{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:53:21Z","timestamp":1760241201229,"version":"build-2065373602"},"reference-count":36,"publisher":"MDPI AG","issue":"24","license":[{"start":{"date-parts":[[2019,12,9]],"date-time":"2019-12-09T00:00:00Z","timestamp":1575849600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, we investigate the mode selection strategies for a new device-to-device (D2D) pair becoming active in a network with a number of existing D2D sensors or users coexisting with cellular users in a D2D-enabled heterogeneous network. Specifically, we propose two selection rules, the signal-to-interference-plus-noise-ratio (SINR)-based and the capacity-based, combined with two sets of different precoding schemes and discuss their impacts on the system under a variety of scenarios. While the cooperative block diagonalization (BD) among the cellular users combined with the zero-forcing (ZF) precoding among D2D users can eliminate interference observed at the new D2D receiving sensor, the maximum signal-to-leakage-and-noise-ratio (SLNR) precoding is often a preferred option due to low-complexity implementations and comparable performance. We note that the two selection rules, the SINR-based and the capacity-based, considered in this paper impact on the system differently, with interesting tradeoff from different perspectives. Finally, we provide insights by simulations into the best selection among the three modes depending on a variety of use cases in the network.<\/jats:p>","DOI":"10.3390\/s19245417","type":"journal-article","created":{"date-parts":[[2019,12,9]],"date-time":"2019-12-09T11:22:51Z","timestamp":1575890571000},"page":"5417","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Mode Selection and Spectrum Allocation in Coexisting D2D and Cellular Networks with Cooperative Precoding"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4886-6474","authenticated-orcid":false,"given":"Yu-Wei","family":"Chan","sequence":"first","affiliation":[{"name":"College of Computing and Informatics, Providence University, Taichung 43301, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feng-Tsun","family":"Chien","sequence":"additional","affiliation":[{"name":"Institute of Electronics, National Chiao Tung University, Hsinchu 30010, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9579-4426","authenticated-orcid":false,"given":"Chao-Tung","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Tunghai University, Taichung 40704, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,9]]},"reference":[{"key":"ref_1","unstructured":"Index, C.V.N. 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