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However, a spectrum efficiency of NOMA method is restricted because of remaining an interference signal of another user. A beamforming method can also be applied into MU-MIMO systems for implementation of multiple access without the interference with the other users; however, it is unavailable for a high density user environment in which multiple users locate close to each other. In order to further improve the spectrum efficiency, we propose a novel signal processing method which joints a precoding and an equalization. First, a precoding matrix is prepared for every user at base station, and we design an equalization which is orthogonal to the precoding matrix. Second, a set of linear weights is proposed to calculate at users for cancelling any interference signal. Therefore, signals for other users are eliminated according to the orthogonal feature and linear signal processing, and then, every user can receive its own signal without the interference signal. The proposed method is compared with the beamforming and NOMA methods in several scenarios, and the calculation result shows that our method outperforms other methods. Especially, our novel method works properly in the case of high density users.<\/jats:p>","DOI":"10.1186\/s13638-022-02118-2","type":"journal-article","created":{"date-parts":[[2022,4,8]],"date-time":"2022-04-08T12:02:58Z","timestamp":1649419378000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Combining precoding and equalization for interference cancellation in MU-MIMO systems with high density users"],"prefix":"10.1186","volume":"2022","author":[{"given":"Nguyen Thu","family":"Phuong","sequence":"first","affiliation":[]},{"given":"Vu Van","family":"Son","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6117-2100","authenticated-orcid":false,"given":"Pham Thanh","family":"Hiep","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,4,8]]},"reference":[{"key":"2118_CR1","doi-asserted-by":"publisher","first-page":"366","DOI":"10.1016\/j.aeue.2017.12.021","volume":"84","author":"L Claudino","year":"2018","unstructured":"L. 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