{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T00:31:52Z","timestamp":1773793912090,"version":"3.50.1"},"reference-count":34,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2025,1,12]],"date-time":"2025-01-12T00:00:00Z","timestamp":1736640000000},"content-version":"vor","delay-in-days":11,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Electrical and Computer Engineering"],"published-print":{"date-parts":[[2025,1]]},"abstract":"<jats:p>\n                    This research paper proposes three joint transmit and receive (TX\/RX) beamforming schemes for minimizing the bit error rates of next\u2010generation wireless sensor networks. Based on minimizing the optimization problem of the total mean squared error between the transmitted and received data symbols, the first beamforming scheme is proposed. The second beamforming scheme is based on the projection of the effective channel on the space spanned by the channel matrix. A third practical beamforming scheme based on the strongest eigenvalues of the channel matrix is introduced. This beamforming scheme proves its optimality in its operation under the condition that the number of TX antennas is equal to or larger than the total number of RX antennas. The proposed joint TX\/RX beamforming schemes are formulated in closed form. Numerous numerical results are provided using the MATLAB platform. The proposed beamforming schemes are compared with the widely adopted block diagonalization transmission scheme and linear block diagonalization. Moreover, the proposed systems are compared with state\u2010of\u2010the\u2010art beamforming techniques such as Tomlinson\u2013Harashima precoding\u2010based MMSE. The simulation results demonstrated that the proposed beamforming schemes achieved better bit error rate performance than the block diagonalization and linear block diagonalization transmission schemes. Furthermore, the third beamforming scheme provides a gain of about 4dB compared to the cutting\u2010edge technology of beamforming Tomlinson\u2013Harashima precoding\u2010based MMSE. Accordingly, more robust communications can be achieved for next\u2010generation wireless sensor networks. This research paper provides an efficient manner to meet the demanded reliability of next\u2010generation wireless sensor networks, which is a bit error rate of 10\n                    <jats:sup>\u22129<\/jats:sup>\n                    .\n                  <\/jats:p>","DOI":"10.1155\/jece\/5235951","type":"journal-article","created":{"date-parts":[[2025,1,13]],"date-time":"2025-01-13T00:08:41Z","timestamp":1736726921000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Joint Noniterative Beamforming Schemes for BER Minimization in Next\u2010Generation Wireless Sensor Networks"],"prefix":"10.1155","volume":"2025","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7919-0411","authenticated-orcid":false,"given":"Mohamed S.","family":"Abouzeid","sequence":"first","affiliation":[]},{"given":"Heba A.","family":"El-Khobby","sequence":"additional","affiliation":[]},{"given":"Mahmoud A. 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