Kalman filter (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Kalman filter" in English language version.

Last modified: 16:03:36, 5 September 2026 (UTC)

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Lora-Millan, Julio S.; Hidalgo, Andres F.; Rocon, Eduardo (2021). "An IMUs-Based Extended Kalman Filter to Estimate Gait Lower Limb Sagittal Kinematics for the Control of Wearable Robotic Devices". IEEE Access. 9: 144540–144554. Bibcode:2021IEEEA...9n4540L. doi:10.1109/ACCESS.2021.3122160. hdl:10261/254265. ISSN 2169-3536. S2CID 239938971.
Humpherys, Jeffrey (2012). "A Fresh Look at the Kalman Filter". SIAM Review. 54 (4): 801–823. Bibcode:2012SIAMR..54..801H. doi:10.1137/100799666.
Stepanov, O. A. (15 May 2011). "Kalman filtering: Past and present. An outlook from Russia. (On the occasion of the 80th birthday of Rudolf Emil Kalman)" (PDF). Gyroscopy and Navigation. 2 (2): 105. Bibcode:2011GyNav...2...99S. doi:10.1134/S2075108711020076. S2CID 53120402.
Roweis, S; Ghahramani, Z (1999). "A unifying review of linear gaussian models" (PDF). Neural Computation. 11 (2): 305–45. Bibcode:1999NeCom..11..305R. doi:10.1162/089976699300016674. PMID 9950734. S2CID 2590898.
Ishihara, J.Y.; Terra, M.H.; Campos, J.C.T. (2006). "Robust Kalman Filter for Descriptor Systems". IEEE Transactions on Automatic Control. 51 (8): 1354. Bibcode:2006ITAC...51.1354I. doi:10.1109/TAC.2006.878741. S2CID 12741796.
Terra, Marco H.; Cerri, Joao P.; Ishihara, Joao Y. (2014). "Optimal Robust Linear Quadratic Regulator for Systems Subject to Uncertainties". IEEE Transactions on Automatic Control. 59 (9): 2586–2591. Bibcode:2014ITAC...59.2586T. doi:10.1109/TAC.2014.2309282. S2CID 8810105.
Rajamani, Murali R.; Rawlings, James B. (2009). "Estimation of the disturbance structure from data using semidefinite programming and optimal weighting". Automatica. 45 (1): 142–148. Bibcode:2009Autom..45..142R. doi:10.1016/j.automatica.2008.05.032. S2CID 5699674.
Maryak, J.L.; Spall, J.C.; Heydon, B.D. (2004). "Use of the Kalman Filter for Inference in State-Space Models with Unknown Noise Distributions". IEEE Transactions on Automatic Control. 49 (1): 87–90. Bibcode:2004ITAC...49...87M. doi:10.1109/TAC.2003.821415. S2CID 21143516.
Herbst, Daniel C. (2024). "Exponential Convergence Rate and Oscillatory Modes of the Asymptotic Kalman Filter Covariance". IEEE Access. 12: 188137–188153. Bibcode:2024IEEEA..12r8137H. doi:10.1109/ACCESS.2024.3508578. ISSN 2169-3536.
Bierman, G.J. (1977). "Factorization Methods for Discrete Sequential Estimation". Factorization Methods for Discrete Sequential Estimation. Bibcode:1977fmds.book.....B.
Särkkä, S.; Ángel F. García-Fernández (2021). "Temporal Parallelization of Bayesian Smoothers". IEEE Transactions on Automatic Control. 66 (1): 299–306. arXiv:1905.13002. Bibcode:2021ITAC...66..299S. doi:10.1109/TAC.2020.2976316. S2CID 213695560.
Masreliez, C. Johan; Martin, R D (1977). "Robust Bayesian estimation for the linear model and robustifying the Kalman filter". IEEE Transactions on Automatic Control. 22 (3): 361–371. Bibcode:1977ITAC...22..361M. doi:10.1109/TAC.1977.1101538.
Rauch, H.E.; Tung, F.; Striebel, C. T. (August 1965). "Maximum likelihood estimates of linear dynamic systems". AIAA Journal. 3 (8): 1445–1450. Bibcode:1965AIAAJ...3.1445R. doi:10.2514/3.3166.
Gibbs, Richard G. (February 2011). "Square Root Modified Bryson–Frazier Smoother". IEEE Transactions on Automatic Control. 56 (2): 452–456. Bibcode:2011ITAC...56..452G. doi:10.1109/TAC.2010.2089753.
Einicke, G.A. (March 2006). "Optimal and Robust Noncausal Filter Formulations". IEEE Transactions on Signal Processing. 54 (3): 1069–1077. Bibcode:2006ITSP...54.1069E. doi:10.1109/TSP.2005.863042. S2CID 15376718.
Einicke, G.A. (April 2007). "Asymptotic Optimality of the Minimum-Variance Fixed-Interval Smoother". IEEE Transactions on Signal Processing. 55 (4): 1543–1547. Bibcode:2007ITSP...55.1543E. doi:10.1109/TSP.2006.889402. S2CID 16218530.
Einicke, G.A.; Ralston, J.C.; Hargrave, C.O.; Reid, D.C.; Hainsworth, D.W. (December 2008). "Longwall Mining Automation. An Application of Minimum-Variance Smoothing". IEEE Control Systems Magazine. 28 (6): 28–37. Bibcode:2008ICSys..28f..28E. doi:10.1109/MCS.2008.929281. S2CID 36072082.
Einicke, G.A. (December 2009). "Asymptotic Optimality of the Minimum-Variance Fixed-Interval Smoother". IEEE Transactions on Automatic Control. 54 (12): 2904–2908. Bibcode:2007ITSP...55.1543E. doi:10.1109/TSP.2006.889402. S2CID 16218530.
Einicke, G.A. (December 2014). "Iterative Frequency-Weighted Filtering and Smoothing Procedures". IEEE Signal Processing Letters. 21 (12): 1467–1470. Bibcode:2014ISPL...21.1467E. doi:10.1109/LSP.2014.2341641. S2CID 13569109.
Julier, Simon J.; Uhlmann, Jeffrey K. (2004). "Unscented filtering and nonlinear estimation". Proceedings of the IEEE. 92 (3): 401–422. Bibcode:2004IEEEP..92..401J. doi:10.1109/JPROC.2003.823141. S2CID 9614092.
Julier, Simon J.; Uhlmann, Jeffrey K. (1997). "New extension of the Kalman filter to nonlinear systems" (PDF). In Kadar, Ivan (ed.). Signal Processing, Sensor Fusion, and Target Recognition VI. Proceedings of SPIE. Vol. 3. pp. 182–193. Bibcode:1997SPIE.3068..182J. CiteSeerX 10.1.1.5.2891. doi:10.1117/12.280797. S2CID 7937456. Archived from the original (PDF) on 2021-08-26. Retrieved 2008-05-03. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help)
Menegaz, H. M. T.; Ishihara, J. Y.; Borges, G. A.; Vargas, A. N. (October 2015). "A Systematization of the Unscented Kalman Filter Theory". IEEE Transactions on Automatic Control. 60 (10): 2583–2598. Bibcode:2015ITAC...60.2583M. doi:10.1109/tac.2015.2404511. hdl:20.500.11824/251. ISSN 0018-9286. S2CID 12606055.
Gustafsson, Fredrik; Hendeby, Gustaf (2012). "Some Relations Between Extended and Unscented Kalman Filters". IEEE Transactions on Signal Processing. 60 (2): 545–555. Bibcode:2012ITSP...60..545G. doi:10.1109/tsp.2011.2172431. S2CID 17876531.
Sarkka, Simo (September 2007). "On Unscented Kalman Filtering for State Estimation of Continuous-Time Nonlinear Systems". IEEE Transactions on Automatic Control. 52 (9): 1631–1641. Bibcode:2007ITAC...52.1631S. doi:10.1109/TAC.2007.904453.
Kailath, T. (1968). "An innovations approach to least-squares estimation--Part I: Linear filtering in additive white noise". IEEE Transactions on Automatic Control. 13 (6): 646–655. Bibcode:1968ITAC...13..646K. doi:10.1109/TAC.1968.1099025.
Carmi, Avishy; Gurfil, Pini; Kanevsky, Dimitri (2010). "Methods for sparse signal recovery using Kalman filtering with embedded pseudo-measurement norms and quasi-norms". IEEE Transactions on Signal Processing. 58 (4): 2405–2409. Bibcode:2010ITSP...58.2405C. doi:10.1109/TSP.2009.2038959. S2CID 10569233.
Zachariah, Dave; Chatterjee, Saikat; Jansson, Magnus (2012). "Dynamic Iterative Pursuit". IEEE Transactions on Signal Processing. 60 (9): 4967–4972. arXiv:1206.2496. Bibcode:2012ITSP...60.4967Z. doi:10.1109/TSP.2012.2203813. S2CID 18467024.
Vasebi, Amir; Partovibakhsh, Maral; Bathaee, S. Mohammad Taghi (2007). "A novel combined battery model for state-of-charge estimation in lead-acid batteries based on extended Kalman filter for hybrid electric vehicle applications". Journal of Power Sources. 174 (1): 30–40. Bibcode:2007JPS...174...30V. doi:10.1016/j.jpowsour.2007.04.011.
Vasebi, A.; Bathaee, S.M.T.; Partovibakhsh, M. (2008). "Predicting state of charge of lead-acid batteries for hybrid electric vehicles by extended Kalman filter". Energy Conversion and Management. 49 (1): 75–82. Bibcode:2008ECM....49...75V. doi:10.1016/j.enconman.2007.05.017.
Fruhwirth, R. (1987). "Application of Kalman filtering to track and vertex fitting". Nuclear Instruments and Methods in Physics Research Section A. 262 (2–3): 444–450. Bibcode:1987NIMPA.262..444F. doi:10.1016/0168-9002(87)90887-4.
Boulfelfel, D.; Rangayyan, R.M.; Hahn, L.J.; Kloiber, R.; Kuduvalli, G.R. (1994). "Two-dimensional restoration of single photon emission computed tomography images using the Kalman filter". IEEE Transactions on Medical Imaging. 13 (1): 102–109. Bibcode:1994ITMI...13..102B. doi:10.1109/42.276148. PMID 18218487.
Bock, Y.; Crowell, B.; Webb, F.; Kedar, S.; Clayton, R.; Miyahara, B. (2008). "Fusion of High-Rate GPS and Seismic Data: Applications to Early Warning Systems for Mitigation of Geological Hazards". AGU Fall Meeting Abstracts. 43: G43B–01. Bibcode:2008AGUFM.G43B..01B.

archive.org (Global: 6^th place; English: 6^th place)

Stratonovich, R. L. (1960). "Применение теории марковских процессов для оптимальной фильтрации сигналов" [Application of the Markov processes theory to optimal filtering]. Radio Engineering and Electronic Physics (in Russian). 5 (11): 1–19.
Hamilton, J. (1994). "Chapter 13, 'The Kalman Filter'". Time Series Analysis. Princeton University Press. ISBN 0-691-04289-6.
Bar-Shalom, Yaakov; Li, X.-Rong; Kirubarajan, Thiagalingam (2001). Estimation with Applications to Tracking and Navigation. New York, USA: John Wiley & Sons, Inc. pp. 319 ff. doi:10.1002/0471221279. ISBN 0-471-41655-X.
Anderson, Brian D. O.; Moore, John B. (1979). Optimal Filtering. New York: Prentice Hall. pp. 129–133. ISBN 978-0-13-638122-8.
Bierman, G.J. (1977). "Factorization Methods for Discrete Sequential Estimation". Factorization Methods for Discrete Sequential Estimation. Bibcode:1977fmds.book.....B.
Bar-Shalom, Yaakov; Li, X. Rong; Kirubarajan, Thiagalingam (July 2001). Estimation with Applications to Tracking and Navigation. New York: John Wiley & Sons. pp. 308–317. ISBN 978-0-471-41655-5.
Anderson, Brian D. O.; Moore, John B. (1979). Optimal Filtering. Englewood Cliffs, NJ: Prentice Hall, Inc. pp. 176–190. ISBN 978-0-13-638122-8.
Bar-Shalom, Yaakov; Li, X.-Rong; Kirubarajan, Thiagalingam (2001). Estimation with Applications to Tracking and Navigation. New York, USA: John Wiley & Sons, Inc. pp. 421 ff. doi:10.1002/0471221279. ISBN 0-471-41655-X.
Jazwinski, Andrew H. (1970). Stochastic processes and filtering theory. New York: Academic Press. ISBN 0-12-381550-9.
Harvey, Andrew C. (1994). "Applications of the Kalman filter in econometrics". In Bewley, Truman (ed.). Advances in Econometrics. New York: Cambridge University Press. pp. 285f. ISBN 978-0-521-46726-1.

arxiv.org (Global: 49^th place; English: 31^st place)

Greenberg, Ido; Yannay, Netanel; Mannor, Shie (2023-12-15). "Optimization or Architecture: How to Hack Kalman Filtering". Advances in Neural Information Processing Systems. 36: 50482–50505. arXiv:2310.00675.
Särkkä, S.; Ángel F. García-Fernández (2021). "Temporal Parallelization of Bayesian Smoothers". IEEE Transactions on Automatic Control. 66 (1): 299–306. arXiv:1905.13002. Bibcode:2021ITAC...66..299S. doi:10.1109/TAC.2020.2976316. S2CID 213695560.
Vaswani, Namrata (2008). "Kalman filtered Compressed Sensing". 2008 15th IEEE International Conference on Image Processing. pp. 893–896. arXiv:0804.0819. doi:10.1109/ICIP.2008.4711899. ISBN 978-1-4244-1765-0. S2CID 9282476.
Zachariah, Dave; Chatterjee, Saikat; Jansson, Magnus (2012). "Dynamic Iterative Pursuit". IEEE Transactions on Signal Processing. 60 (9): 4967–4972. arXiv:1206.2496. Bibcode:2012ITSP...60.4967Z. doi:10.1109/TSP.2012.2203813. S2CID 18467024.
Särkkä, Simo; Hartikainen, Jouni; Svensson, Lennart; Sandblom, Fredrik (2015-04-22). "On the relation between Gaussian process quadratures and sigma-point methods". arXiv:1504.05994 [stat.ME].

berkeley.edu (Global: 621^st place; English: 429^th place)

people.eecs.berkeley.edu

Walrand, Jean; Dimakis, Antonis (August 2006). Random processes in Systems -- Lecture Notes (PDF). pp. 69–70. Archived from the original (PDF) on 2019-05-07. Retrieved 2019-05-07.

books.google.com (Global: 3^rd place; English: 3^rd place)

Paul Zarchan; Howard Musoff (2000). Fundamentals of Kalman Filtering: A Practical Approach. American Institute of Aeronautics and Astronautics, Incorporated. ISBN 978-1-56347-455-2.
Lauritzen, S. L. (2002). Thiele: Pioneer in Statistics. New York: Oxford University Press. p. 41. ISBN 978-0-19-850972-1. He solves the problem of estimating the regression coefficients and predicting the values of the Brownian motion by the method of least squares and gives an elegant recursive procedure for carrying out the calculations. The procedure is nowadays known as Kalman filtering.

caltech.edu (Global: 240^th place; English: 473^rd place)

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Roweis, S; Ghahramani, Z (1999). "A unifying review of linear gaussian models" (PDF). Neural Computation. 11 (2): 305–45. Bibcode:1999NeCom..11..305R. doi:10.1162/089976699300016674. PMID 9950734. S2CID 2590898.

cmu.edu (Global: 2,125^th place; English: 1,347^th place)

frc.ri.cmu.edu

Kelly, Alonzo (1994). "A 3D state space formulation of a navigation Kalman filter for autonomous vehicles" (PDF). DTIC Document: 13. Archived (PDF) from the original on December 30, 2014. 2006 Corrected Version Archived 2017-01-10 at the Wayback Machine

doi.org (Global: 2^nd place; English: 2^nd place)

Lora-Millan, Julio S.; Hidalgo, Andres F.; Rocon, Eduardo (2021). "An IMUs-Based Extended Kalman Filter to Estimate Gait Lower Limb Sagittal Kinematics for the Control of Wearable Robotic Devices". IEEE Access. 9: 144540–144554. Bibcode:2021IEEEA...9n4540L. doi:10.1109/ACCESS.2021.3122160. hdl:10261/254265. ISSN 2169-3536. S2CID 239938971.
Kalita, Diana; Lyakhov, Pavel (December 2022). "Moving Object Detection Based on a Combination of Kalman Filter and Median Filtering". Big Data and Cognitive Computing. 6 (4): 142. doi:10.3390/bdcc6040142. ISSN 2504-2289.
Wolpert, Daniel; Ghahramani, Zoubin (2000). "Computational principles of movement neuroscience". Nature Neuroscience. 3: 1212–7. doi:10.1038/81497. PMID 11127840. S2CID 736756.
Kalman, R. E. (1960). "A New Approach to Linear Filtering and Prediction Problems". Journal of Basic Engineering. 82: 35–45. doi:10.1115/1.3662552. S2CID 1242324.
Humpherys, Jeffrey (2012). "A Fresh Look at the Kalman Filter". SIAM Review. 54 (4): 801–823. Bibcode:2012SIAMR..54..801H. doi:10.1137/100799666.
Uhlmann, Jeffrey; Julier, Simon (2022). "Gaussianity and the Kalman Filter: A Simple Yet Complicated Relationship" (PDF). Journal de Ciencia e Ingeniería. 14 (1): 21–26. doi:10.46571/JCI.2022.1.2. S2CID 251143915. See Uhlmann and Julier for roughly a dozen instances of this misconception in the literature.
Li, Wangyan; Wang, Zidong; Wei, Guoliang; Ma, Lifeng; Hu, Jun; Ding, Derui (2015). "A Survey on Multisensor Fusion and Consensus Filtering for Sensor Networks". Discrete Dynamics in Nature and Society. 2015: 1–12. doi:10.1155/2015/683701. ISSN 1026-0226.
Li, Wangyan; Wang, Zidong; Ho, Daniel W. C.; Wei, Guoliang (2019). "On Boundedness of Error Covariances for Kalman Consensus Filtering Problems". IEEE Transactions on Automatic Control. 65 (6): 2654–2661. doi:10.1109/TAC.2019.2942826. ISSN 0018-9286. S2CID 204196474.
Lauritzen, S. L. (December 1981). "Time series analysis in 1880. A discussion of contributions made by T.N. Thiele". International Statistical Review. 49 (3): 319–331. doi:10.2307/1402616. JSTOR 1402616. He derives a recursive procedure for estimating the regression component and predicting the Brownian motion. The procedure is now known as Kalman filtering.
Stepanov, O. A. (15 May 2011). "Kalman filtering: Past and present. An outlook from Russia. (On the occasion of the 80th birthday of Rudolf Emil Kalman)" (PDF). Gyroscopy and Navigation. 2 (2): 105. Bibcode:2011GyNav...2...99S. doi:10.1134/S2075108711020076. S2CID 53120402.
Gaylor, David; Lightsey, E. Glenn (2003). "GPS/INS Kalman Filter Design for Spacecraft Operating in the Proximity of International Space Station". AIAA Guidance, Navigation, and Control Conference and Exhibit. doi:10.2514/6.2003-5445. ISBN 978-1-62410-090-1.
Ingvar Strid; Karl Walentin (April 2009). "Block Kalman Filtering for Large-Scale DSGE Models". Computational Economics. 33 (3): 277–304. CiteSeerX 10.1.1.232.3790. doi:10.1007/s10614-008-9160-4. hdl:10419/81929. S2CID 3042206. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)
Roweis, S; Ghahramani, Z (1999). "A unifying review of linear gaussian models" (PDF). Neural Computation. 11 (2): 305–45. Bibcode:1999NeCom..11..305R. doi:10.1162/089976699300016674. PMID 9950734. S2CID 2590898.
Ishihara, J.Y.; Terra, M.H.; Campos, J.C.T. (2006). "Robust Kalman Filter for Descriptor Systems". IEEE Transactions on Automatic Control. 51 (8): 1354. Bibcode:2006ITAC...51.1354I. doi:10.1109/TAC.2006.878741. S2CID 12741796.
Terra, Marco H.; Cerri, Joao P.; Ishihara, Joao Y. (2014). "Optimal Robust Linear Quadratic Regulator for Systems Subject to Uncertainties". IEEE Transactions on Automatic Control. 59 (9): 2586–2591. Bibcode:2014ITAC...59.2586T. doi:10.1109/TAC.2014.2309282. S2CID 8810105.
Rajamani, Murali R.; Rawlings, James B. (2009). "Estimation of the disturbance structure from data using semidefinite programming and optimal weighting". Automatica. 45 (1): 142–148. Bibcode:2009Autom..45..142R. doi:10.1016/j.automatica.2008.05.032. S2CID 5699674.
Bar-Shalom, Yaakov; Li, X.-Rong; Kirubarajan, Thiagalingam (2001). Estimation with Applications to Tracking and Navigation. New York, USA: John Wiley & Sons, Inc. pp. 319 ff. doi:10.1002/0471221279. ISBN 0-471-41655-X.
Three optimality tests with numerical examples are described in Peter, Matisko (2012). "Optimality Tests and Adaptive Kalman Filter". 16th IFAC Symposium on System Identification. IFAC Proceedings Volumes. Vol. 45. pp. 1523–1528. doi:10.3182/20120711-3-BE-2027.00011. ISBN 978-3-902823-06-9.
Spall, James C. (1995). "The Kantorovich inequality for error analysis of the Kalman filter with unknown noise distributions". Automatica. 31 (10): 1513–1517. doi:10.1016/0005-1098(95)00069-9.
Maryak, J.L.; Spall, J.C.; Heydon, B.D. (2004). "Use of the Kalman Filter for Inference in State-Space Models with Unknown Noise Distributions". IEEE Transactions on Automatic Control. 49 (1): 87–90. Bibcode:2004ITAC...49...87M. doi:10.1109/TAC.2003.821415. S2CID 21143516.
Kalman, Rudolf Emil; Englar, T. S.; Bucy, Richard S. (1962). Fundamental study of adaptive control systems (Report). Clearinghouse, US Department of Commerce. doi:10.21236/AD0282873. ASD-TR-61-27.
Herbst, Daniel C. (2024). "Exponential Convergence Rate and Oscillatory Modes of the Asymptotic Kalman Filter Covariance". IEEE Access. 12: 188137–188153. Bibcode:2024IEEEA..12r8137H. doi:10.1109/ACCESS.2024.3508578. ISSN 2169-3536.
Särkkä, S.; Ángel F. García-Fernández (2021). "Temporal Parallelization of Bayesian Smoothers". IEEE Transactions on Automatic Control. 66 (1): 299–306. arXiv:1905.13002. Bibcode:2021ITAC...66..299S. doi:10.1109/TAC.2020.2976316. S2CID 213695560.
Masreliez, C. Johan; Martin, R D (1977). "Robust Bayesian estimation for the linear model and robustifying the Kalman filter". IEEE Transactions on Automatic Control. 22 (3): 361–371. Bibcode:1977ITAC...22..361M. doi:10.1109/TAC.1977.1101538.
Rauch, H.E.; Tung, F.; Striebel, C. T. (August 1965). "Maximum likelihood estimates of linear dynamic systems". AIAA Journal. 3 (8): 1445–1450. Bibcode:1965AIAAJ...3.1445R. doi:10.2514/3.3166.
Gibbs, Richard G. (February 2011). "Square Root Modified Bryson–Frazier Smoother". IEEE Transactions on Automatic Control. 56 (2): 452–456. Bibcode:2011ITAC...56..452G. doi:10.1109/TAC.2010.2089753.
Gibbs, Richard G. (2013). "New Kalman filter and smoother consistency tests". Automatica. 49 (10): 3141–3144. doi:10.1016/j.automatica.2013.07.013.
Einicke, G.A. (March 2006). "Optimal and Robust Noncausal Filter Formulations". IEEE Transactions on Signal Processing. 54 (3): 1069–1077. Bibcode:2006ITSP...54.1069E. doi:10.1109/TSP.2005.863042. S2CID 15376718.
Einicke, G.A. (April 2007). "Asymptotic Optimality of the Minimum-Variance Fixed-Interval Smoother". IEEE Transactions on Signal Processing. 55 (4): 1543–1547. Bibcode:2007ITSP...55.1543E. doi:10.1109/TSP.2006.889402. S2CID 16218530.
Einicke, G.A.; Ralston, J.C.; Hargrave, C.O.; Reid, D.C.; Hainsworth, D.W. (December 2008). "Longwall Mining Automation. An Application of Minimum-Variance Smoothing". IEEE Control Systems Magazine. 28 (6): 28–37. Bibcode:2008ICSys..28f..28E. doi:10.1109/MCS.2008.929281. S2CID 36072082.
Einicke, G.A. (December 2009). "Asymptotic Optimality of the Minimum-Variance Fixed-Interval Smoother". IEEE Transactions on Automatic Control. 54 (12): 2904–2908. Bibcode:2007ITSP...55.1543E. doi:10.1109/TSP.2006.889402. S2CID 16218530.
Fletcher, Harvey; Munson, W. A. (October 1933). "Loudness, Its Definition, Measurement and Calculation" (PDF). The Bell System Technical Journal. 12 (4): 377–430. doi:10.1002/j.1538-7305.1933.tb00403.x.
Einicke, G.A. (December 2014). "Iterative Frequency-Weighted Filtering and Smoothing Procedures". IEEE Signal Processing Letters. 21 (12): 1467–1470. Bibcode:2014ISPL...21.1467E. doi:10.1109/LSP.2014.2341641. S2CID 13569109.
Biswas, Sanat K.; Qiao, Li; Dempster, Andrew G. (2020-12-01). "A quantified approach of predicting suitability of using the Unscented Kalman Filter in a non-linear application". Automatica. 122 109241. doi:10.1016/j.automatica.2020.109241. ISSN 0005-1098. S2CID 225028760.
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Lora-Millan, Julio S.; Hidalgo, Andres F.; Rocon, Eduardo (2021). "An IMUs-Based Extended Kalman Filter to Estimate Gait Lower Limb Sagittal Kinematics for the Control of Wearable Robotic Devices". IEEE Access. 9: 144540–144554. Bibcode:2021IEEEA...9n4540L. doi:10.1109/ACCESS.2021.3122160. hdl:10261/254265. ISSN 2169-3536. S2CID 239938971.
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Gustafsson, Fredrik; Hendeby, Gustaf (2012). "Some Relations Between Extended and Unscented Kalman Filters". IEEE Transactions on Signal Processing. 60 (2): 545–555. Bibcode:2012ITSP...60..545G. doi:10.1109/tsp.2011.2172431. S2CID 17876531.

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Lacey, Tony. "Chapter 11 Tutorial: The Kalman Filter" (PDF).

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ncbi.nlm.nih.gov

Burkhart, Michael C.; Brandman, David M.; Franco, Brian; Hochberg, Leigh; Harrison, Matthew T. (2020). "The Discriminative Kalman Filter for Bayesian Filtering with Nonlinear and Nongaussian Observation Models". Neural Computation. 32 (5): 969–1017. doi:10.1162/neco_a_01275. PMC 8259355. PMID 32187000. S2CID 212748230. Retrieved 26 March 2021.
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ox.ac.uk (Global: 541^st place; English: 356^th place)

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Reid, Ian; Term, Hilary. "Estimation II" (PDF). www.robots.ox.ac.uk. Oxford University. Retrieved 6 August 2014.

psu.edu (Global: 299^th place; English: 159^th place)

citeseerx.ist.psu.edu

Ingvar Strid; Karl Walentin (April 2009). "Block Kalman Filtering for Large-Scale DSGE Models". Computational Economics. 33 (3): 277–304. CiteSeerX 10.1.1.232.3790. doi:10.1007/s10614-008-9160-4. hdl:10419/81929. S2CID 3042206. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)
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repec.org (Global: 4,857^th place; English: 3,422^nd place)

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Martin Møller Andreasen (2008). "Non-linear DSGE Models, The Central Difference Kalman Filter, and The Mean Shifted Particle Filter".

researchgate.net (Global: 96^th place; English: 89^th place)

Bania, P.; Baranowski, J. (12 December 2016). Field Kalman Filter and its approximation. IEEE 55th Conference on Decision and Control (CDC). Las Vegas, NV, USA: IEEE. pp. 2875–2880.

riksbank.se (Global: low place; English: low place)

Ingvar Strid; Karl Walentin (April 2009). "Block Kalman Filtering for Large-Scale DSGE Models". Computational Economics. 33 (3): 277–304. CiteSeerX 10.1.1.232.3790. doi:10.1007/s10614-008-9160-4. hdl:10419/81929. S2CID 3042206. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)

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semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Lora-Millan, Julio S.; Hidalgo, Andres F.; Rocon, Eduardo (2021). "An IMUs-Based Extended Kalman Filter to Estimate Gait Lower Limb Sagittal Kinematics for the Control of Wearable Robotic Devices". IEEE Access. 9: 144540–144554. Bibcode:2021IEEEA...9n4540L. doi:10.1109/ACCESS.2021.3122160. hdl:10261/254265. ISSN 2169-3536. S2CID 239938971.
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Ingvar Strid; Karl Walentin (April 2009). "Block Kalman Filtering for Large-Scale DSGE Models". Computational Economics. 33 (3): 277–304. CiteSeerX 10.1.1.232.3790. doi:10.1007/s10614-008-9160-4. hdl:10419/81929. S2CID 3042206. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)
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Gustafsson, Fredrik; Hendeby, Gustaf (2012). "Some Relations Between Extended and Unscented Kalman Filters". IEEE Transactions on Signal Processing. 60 (2): 545–555. Bibcode:2012ITSP...60..545G. doi:10.1109/tsp.2011.2172431. S2CID 17876531.
Van der Merwe, R.; Wan, E.A. (2001). "The square-root unscented Kalman filter for state and parameter-estimation". 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221). Vol. 6. pp. 3461–3464. doi:10.1109/ICASSP.2001.940586. ISBN 0-7803-7041-4. S2CID 7290857.
Wan, E.A.; Van Der Merwe, R. (2000). "The unscented Kalman filter for nonlinear estimation" (PDF). Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373). p. 153. CiteSeerX 10.1.1.361.9373. doi:10.1109/ASSPCC.2000.882463. ISBN 978-0-7803-5800-3. S2CID 13992571. Archived from the original (PDF) on 2012-03-03. Retrieved 2010-01-31. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help)
Burkhart, Michael C.; Brandman, David M.; Franco, Brian; Hochberg, Leigh; Harrison, Matthew T. (2020). "The Discriminative Kalman Filter for Bayesian Filtering with Nonlinear and Nongaussian Observation Models". Neural Computation. 32 (5): 969–1017. doi:10.1162/neco_a_01275. PMC 8259355. PMID 32187000. S2CID 212748230. Retrieved 26 March 2021.
Vaswani, Namrata (2008). "Kalman filtered Compressed Sensing". 2008 15th IEEE International Conference on Image Processing. pp. 893–896. arXiv:0804.0819. doi:10.1109/ICIP.2008.4711899. ISBN 978-1-4244-1765-0. S2CID 9282476.
Carmi, Avishy; Gurfil, Pini; Kanevsky, Dimitri (2010). "Methods for sparse signal recovery using Kalman filtering with embedded pseudo-measurement norms and quasi-norms". IEEE Transactions on Signal Processing. 58 (4): 2405–2409. Bibcode:2010ITSP...58.2405C. doi:10.1109/TSP.2009.2038959. S2CID 10569233.
Zachariah, Dave; Chatterjee, Saikat; Jansson, Magnus (2012). "Dynamic Iterative Pursuit". IEEE Transactions on Signal Processing. 60 (9): 4967–4972. arXiv:1206.2496. Bibcode:2012ITSP...60.4967Z. doi:10.1109/TSP.2012.2203813. S2CID 18467024.

semanticscholar.org

Kalman, R. E. (1960). "A New Approach to Linear Filtering and Prediction Problems". Journal of Basic Engineering. 82: 35–45. doi:10.1115/1.3662552. S2CID 1242324.

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"Autocovariance Least-Squares Toolbox". Jbrwww.che.wisc.edu. Retrieved 2021-08-18.

unb.br (Global: 7,084^th place; English: low place)

lara.unb.br

Wan, E.A.; Van Der Merwe, R. (2000). "The unscented Kalman filter for nonlinear estimation" (PDF). Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373). p. 153. CiteSeerX 10.1.1.361.9373. doi:10.1109/ASSPCC.2000.882463. ISBN 978-0-7803-5800-3. S2CID 13992571. Archived from the original (PDF) on 2012-03-03. Retrieved 2010-01-31. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help)

unc.edu (Global: 1,577^th place; English: 913^th place)

cs.unc.edu

Julier, Simon J.; Uhlmann, Jeffrey K. (1997). "New extension of the Kalman filter to nonlinear systems" (PDF). In Kadar, Ivan (ed.). Signal Processing, Sensor Fusion, and Target Recognition VI. Proceedings of SPIE. Vol. 3. pp. 182–193. Bibcode:1997SPIE.3068..182J. CiteSeerX 10.1.1.5.2891. doi:10.1117/12.280797. S2CID 7937456. Archived from the original (PDF) on 2021-08-26. Retrieved 2008-05-03. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help)

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Uhlmann, Jeffrey; Julier, Simon (2022). "Gaussianity and the Kalman Filter: A Simple Yet Complicated Relationship" (PDF). Journal de Ciencia e Ingeniería. 14 (1): 21–26. doi:10.46571/JCI.2022.1.2. S2CID 251143915. See Uhlmann and Julier for roughly a dozen instances of this misconception in the literature.

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radiophysics.unn.ru

Stratonovich, R. L. (1959). "Оптимальные нелинейные системы, осуществляющие выделение сигнала с постоянными параметрами из шума" [Optimum nonlinear systems which bring about a separation of a signal with constant parameters from noise] (PDF). Radiofizika (in Russian). 2 (6): 892–901.

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Fletcher, Harvey; Munson, W. A. (October 1933). "Loudness, Its Definition, Measurement and Calculation" (PDF). The Bell System Technical Journal. 12 (4): 377–430. doi:10.1002/j.1538-7305.1933.tb00403.x.

web.archive.org (Global: 1^st place; English: 1^st place)

"Mohinder S. Grewal and Angus P. Andrews" (PDF). Archived from the original (PDF) on 2016-03-07. Retrieved 2015-04-23.
Kelly, Alonzo (1994). "A 3D state space formulation of a navigation Kalman filter for autonomous vehicles" (PDF). DTIC Document: 13. Archived (PDF) from the original on December 30, 2014. 2006 Corrected Version Archived 2017-01-10 at the Wayback Machine
Rajamani, Murali (October 2007). Data-based Techniques to Improve State Estimation in Model Predictive Control (PDF) (PhD Thesis). University of Wisconsin–Madison. Archived from the original (PDF) on 2016-03-04. Retrieved 2011-04-04.
Walrand, Jean; Dimakis, Antonis (August 2006). Random processes in Systems -- Lecture Notes (PDF). pp. 69–70. Archived from the original (PDF) on 2019-05-07. Retrieved 2019-05-07.
Jingyang Lu (2014). False information injection attack on dynamic state estimation in multi-sensor systems. Fusion.
Gabriel T. Terejanu (2012-08-04). "Discrete Kalman Filter Tutorial" (PDF). Archived from the original (PDF) on 2020-08-17. Retrieved 2016-04-13.
Julier, Simon J.; Uhlmann, Jeffrey K. (1997). "New extension of the Kalman filter to nonlinear systems" (PDF). In Kadar, Ivan (ed.). Signal Processing, Sensor Fusion, and Target Recognition VI. Proceedings of SPIE. Vol. 3. pp. 182–193. Bibcode:1997SPIE.3068..182J. CiteSeerX 10.1.1.5.2891. doi:10.1117/12.280797. S2CID 7937456. Archived from the original (PDF) on 2021-08-26. Retrieved 2008-05-03. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help)
Wan, E.A.; Van Der Merwe, R. (2000). "The unscented Kalman filter for nonlinear estimation" (PDF). Proceedings of the IEEE 2000 Adaptive Systems for Signal Processing, Communications, and Control Symposium (Cat. No.00EX373). p. 153. CiteSeerX 10.1.1.361.9373. doi:10.1109/ASSPCC.2000.882463. ISBN 978-0-7803-5800-3. S2CID 13992571. Archived from the original (PDF) on 2012-03-03. Retrieved 2010-01-31. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help)

wisc.edu (Global: 891^st place; English: 533^rd place)

jbrwww.che.wisc.edu

Rajamani, Murali (October 2007). Data-based Techniques to Improve State Estimation in Model Predictive Control (PDF) (PhD Thesis). University of Wisconsin–Madison. Archived from the original (PDF) on 2016-03-04. Retrieved 2011-04-04.

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Lora-Millan, Julio S.; Hidalgo, Andres F.; Rocon, Eduardo (2021). "An IMUs-Based Extended Kalman Filter to Estimate Gait Lower Limb Sagittal Kinematics for the Control of Wearable Robotic Devices". IEEE Access. 9: 144540–144554. Bibcode:2021IEEEA...9n4540L. doi:10.1109/ACCESS.2021.3122160. hdl:10261/254265. ISSN 2169-3536. S2CID 239938971.
Kalita, Diana; Lyakhov, Pavel (December 2022). "Moving Object Detection Based on a Combination of Kalman Filter and Median Filtering". Big Data and Cognitive Computing. 6 (4): 142. doi:10.3390/bdcc6040142. ISSN 2504-2289.
Ghysels, Eric; Marcellino, Massimiliano (2018). Applied Economic Forecasting using Time Series Methods. New York, NY: Oxford University Press. p. 419. ISBN 978-0-19-062201-5. OCLC 1010658777.
Li, Wangyan; Wang, Zidong; Wei, Guoliang; Ma, Lifeng; Hu, Jun; Ding, Derui (2015). "A Survey on Multisensor Fusion and Consensus Filtering for Sensor Networks". Discrete Dynamics in Nature and Society. 2015: 1–12. doi:10.1155/2015/683701. ISSN 1026-0226.
Li, Wangyan; Wang, Zidong; Ho, Daniel W. C.; Wei, Guoliang (2019). "On Boundedness of Error Covariances for Kalman Consensus Filtering Problems". IEEE Transactions on Automatic Control. 65 (6): 2654–2661. doi:10.1109/TAC.2019.2942826. ISSN 0018-9286. S2CID 204196474.
Herbst, Daniel C. (2024). "Exponential Convergence Rate and Oscillatory Modes of the Asymptotic Kalman Filter Covariance". IEEE Access. 12: 188137–188153. Bibcode:2024IEEEA..12r8137H. doi:10.1109/ACCESS.2024.3508578. ISSN 2169-3536.
Biswas, Sanat K.; Qiao, Li; Dempster, Andrew G. (2020-12-01). "A quantified approach of predicting suitability of using the Unscented Kalman Filter in a non-linear application". Automatica. 122 109241. doi:10.1016/j.automatica.2020.109241. ISSN 0005-1098. S2CID 225028760.
Menegaz, H. M. T.; Ishihara, J. Y.; Borges, G. A.; Vargas, A. N. (October 2015). "A Systematization of the Unscented Kalman Filter Theory". IEEE Transactions on Automatic Control. 60 (10): 2583–2598. Bibcode:2015ITAC...60.2583M. doi:10.1109/tac.2015.2404511. hdl:20.500.11824/251. ISSN 0018-9286. S2CID 12606055.

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