{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:38:44Z","timestamp":1760243924537,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2010,6,29]],"date-time":"2010-06-29T00:00:00Z","timestamp":1277769600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>This paper is concerned with networked estimation, where sensor data are transmitted over a network of limited transmission rate. The transmission rate depends on the sampling periods and the quantization bit lengths. To investigate how the sampling periods and the quantization bit lengths affect the estimation performance, an equation to compute the estimation performance is provided. An algorithm is proposed to find sampling periods and quantization bit lengths combination, which gives good estimation performance while satisfying the transmission rate constraint. Through the numerical example, the proposed algorithm is verified.<\/jats:p>","DOI":"10.3390\/s100706406","type":"journal-article","created":{"date-parts":[[2010,6,29]],"date-time":"2010-06-29T11:17:05Z","timestamp":1277810225000},"page":"6406-6420","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Optimization of the Sampling Periods and the Quantization Bit Lengths for Networked Estimation"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2958-5383","authenticated-orcid":false,"given":"Young","family":"Soo Suh","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, University of Ulsan, Namgu, Ulsan 680-749, Korea"}]},{"given":"Young","family":"Sik Ro","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, University of Ulsan, Namgu, Ulsan 680-749, Korea"}]},{"given":"Hee","family":"Jun Kang","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, University of Ulsan, Namgu, Ulsan 680-749, Korea"}]}],"member":"1968","published-online":{"date-parts":[[2010,6,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Zhao, F, and Guibas, L (2004). Wireless Sensor Networks, Elsevier.","DOI":"10.1016\/B978-155860914-3\/50006-7"},{"key":"ref_2","first-page":"119","article-title":"Wireless fieldbus for networked control systems using LR-WPAN","volume":"6","author":"Choi","year":"2008","journal-title":"Int. J. Control Autom. Syst"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1392","DOI":"10.1109\/TAC.2008.925817","article-title":"Optimal sensor querying: General markovian and LQG models with controlled observations","volume":"53","author":"Wu","year":"2008","journal-title":"IEEE Trans. Automat. Contr"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2634","DOI":"10.1016\/j.automatica.2009.07.020","article-title":"Robust fault detection for networked systems with communication delay and data missing","volume":"45","author":"He","year":"2009","journal-title":"Automatica"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"836","DOI":"10.1016\/j.automatica.2008.10.028","article-title":"Robust filtering with stochastic nonlinearities and multiple missing measurements","volume":"45","author":"Wei","year":"2009","journal-title":"Automatica"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1957","DOI":"10.1109\/TSP.2009.2038965","article-title":"Robust H\u221e Filtering for a class of nonlinear networked systems with multiple stochastic communication delays and packet dropouts","volume":"58","author":"Dong","year":"2010","journal-title":"IEEE Trans. Signal Process"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/s12555-009-0104-0","article-title":"Discrimination of visual and haptic rendering delays in networked environments","volume":"7","author":"Lee","year":"2009","journal-title":"Int. J. Control Autom. Syst"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"49","DOI":"10.3390\/s6010049","article-title":"Send-on-delta concept: An event-based data reporting strategy","volume":"65","author":"Miskowicz","year":"2006","journal-title":"Sensors"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1016\/j.automatica.2006.08.022","article-title":"Modified Kalman filter for networked monitoring systems employing a send-on-delta method","volume":"43","author":"Suh","year":"2007","journal-title":"Automatica"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1109\/TAC.1976.1101143","article-title":"Optimization of measurement schedules and sensor designs for linear dynamic systems","volume":"21","author":"Mehra","year":"1976","journal-title":"IEEE Trans. Automat. Contr"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Do, LMK, Suh, YS, and Nguyen, VH (2006, January 18\u201321). Networked Kalman filter with sensor transmission interval optimization. Busan, Korea.","DOI":"10.1109\/SICE.2006.315747"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1016\/j.jprocont.2007.10.002","article-title":"Optimal sensor network design for multirate systems","volume":"18","author":"Kadu","year":"2008","journal-title":"J. Process Control"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Gersho, A, and Gray, RM (1992). Vector Quantization and Signal Compression, Kluwer Academic Publishers.","DOI":"10.1007\/978-1-4615-3626-0"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1384","DOI":"10.1109\/9.948466","article-title":"Stabilization of linear systems with limited information","volume":"46","author":"Elia","year":"2001","journal-title":"IEEE Trans. Automat. Contr"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Luong-Van, D, Tordon, MJ, and Katupitiya, J (2004, January 14\u201317). Covariance profiling for an adaptive Kalman filter to suppress sensor quantization effects. Paradise Island, Bahamas.","DOI":"10.1109\/CDC.2004.1428865"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Sun, S, Lin, J, Xie, L, and Xiao, W (2007, January 26\u201328). Quantized Kalman filtering. Singapore.","DOI":"10.1109\/ISIC.2007.4450852"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Wen, C, Tang, X, and Ge, Q (2008, January 21\u201322). Decentralized quantized Kalman filter with limited bandwidth. Shanghai, China.","DOI":"10.1109\/IITA.2008.396"},{"key":"ref_18","unstructured":"Lee, DJ, and Tomizuka, M (2003, January 4\u20136). Multirate Optimal State Estimation with Sensor Fusion. Denver, CO, USA."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Chen, T, and Francis, B (1995). Optimal Sampled-Data Control Systems, Springer-Verlag.","DOI":"10.1007\/978-1-4471-3037-6"},{"key":"ref_20","unstructured":"Brown, RG, and Hwang, PYC (1997). Introduction to Random Signals and Applied Kalman Filtering, John Wiley & Sons."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1779","DOI":"10.1016\/S0005-1098(01)00147-9","article-title":"Monotonicity of the optimal cost in the discrete-time regulator problem and Schur complements","volume":"37","author":"Clements","year":"2001","journal-title":"Automatica"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/10\/7\/6406\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T22:02:48Z","timestamp":1760220168000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/10\/7\/6406"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,6,29]]},"references-count":21,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2010,7]]}},"alternative-id":["s100706406"],"URL":"https:\/\/doi.org\/10.3390\/s100706406","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2010,6,29]]}}}