{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T13:35:40Z","timestamp":1761744940352,"version":"build-2065373602"},"reference-count":15,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,1,18]],"date-time":"2019-01-18T00:00:00Z","timestamp":1547769600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61571234,61631020"],"award-info":[{"award-number":["61571234,61631020"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>For an energy-harvesting wireless transmission system, considering that a transmitter which can harvest energy from nature has two kinds of extra energy consumption, circuit consumption and storage losses, the optimization models are set up in this paper for the purpose of maximizing the average throughput of the system within a certain period of time for both a time-invariant channel and time-varying channel. Convex optimization methods such as the Lagrange multiplier method and the KKT (Karush\u2013Kuhn\u2013Tucker) condition are used to solve the optimization problem; then, an optimal offline power allocation algorithm which has a three-threshold structure is proposed. In the three-threshold algorithm, two thresholds can be achieved by using a linear search method while the third threshold is calculated according to the channel state information and energy losses; then, the offline power allocation is based on the three thresholds and energy arrivals. Furthermore, inspired by the optimal offline algorithm, a low-complexity online algorithm with adaptive thresholds is derived. Finally, the simulation results show that the offline power allocation algorithms proposed in this paper are better than other algorithms, the performance of the online algorithm proposed is close to the offline one, and these algorithms can help improve the average throughput of the system.<\/jats:p>","DOI":"10.3390\/a12010025","type":"journal-article","created":{"date-parts":[[2019,1,18]],"date-time":"2019-01-18T11:26:55Z","timestamp":1547810815000},"page":"25","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Power Allocation Algorithm for an Energy-Harvesting Wireless Transmission System Considering Energy Losses"],"prefix":"10.3390","volume":"12","author":[{"given":"Su","family":"Zhao","sequence":"first","affiliation":[{"name":"The National Mobile Communications Research Laboratory, Southeast University, Nanjing 210003, China"},{"name":"Jiangsu Key Lab of Wireless Communications, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gang","family":"Huang","sequence":"additional","affiliation":[{"name":"The National Mobile Communications Research Laboratory, Southeast University, Nanjing 210003, China"},{"name":"Jiangsu Key Lab of Wireless Communications, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qi","family":"Zhu","sequence":"additional","affiliation":[{"name":"Jiangsu Key Lab of Wireless Communications, Nanjing University of Posts and Telecommunications, Nanjing 210003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,1,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1109\/MCOM.2014.6957149","article-title":"Green Communications and Computing Networks","volume":"52","author":"Wu","year":"2016","journal-title":"Commun. 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Signal Process."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1232","DOI":"10.1109\/TVT.2013.2283505","article-title":"Recursive Waterfilling for Wireless Links with Energy Harvesting Transmitters","volume":"63","author":"He","year":"2014","journal-title":"IEEE Trans. Veh. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1109\/JCN.2012.6253061","article-title":"A general framework for the optimization of energy harvesting communication systems with battery imperfections","volume":"14","author":"Devillers","year":"2012","journal-title":"J. Commun. Netw."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1109\/JSAC.2014.141212","article-title":"Throughput Optimal Policies for Energy Harvesting Wireless Transmitters with Non-Ideal Circuit Power","volume":"32","author":"Xu","year":"2014","journal-title":"IEEE J. Sel. Areas Commun."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"2500","DOI":"10.1109\/TWC.2014.2387380","article-title":"Optimal MIMO Broadcasting for Energy Harvesting Transmitter With non-Ideal Circuit Power Consumption","volume":"14","author":"Wang","year":"2015","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"6095","DOI":"10.1109\/TWC.2014.2328600","article-title":"Energy Harvesting Broadband Communication Systems with Processing Energy Cost","volume":"13","author":"Orhan","year":"2013","journal-title":"IEEE Trans. Wirel. Commun."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1109\/JSAC.2015.2391511","article-title":"Optimum Policies for an Energy Harvesting Transmitter under Energy Storage Losses","volume":"33","author":"Tutuncuoglu","year":"2012","journal-title":"IEEE J. Sel. 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