{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T08:22:16Z","timestamp":1776759736117,"version":"3.51.2"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,6,1]],"date-time":"2024-06-01T00:00:00Z","timestamp":1717200000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"Ahmad Almogren","award":["RSP2024R184"],"award-info":[{"award-number":["RSP2024R184"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Wireless Pers Commun"],"published-print":{"date-parts":[[2024,6]]},"DOI":"10.1007\/s11277-024-11367-x","type":"journal-article","created":{"date-parts":[[2024,6,27]],"date-time":"2024-06-27T09:03:37Z","timestamp":1719479017000},"page":"1903-1921","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Parallel Distributed Architecture of Linear Kalman Filter for Non-stationary MIMO Communication Systems"],"prefix":"10.1007","volume":"136","author":[{"given":"Alamzeb","family":"Syed","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hasan","family":"Raza","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ahmad","family":"Almogren","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. Aamer","family":"Saleem","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4114-7773","authenticated-orcid":false,"given":"Waseem","family":"Abbasi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Arif","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ateeq Ur","family":"Rehman","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,6,27]]},"reference":[{"key":"11367_CR1","unstructured":"WWRF, K. E. S., & Sorensen, L. (2009). 2020: Beyond 4G: Radio evolution for the gigabit experience."},{"issue":"2","key":"11367_CR2","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1109\/TCNS.2014.2378874","volume":"2","author":"HN Wu","year":"2015","unstructured":"Wu, H. N., & Wang, H. D. (2015). Distributed consensus observers-based H1 control of dissipative pde systems using sensor networks. IEEE Transactions on Control of Network Systems, 2(2), 112\u2013121.","journal-title":"IEEE Transactions on Control of Network Systems"},{"issue":"4","key":"11367_CR3","doi-asserted-by":"publisher","first-page":"1563","DOI":"10.1109\/TCST.2014.2364120","volume":"23","author":"L Orihuela","year":"2015","unstructured":"Orihuela, L., Milln, P., Vivas, C., & Rubio, F. R. (2015). Distributed control and estimation scheme with applications to process control. IEEE Transactions on Control Systems Technology, 23(4), 1563\u20131570.","journal-title":"IEEE Transactions on Control Systems Technology"},{"issue":"4","key":"11367_CR4","doi-asserted-by":"publisher","first-page":"761","DOI":"10.1109\/TCNS.2016.2550866","volume":"4","author":"T Sadamoto","year":"2017","unstructured":"Sadamoto, T., Ishizaki, T., & Imura, J. (2017). Average state observers for large-scale network systems. IEEE Transactions on Control of Network Systems, 4(4), 761\u2013769.","journal-title":"IEEE Transactions on Control of Network Systems"},{"key":"11367_CR5","unstructured":"Wang, S., Ren, W., & Chen, J. (2017). Fully distributed dynamic state estimation with uncertain process models. IEEE Transactions on Control of Network Systems, p. 1."},{"key":"11367_CR6","doi-asserted-by":"crossref","unstructured":"Spanos, D.P., Olfati-Saber, R., & Murray, R.M. (2005). Approximate distributed Kalman filtering in sensor networks with quantifiable performance. In: Fourth International Symposium on Information Processing in Sensor Networks, pp. 133\u2013139.","DOI":"10.1109\/IPSN.2005.1440912"},{"key":"11367_CR7","doi-asserted-by":"crossref","unstructured":"Olfati- Saber, R. (2005). Distributed Kalman filter with embedded consensus filters. In: Proceedings of the 44th IEEE Conference on Decision and Control, pp. 8179\u20138184.","DOI":"10.1109\/CDC.2005.1583486"},{"key":"11367_CR8","doi-asserted-by":"crossref","unstructured":"Olfati-Saber, R. (2007). Distributed Kalman filtering for sensor networks. In: 2007 46th IEEE Conference on Decision and Control, pp. 5492\u20135498.","DOI":"10.1109\/CDC.2007.4434303"},{"issue":"4","key":"11367_CR9","doi-asserted-by":"publisher","first-page":"622","DOI":"10.1109\/JSAC.2008.080505","volume":"26","author":"R Carli","year":"2008","unstructured":"Carli, R., Chiuso, A., Schenato, L., & Zampieri, S. (2008). Distributed Kalman filtering based on consensus strategies. IEEE Journal on Selected Areas in Communications, 26(4), 622\u2013633.","journal-title":"IEEE Journal on Selected Areas in Communications"},{"key":"11367_CR10","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2022.110408","volume":"142","author":"J Qian","year":"2022","unstructured":"Qian, J., Duan, P., Duan, Z., Chen, G., & Shi, L. (2022). Consensus-based distributed filtering with fusion step analysis. Automatica, 142, 110408.","journal-title":"Automatica"},{"issue":"9","key":"11367_CR11","doi-asserted-by":"publisher","first-page":"2069","DOI":"10.1109\/TAC.2010.2042987","volume":"55","author":"FS Cattivelli","year":"2010","unstructured":"Cattivelli, F. S., & Sayed, A. H. (2010). Diffusion strategies for distributed Kalman filtering and smoothing. IEEE Transactions on Automatic Control, 55(9), 2069\u20132084.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"11367_CR12","doi-asserted-by":"crossref","unstructured":"Yang, S., Huang, T., Guan, J., Xiong, Y., & Wang, M. (2016). Diffusion strategies for distributed Kalman filter with dynamic topologies in virtualized sensor networks. Mobile Information Systems.","DOI":"10.1155\/2016\/8695102"},{"issue":"8","key":"11367_CR13","doi-asserted-by":"publisher","first-page":"1450","DOI":"10.1016\/j.automatica.2007.01.010","volume":"43","author":"E Song","year":"2007","unstructured":"Song, E., Zhu, Y., Zhou, J., & You, Z. (2007). Optimal Kalman filtering fusion with cross-c orrelated sensor noises. Automatica, 43(8), 1450\u20131456.","journal-title":"Automatica"},{"issue":"1","key":"11367_CR14","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1109\/LSP.2011.2177495","volume":"19","author":"J Xu","year":"2012","unstructured":"Xu, J., Song, E., Luo, Y., & Zhu, Y. (2012). Optimal distributed Kalman filtering fusion algorithm without invertibility of estimation error and sensor noise covariances. IEEE Signal Processing Letters, 19(1), 55\u201358.","journal-title":"IEEE Signal Processing Letters"},{"issue":"6","key":"11367_CR15","doi-asserted-by":"publisher","first-page":"1017","DOI":"10.1016\/j.automatica.2004.01.014","volume":"40","author":"S-L Sun","year":"2004","unstructured":"Sun, S.-L., & Deng, Z.-L. (2004). Multi-sensor optimal information fusion Kalman filter. Automatica, 40(6), 1017\u20131023.","journal-title":"Automatica"},{"issue":"2","key":"11367_CR16","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1080\/00207721.2010.502601","volume":"43","author":"J Feng","year":"2012","unstructured":"Feng, J., & Zeng, M. (2012). Optimal distributed Kalman filtering fusion for a linear dynamic system with cross-correlated noises. International Journal of Systems Science, 43(2), 385\u2013398.","journal-title":"International Journal of Systems Science"},{"issue":"556\u2013565","key":"11367_CR17","first-page":"2023","volume":"91","author":"Z Feng","year":"2023","unstructured":"Feng, Z., Wang, G., Peng, B., He, J., & Zhang, K. (2023). Distributed minimum error entropy Kalman filter. Information Fusion, 91(556\u2013565), 2023.","journal-title":"Information Fusion"},{"key":"11367_CR18","doi-asserted-by":"publisher","first-page":"3839","DOI":"10.1109\/TNNLS.2019.2899052","volume":"30","author":"V Vahidpour","year":"2019","unstructured":"Vahidpour, V., Rastegarnia, A., Khalili, A., & Sanei, S. (2019). Partial diffusion kalman filtering for distributed stateestimation in multiagent networks. IEEE Transactions on Neural Networks and Learning Systems, 30, 3839\u20133846.","journal-title":"IEEE Transactions on Neural Networks and Learning Systems"},{"key":"11367_CR19","doi-asserted-by":"publisher","first-page":"1767","DOI":"10.1109\/TAES.2019.2933961","volume":"56","author":"V Vahidpour","year":"2020","unstructured":"Vahidpour, V., Rastegarnia, A., Latifi, M., Khalili, A., & Sanei, S. (2020). Performance analysis of distributed kalman filtering with partial diffusion over noisy network. IEEE Transactions on Aerospace and Electronic Systems, 56, 1767\u20131782.","journal-title":"IEEE Transactions on Aerospace and Electronic Systems"},{"key":"11367_CR20","unstructured":"Tai, X., Lin, Z., Fu, M., & Sun, Y. (2013). A new distributed state estimation technique for power networks. In: Proceedings of the 2013 American Control Conference, Washington, DC, USA, 17\u201319; pp. 3338\u20133343."},{"key":"11367_CR21","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/j.automatica.2018.05.012","volume":"95","author":"Z Wu","year":"2018","unstructured":"Wu, Z., Fu, M., Xu, Y., & Lu, R. (2018). A distributed Kalman filtering algorithm with fast finite-time convergence for sensor networks. Automatica, 95, 63\u201372.","journal-title":"Automatica"},{"key":"11367_CR22","doi-asserted-by":"publisher","first-page":"1175418","DOI":"10.3389\/frobt.2023.1175418","volume":"10","author":"Z Zhang","year":"2023","unstructured":"Zhang, Z., Mayberry, S. T., Wu, W., & Zhang, F. (2023). Distributed cooperative Kalman filter constrained by advection-diffusion equation for mobile sensor networks. Frontiers in Robotics and AI, 10, 1175418.","journal-title":"Frontiers in Robotics and AI"},{"key":"11367_CR23","doi-asserted-by":"crossref","unstructured":"Moradi, A., Venkategowda, N. K. D., & Werner, S. (2023). otal variation-based distributed kalman filtering for resiliency against byzantines. In: IEEE Sensors Journal, vol. 23, no. 4, pp. 4228\u20134238.","DOI":"10.1109\/JSEN.2022.3233700"},{"key":"11367_CR24","doi-asserted-by":"crossref","unstructured":"Yan, J., Yang, X., Mo, Y., & You, K. (2022). A distributed implementation of steady-state Kalman filter. IEEE Transactions on Automatic Control, early access.","DOI":"10.23919\/CCC52363.2021.9550572"},{"issue":"4","key":"11367_CR25","doi-asserted-by":"publisher","first-page":"2711","DOI":"10.1002\/rnc.7105","volume":"34","author":"H Chen","year":"2024","unstructured":"Chen, H., Liu, J., Wang, J., Yan, X., & Xin, M. (2024). A distributed diffusion Kalman filter with event-triggered mechanism and guaranteed stability. International Journal of Robust and Nonlinear Control, 34(4), 2711\u20132728.","journal-title":"International Journal of Robust and Nonlinear Control"},{"key":"11367_CR26","doi-asserted-by":"crossref","unstructured":"Luo, Q., Li, S., Yan, X., Wang, C., Zhou, Z., & Jia, G. (2024). An improved two-phase robust distributed Kalman filter. Signal Processing, p. 109438.","DOI":"10.1016\/j.sigpro.2024.109438"},{"issue":"4","key":"11367_CR27","doi-asserted-by":"publisher","first-page":"2457","DOI":"10.1016\/j.jfranklin.2022.12.038","volume":"360","author":"M Zhu","year":"2023","unstructured":"Zhu, M., Sui, T., & Wang, R. (2023). Distributed Kalman filtering over sensor networks with fading measurements and random link failures. Journal of the Franklin Institute, 360(4), 2457\u20132475.","journal-title":"Journal of the Franklin Institute"},{"key":"11367_CR28","unstructured":"Zhang, Q., Zhang, L. (2019). Stability Analysis of the Kalman Predictor. International Journal of Control, Taylor and Francis, pp. 1\u201316. ff10.1080\/00207179.2019.1638971ff. ffhal-02373906ff"},{"key":"11367_CR29","volume-title":"Adaptive filter theory","author":"S Haykin","year":"2002","unstructured":"Haykin, S. (2002). Adaptive filter theory (4th ed.). Englewood Cliffs, NJ, USA: Prentice-Hall.","edition":"4"},{"key":"11367_CR30","doi-asserted-by":"crossref","unstructured":"Khan, Noor M., Raza, Hasan. (2017).Processing-efficient distributed adaptive RLS filtering for computationally constrained platforms. Wireless Communications and Mobile Computing, vol. 2017, Article ID 1248796, 7 pages.","DOI":"10.1155\/2017\/1248796"},{"key":"11367_CR31","unstructured":"Weikert, O. E. (2007). Blinde Demodulation in MIMO-Ubertragungssystemen, Ph.D. dissertation, Helmut Schmidt University\/University of the Federal Armed Forces Hamburg, dissertation.de, ISBN 978-3-86624-273-9."},{"issue":"2","key":"11367_CR32","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1109\/26.983312","volume":"50","author":"Z Liu","year":"2002","unstructured":"Liu, Z., Ma, X., & Giannakis, G. B. (2002). Space-time coding and Kalman filtering for time-selective fading channels. IEEE Transactions on Communications, 50(2), 183\u2013186.","journal-title":"IEEE Transactions on Communications"},{"issue":"5","key":"11367_CR33","doi-asserted-by":"publisher","first-page":"1065","DOI":"10.1109\/78.995063","volume":"50","author":"C Komninakis","year":"2002","unstructured":"Komninakis, C., Fragouli, C., Sayed, A. H., & Wesel, R. D. (2002). Multi-input multi-output fading channel tracking and equalization using Kalman estimation. IEEE Transactions on Signal Processing, 50(5), 1065\u20131076.","journal-title":"IEEE Transactions on Signal Processing"},{"key":"11367_CR34","unstructured":"Yano, K., & Yoshida, S. (2005). CDMA non-linear interference canceller with multi-beam reception. In: Fifth international conference on information, communications and signal processing (pp. 6\u201310), Bangkok, Thailand."},{"key":"11367_CR35","doi-asserted-by":"crossref","unstructured":"Koivo, N., Heikki, E. M. (2009). Channel modeling. In: Systems Engineering in Wireless Communications, Wiley, pp. 69\u201398.","DOI":"10.1002\/9780470021804.ch3"},{"key":"11367_CR36","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1016\/j.sysconle.2017.07.011","volume":"107","author":"Q Zhang","year":"2017","unstructured":"Zhang, Q. (2017). On stability of the kalman filter for discrete time output error systems. Systems and Control Letters, Elsevier, 107, 84\u201391.","journal-title":"Systems and Control Letters, Elsevier"}],"container-title":["Wireless Personal Communications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11277-024-11367-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11277-024-11367-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11277-024-11367-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,4]],"date-time":"2024-07-04T16:28:27Z","timestamp":1720110507000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11277-024-11367-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6]]},"references-count":36,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["11367"],"URL":"https:\/\/doi.org\/10.1007\/s11277-024-11367-x","relation":{},"ISSN":["0929-6212","1572-834X"],"issn-type":[{"value":"0929-6212","type":"print"},{"value":"1572-834X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,6]]},"assertion":[{"value":"11 June 2024","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 June 2024","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that there is no Conflict of interest regarding publication of this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}