{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:12:28Z","timestamp":1760209948963,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2017,7,25]],"date-time":"2017-07-25T00:00:00Z","timestamp":1500940800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Spanish Ministry of Economy and Competitiveness","award":["TEC2013-47141-C4-2-R","TEC2016-75067-C4-3-R","TEC2015-69648-REDC"],"award-info":[{"award-number":["TEC2013-47141-C4-2-R","TEC2016-75067-C4-3-R","TEC2015-69648-REDC"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In a network, a distributed consensus algorithm is fully characterized by its weighting matrix. Although there exist numerical methods for obtaining the optimal weighting matrix, we have not found an in-network implementation of any of these methods that works for all network topologies. In this paper, we propose an in-network algorithm for finding such an optimal weighting matrix.<\/jats:p>","DOI":"10.3390\/s17081702","type":"journal-article","created":{"date-parts":[[2017,7,25]],"date-time":"2017-07-25T10:04:36Z","timestamp":1500977076000},"page":"1702","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["In-Network Computation of the Optimal Weighting Matrix for Distributed Consensus on Wireless Sensor Networks"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9628-0681","authenticated-orcid":false,"given":"Xabier","family":"Insausti","sequence":"first","affiliation":[{"name":"Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardiz\u00e1bal 13, 20018 San Sebasti\u00e1n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7423-5505","authenticated-orcid":false,"given":"Jes\u00fas","family":"Guti\u00e9rrez-Guti\u00e9rrez","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardiz\u00e1bal 13, 20018 San Sebasti\u00e1n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marta","family":"Z\u00e1rraga-Rodr\u00edguez","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardiz\u00e1bal 13, 20018 San Sebasti\u00e1n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pedro","family":"Crespo","sequence":"additional","affiliation":[{"name":"Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardiz\u00e1bal 13, 20018 San Sebasti\u00e1n, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,7,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1106","DOI":"10.1016\/j.sigpro.2012.12.002","article-title":"Distributed computation of the Fiedler vector with application to topology inference in ad hoc networks","volume":"93","author":"Bertrand","year":"2013","journal-title":"Signal Process."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"6297","DOI":"10.3390\/s110606297","article-title":"Diffusion-Based EM Algorithm for Distributed Estimation of Gaussian Mixtures in Wireless Sensor Networks","volume":"11","author":"Weng","year":"2011","journal-title":"Sensors"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"558","DOI":"10.1016\/j.sigpro.2014.10.005","article-title":"Consensus-based distributed dynamic sensor selection in decentralised sensor networks using the posterior Cram\u00e9r-Rao lower bound","volume":"108","author":"Mohammadi","year":"2015","journal-title":"Signal Process."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.sigpro.2014.07.006","article-title":"Distributed estimation of the inverse of the correlation matrix for privacy preserving beamforming","volume":"107","author":"Zeng","year":"2015","journal-title":"Signal Process."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"747","DOI":"10.1137\/110837462","article-title":"Convergence speed in distributed consensus and averaging","volume":"53","author":"Olshevsky","year":"2011","journal-title":"SIAM Rev."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.sysconle.2004.02.022","article-title":"Fast linear iterations for distributed averaging","volume":"53","author":"Xiao","year":"2004","journal-title":"Syst. 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