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The optimization problem relates to the EE maximization. This problem has two types of limitations, which provide a maximum transmission power and a minimum data rate for users. The encountered objective function is in a fractional form and thus it is a non\u2010convex function. Besides, the problem is constrained. We utilize a lower bound analysis for the data rates, some properties of the linear programming, and the maximum ratio transmission (MRT) precoding scheme to obtain a convex objective function. Using the Lagrange dual function, we obliterate the constraints of the problem and then it is easy to solve. To improve system performance, users are divided into two groups based on their channel gains, and the maximum transmission power is reasonably divided between them. Two iterative algorithms are proposed to solve the optimization problem numerically, and finally we investigate performance of the proposed method.<\/jats:p>","DOI":"10.1002\/dac.5437","type":"journal-article","created":{"date-parts":[[2023,1,21]],"date-time":"2023-01-21T06:06:55Z","timestamp":1674281215000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Energy efficient power allocation in MIMO relaying systems with the MRT precoding"],"prefix":"10.1002","volume":"36","author":[{"given":"Nima","family":"Imani","sequence":"first","affiliation":[{"name":"Faculty of Electrical and Computer Engineering University of Tabriz  Tabriz Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdolrasoul","family":"Sakhaei Gharagezlou","sequence":"additional","affiliation":[{"name":"Faculty of Electrical and Computer Engineering University of Tabriz  Tabriz Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/2.zoppoz.workers.dev:443\/https\/orcid.org\/0000-0002-1926-743X","authenticated-orcid":false,"given":"Mahdi","family":"Nangir","sequence":"additional","affiliation":[{"name":"Faculty of Electrical and Computer Engineering University of Tabriz  Tabriz Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2023,1,20]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2006.880064"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2007.904815"},{"key":"e_1_2_7_4_1","first-page":"1","volume-title":"Massive MIMO channel models: A survey","author":"Zheng K","year":"2014"},{"key":"e_1_2_7_5_1","first-page":"2589","article-title":"On the energy efficient multi\u2010pair two\u2010way massive MIMO AF relaying with imperfect CSI and optimal power allocation","volume":"6","author":"Liu Y","year":"2017","journal-title":"IEEE Access"},{"key":"e_1_2_7_6_1","doi-asserted-by":"crossref","unstructured":"HeliotF ImranMA TafazoliR.Joint source and relay energy efficient resource allocation for two\u2010hob MIMO\u2010AF systems. 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