-title":"IEEE Commun. Lett"},{"key":"315_CR24","unstructured":"Y Cao, B Vojcic, M Souryal, in Proceedings of IEEE Vehicular Technology Conference (VTC2004-Fal). User-cooperative transmission with channel feedback in slow fading environmentA (IEEELos Angeles, USA, 2004), pp. 2063\u20132067."},{"key":"315_CR25","doi-asserted-by":"publisher","first-page":"1376","DOI":"10.1109\/TWC.2013.092513.121999","volume":"12","author":"G Lim","year":"2013","unstructured":"G Lim, J Cimini, LJ, Energy-efficient cooperative beamforming in clustered wireless networks. IEEE Trans. Wireless. Commun. 12, 1376\u20131385 (2013).","journal-title":"IEEE Trans. Wireless. Commun"},{"key":"315_CR26","first-page":"2946","volume":"11","author":"C Isheden","year":"2012","unstructured":"C Isheden, Z Chong, E Jorswieck, G Fettweis, Framework for link-level energy efficiency optimization with informed transmitter. IEEE Trans. Wireless. Commun. 11, 2946\u20132957 (2012).","journal-title":"IEEE Trans. Wireless. Commun"},{"key":"315_CR27","doi-asserted-by":"crossref","unstructured":"D To, T To, J Choi, in Proceedings of IEEE Vehicular Technology Conference (VTC Spring). Energy efficient distributed beamforming with sensor selection in wireless sensor networks (IEEEYokohama, Japan, 2012), pp. 1\u20135.","DOI":"10.1109\/VETECS.2012.6240104"},{"key":"315_CR28","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1109\/JCN.2007.6182883","volume":"9","author":"Y Zhang","year":"2007","unstructured":"Y Zhang, H Dai, Energy-efficiency and transmission strategy selection in cooperative wireless sensor networks. J. Commun. Netw-s. Kor. 9, 473\u2013481 (2007).","journal-title":"J. Commun. Netw-s. Kor"},{"key":"315_CR29","doi-asserted-by":"crossref","unstructured":"X Zhang, Z Zheng, J Liu, X Shen, L-L Xie, in Proceedings of IEEE Global Communications Conference (GLOBECOM). Optimal power allocation and AP deployment in green wireless cooperative communications (IEEEAnaheim, USA, 2012), pp. 4000\u20134005.","DOI":"10.1109\/GLOCOM.2012.6503742"},{"key":"315_CR30","doi-asserted-by":"crossref","unstructured":"GB S Farshad, ML, in Proceedings of International Union of Radio Science General Assembly and Scientific Symposium (URSI GASS). A Q-learning game-theory-based algorithm to improve the energy efficiency of a multiple relay-aided network (IEEEBeijing, China, 2014), pp. 1\u20134.","DOI":"10.1109\/URSIGASS.2014.6929244"},{"key":"315_CR31","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1109\/JSAC.2008.080105","volume":"26","author":"L Zhang","year":"2008","unstructured":"L Zhang, Y Liang, Y Xin, Joint beamforming and power allocation for multiple access channels in cognitive radio networks. IEEE J. Sel. Areas Commun. 26, 38\u201351 (2008).","journal-title":"IEEE J. Sel. Areas Commun"},{"key":"315_CR32","doi-asserted-by":"publisher","first-page":"3013","DOI":"10.1109\/TWC.2008.06090","volume":"7","author":"R Madan","year":"2008","unstructured":"R Madan, N Mehta, A Molisch, J Zhang, Energy-efficient cooperative relaying over fading channels with simple relay selection. IEEE Trans. Wireless Commun. 7, 3013\u20133025 (2008).","journal-title":"IEEE Trans. Wireless Commun"},{"key":"315_CR33","doi-asserted-by":"publisher","first-page":"476","DOI":"10.1109\/WCL.2012.070312.120366","volume":"1","author":"G Lim","year":"2012","unstructured":"G Lim, L Cimini, Energy-efficient cooperative relaying in heterogeneous radio access networks. IEEE Wireless Commun. Lett. 1, 476\u2013479 (2012).","journal-title":"IEEE Wireless Commun. Lett"},{"key":"315_CR34","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1109\/MWC.2012.6189416","volume":"19","author":"Q Guan","year":"2012","unstructured":"Q Guan, F Yu, S Jiang, V Leung, H Mehrvar, Topology control in mobile ad hoc networks with cooperative communications. IEEE Wireless Commun. 19, 74\u201379 (2012).","journal-title":"IEEE Wireless Commun."},{"key":"315_CR35","doi-asserted-by":"crossref","unstructured":"C Ling, X Yin, SR Boqule, M Garcia-Lozano, in Proceedings of International Union of Radio Science General Assembly and Scientific Symposium (URSI GASS). Optimal power allocation and relay selection in spectrum sharing cooperative networks (IEEEBeijing, China, 2014), pp. 1\u20134.","DOI":"10.1109\/URSIGASS.2014.6929346"},{"key":"315_CR36","unstructured":"RT Rockafellar, Convex Analysis (Princeton University Press, USA, 1996)."},{"key":"315_CR37","unstructured":"LV Stephen Boyd, Convex Optimization (Cambridge University Press, UK, 2006)."},{"key":"315_CR38","unstructured":"R Kress, Numerical analysis (World Book Publishing, China, 2003)."},{"key":"315_CR39","unstructured":"WC Jakes, Microwave Mobile Communications (John Wiley & Sons, USA, 1974)."},{"key":"315_CR40","doi-asserted-by":"crossref","unstructured":"C Komninakis, in Proceedings of IEEE Global Telecommunications Conference (GLOBECOM). A fast and accurate Rayleigh fading simulator (IEEESan Francisco, USA, 2003), pp. 3306\u20133310.","DOI":"10.1109\/GLOCOM.2003.1258847"},{"key":"315_CR41","doi-asserted-by":"crossref","unstructured":"H Yu, Y Li, M Kountouris, X Xu, J Wang, in Proceedings of 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt). Energy efficiency analysis of relay-assisted cellular networks using stochastic geometry (IEEEHammamet, Tunis, 2014), pp. 667\u2013671.","DOI":"10.1109\/WIOPT.2014.6850363"},{"key":"315_CR42","doi-asserted-by":"crossref","unstructured":"J Chen, X Chen, T Liu, L Lei, in Proceedings of IEEE international conference on Communications in China (ICCC). Energy-efficient power allocation for secure communications in large-scale MIMO relaying systems (IEEEShanghai, China, 2014), pp. 385\u2013390.","DOI":"10.1109\/ICCChina.2014.7008307"}],"container-title":["EURASIP Journal on Wireless Communications and Networking"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13638-015-0315-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1186\/s13638-015-0315-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1186\/s13638-015-0315-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1186\/s13638-015-0315-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,20]],"date-time":"2025-05-20T22:34:59Z","timestamp":1747780499000},"score":1,"resource":{"primary":{"URL":"https:\/\/jwcn-eurasipjournals.springeropen.com\/articles\/10.1186\/s13638-015-0315-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3,13]]},"references-count":42,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,12]]}},"alternative-id":["315"],"URL":"https:\/\/doi.org\/10.1186\/s13638-015-0315-4","relation":{},"ISSN":["1687-1499"],"issn-type":[{"type":"electronic","value":"1687-1499"}],"subject":[],"published":{"date-parts":[[2015,3,13]]},"assertion":[{"value":"1 September 2014","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 March 2015","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 March 2015","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"72"}}