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In this paper, we optimize EE for downlink OFDMA system in HetNet, taking into account realistic network power consumption model, that is, considering circuit power. This paper investigates the EE maximization using convex optimization theory where primary optimization criterion is data rate in a downlink multiuser HetNet. Given QoS (data rate) requirement, for maximizing EE, a constrained based optimization problem is devised. Because the optimization problem is non\u2010convex in nature, we reconstruct the optimization problem as a convex one and devise a pragmatically efficient novel resource assignment algorithm for maximizing achievable EE, with quick convergence. The considered optimization problem is transformed into a convex optimization problem by redefining the constraint using cubic inequality, which results in an efficient iterative resource allocation algorithm. In each iteration, the transformed problem is solved by using dual decomposition with a projected gradient method. Analytical insights and numerical results exhibit the potency of the devised scheme for the targeted complex wireless systems. Copyright \u00a9 2015 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/dac.2969","type":"journal-article","created":{"date-parts":[[2015,4,10]],"date-time":"2015-04-10T22:10:55Z","timestamp":1428703855000},"source":"Crossref","is-referenced-by-count":3,"title":["Energy efficiency optimization for downlink OFDMA system in heterogeneous network with QoS constraints"],"prefix":"10.1002","volume":"30","author":[{"given":"Joaquim","family":"Bastos","sequence":"first","affiliation":[{"name":"Instituto de Telecomunica\u00e7\u00f5es Campus Universit\u00e1rio de Santiago  Aveiro 3810\u2010193 Portugal"},{"name":"Universitat de Barcelona, Gran Via de les Corts Catalanes  Barcelona 08007 Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kazi Mohammed Saidul","family":"Huq","sequence":"additional","affiliation":[{"name":"Instituto de Telecomunica\u00e7\u00f5es Campus Universit\u00e1rio de Santiago  Aveiro 3810\u2010193 Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shahid","family":"Mumtaz","sequence":"additional","affiliation":[{"name":"Instituto de Telecomunica\u00e7\u00f5es Campus Universit\u00e1rio de Santiago  Aveiro 3810\u2010193 Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jonathan","family":"Rodriguez","sequence":"additional","affiliation":[{"name":"Instituto de Telecomunica\u00e7\u00f5es Campus Universit\u00e1rio de Santiago  Aveiro 3810\u2010193 Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christos","family":"Verikoukis","sequence":"additional","affiliation":[{"name":"Centre Tecnol\u00f2gic de Telecomunicacions de Catalunya (CTTC)  Castelldefels, Barcelona 08860 Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2015,4,10]]},"reference":[{"key":"e_1_2_8_2_1","first-page":"2006","volume-title":"Communications","author":"Fettweis G","year":"2008"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11277-011-0244-4"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.1109\/MWC.2011.5876496"},{"key":"e_1_2_8_5_1","doi-asserted-by":"crossref","unstructured":"MiaoG HimayatN LiY BormannD.Energy efficient design in wireless OFDMA.2008. 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