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- W4285589999 abstract "Free Access References Yuriy S. Shmaliy, Yuriy S. Shmaliy Universidad de Guanajuato, MexicoSearch for more papers by this authorShunyi Zhao, Shunyi Zhao Jiangnan University, ChinaSearch for more papers by this author Book Author(s):Yuriy S. Shmaliy, Yuriy S. Shmaliy Universidad de Guanajuato, MexicoSearch for more papers by this authorShunyi Zhao, Shunyi Zhao Jiangnan University, ChinaSearch for more papers by this author First published: 15 July 2022 https://doi.org/10.1002/9781119863106.ref AboutPDFPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShareShare a linkShare onFacebookTwitterLinked InRedditWechat References Abedor J , Nagpal K , Poola K ( 1996 ) A linea r matrix inequality approach to peak-to-peak gain minimization . Int J Robust Nonl Contr 6 : 899 – 927 Ahmed NA , Gokhale DV ( 1989 ) Entropy expressions and their estimators for multivariate distributions . IEEE Trans Inf Theory 35 ( 3 ): 688 – 692 Ahn CK , Han SH ( 2008 ) New H ∞ FIR smoother for linear discrete-time state-space models . IEICE Trans Commun E91 .B( 3 ): 896 – 899 Ahn CK , Kim PS ( 2008 ) Fixed-lag maximum likelihood FIR smoother for state-space models . IEICE Electron Express 5 ( 1 ): 11 – 16 Ahn CK , Kim PS ( 2013 ) New energy-to-peak FIR filter design for systems with disturbances: a convex optimization approach . Int J Inn Comp Inform Contr 9 ( 5 ): 1988 – 1993 Ahn CK ( 2014 ) A new solution to induced l ∞ FIR filtering problem based on two matrix inequalities . Int J Contr 87 ( 2 ): 404 – 409 Ahn CK , Shmaliy YS , Shi P , Zhao S ( 2017 ) Receding-horizon ℓ 2 − ℓ ∞ FIR filter with embedded deadbeat property . IEEE Trans Circ Syst–II Express Briefs 64 ( 2 ): 211 – 215 Alspach D , Sorenson H ( 1972 ) Nonlinear Bayesian estimation using Gaussian sum approximation . IEEE Trans Autom Contr 17 ( 4 ): 439 – 448 Anderson BDO , Moore JB ( 1979 ) Optimal Filtering . Prentice-Hall , Englewood Cliffs, NJ Arasaratnam I , Haykin S , Elliott RJ ( 2007 ) Discrete-time nonlinear filtering algorithms using Gauss-Hermite quadrature . Proc IEEE 95 ( 5 ): 953 – 977 Arceo-Miquel L , Shmaliy YS , Ibarra-Manzano O ( 2009 ) Optimal synchronization of local clocks by GPS 1PPS signals using predictive FIR filters . IEEE Trans Inst Meas 58 ( 6 ): 1833 – 1840 Athans M , Wishner RP , Bertolini A ( 1968 ) Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements . IEEE Trans Autom Contr AC-13 : 504 – 514 Aysal TC , Barner KE ( 2007 ) Meridian filtering for robust signal processing . IEEE Trans Signal Process 55 ( 8 ): 3949 – 3962 Banavar RN , Speyer JL ( 1991 ) A linear-quadratic game approach to estimation and smoothing . IEEE Am Contr Conf , Boston, MA, USA , 26 – 28 June 1991 Bar-Shalom Y , Li XR , Kirubarajan T ( 2001 ) Estimation with applications to tracking and navigation: theory algorithms and software , Wiley-Interscience , New York Basu AK ( 2005 ) Introduction to Stochastic Process . Alpha Science , Harrow, UK Battistelli G , Chisci L ( 2014 ) Kullback–Leibler average, consensus on probability densities, and distributed state estimation with guaranteed stability . Automatica 50 ( 3 ): 707 – 718 Bellman R ( 1960 ) Introduction to Matrix Analysis . McGraw-Hill , New York Bello P ( 1964 ) Time-frequency d uality . IEEE Trans Inform Theory IT-10 : 18 – 33 Bierman GJ ( 1977 ) Factorization Methods for Discrete Sequential Estimation . Academic , New York Box GEP ( 1953 ) Non-normality and tests on variances . Biometrika 40 ( 3-4 ): 318 – 335 Boyd S , Ghaoui LE , Feron E ( 1994 ) Linear Matrix Inequalities in System and Control Theory . SIAM , Philadelphia Bruckstein A. , Kailath T ( 1985 ) Recursive limited memory filtering and scattering theory . IEEE Trans Inform Theory 31 ( 3 ): 440 – 443 Bryson AE , Johansen D ( 1965 ) Linear filtering for time-varying systems using measurements containing colored noise . IEEE Trans Autom Contr 10 ( 1 ): 4 – 10 Bryson AE , Henrikson LJ ( 1968 ) Estimation using sampled data containing sequentially correlated noise . J. Spacecraft Rockets 5 ( 6 ): 662 – 665 Butcher JC ( 2003 ) Numerical Methods for Ordinary Differential Equations . John Wiley & Sons , New York Campbell TG , Neuvo Y ( 1991 ) Predictive FIR filters with low computational complexity . IEEE Trans Circ Syst 38 ( 9 ): 1067 – 1071 Carmen C ( 1999 ) Ordinary Differential Equations with Applications . Springer-Verlag , New York Castro-Tinttori P , Ibarra-Manzano O , Shmaliy YS ( 2012 ) Implementation of digital FIR filters with polynomial impulse responses . Circ Syst Signal Process 31 ( 2 ): 611 – 626 Castro-Tinttori P , Ibarra-Manzano O , Shmaliy YS ( 2012 ) Computationally efficient FIR filtering of polynomial signals in DFT domain . Circ Syst Signal Process 31 ( 6 ): 2153 – 2166 Caverly RJ , Forbes JR , ( 2019 ) LMI properties and applications in systems, stability, and control theory . arXiv:1903.08599x2, 12 Jun 2019 Chaffee JW ( 1987 ) Relating the Allan variance to the diffusion coefficients of a linear stochastic differential equation model for precision oscillators . IEEE Trans Ultrason Ferroel Freq Contr 34 ( 6 ): 655 – 658 Chang G ( 2014 ) On Kalman filter for linear system with colored measurement noise . J Geodesy 88 ( 12 ): 1163 – 1170 Chang XH ( 2014 ) Robust Output Feedback H-infinity Control and Filtering for Uncertain Linear Systems . Springer-Verlag , Berlin Chen YL , Chen BS ( 1994 ) Minimax robust deconvolution filters under stochastic parametric and noise uncertainties . IEEE Trans Signal Process 42 ( 1 ): 32 – 45 Chui CK , Chen G ( 1987 ) Kalman Filtering with Real-Time Applications . Springer-Verlag , Berlin Costa OLV , Fragoso MD , Marques RP ( 2005 ) Discrete-Time Markov Jump Linear Systems . Springer , London Cox H ( 1964 ) On the estimation of state variables and parameters for noisy dynamic systems . IEEE Trans Autom Contr AC-9 : 5 – 12 Darouach M ( 2009 ) H ∞ unbiased filtering for linear descriptor systems via LMI . IEEE Trans Autom Contr 54 ( 8 ): 1966 – 1972 Daum F ( 2005 ) Nonlinear filters: Beyond the Kalman filter . IEEE A&E Syst Mag 20 ( 8 ): 57 – 69 Ding SX ( 2013 ) Model-Based Fault Diagnosis Techniques: Design Schemes, Algorithms and Tools . Springer , Berlin Dong Z , You Z ( 2006 ) Finite-horizon robust Kalman filtering for uncertain discrete time-varying systems with uncertain-covariance white noises . IEEE Signal Process Lett 13 ( 8 ): 493 – 496 Doucet A , Godsill S , Andrieu C ( 2000 ) On sequential Monte Carlo sampling methods for Bayesian filtering . Statist Comput 10 ( 3 ): 197 – 208 Del Moral P 1996 () Non linear filtering: interacting particle solution . Markov Processes Related Fields 2 ( 4 ): 555 – 580 Doob JL ( 1953 ) Stochastic Processes , Wiley , New York Du C , Xie L ( 2002 ) H ∞ Control and Filtering of Two-Dimensional Systems . Springer , Berlin Feller W ( 1968 ) An Introduction to Probability Theory and its Applications . Vol 1, 3rd Ed , Wiley , New York Feller W ( 1970 ) An Introduction to Probability Theory and its Applications . Vol 2, Wiley , New York Fitzgerald R ( 1971 ) Divergence of the Kalman filter . IEEE Trans Autom. Cont. 16 ( 6 ): 736 – 747 Fu JB , Sun J , Gao F , Lu S ( 2014 ) Maneuvering target tracking with improved unbiased FIR filter . Int Radar Conf (Radar), Lille , 13 – 17 October 2014 Fu M , de Souza CE , Xie L ( 1992 ) H ∞ estimation for uncertain systems . Int J Robust Nonl Contr 2 : 87 – 105 Gantmacher FR ( 1959 ) Applications of the Theory of Matrices . Tr. by JI Brenner , Wiley-Interscience , New York Gauss CF ( 1809 ) Theory of Motion of the Heavenly Bodies Moving About the Sun in Conic Sections: A Translation (2004) of Theoria Motus. Mineola , Dover , New York A Gelb (ed) ( 1974 ) Applied Optimal Estimation . MIT Press , Cambridge, USA Geromel JC ( 1999 ) Optimal linear filtering under Parameter uncertainty . IEEE Trans Signal Process 47 ( 1 ): 168 – 175 Gershon E , Shaked U , Yaesh I ( 2005 ) H ∞ Control and Estimaiton of State-multiplicative Linear Systems . Springer-Verlag , London Ghaoui LE , Calafiore G ( 2001 ) Robust filtering for discrete-time systems with bounded noise and parametric uncertainty . IEEE Trans Autom Contr 46 ( 7 ): 1084 – 1089 Gibbs BP ( 2011 ) Advanced Kalman Filtering, Least'Squares and Modeling: A Practical Handbook . John Wiley & Sons , Hoboken Golub GH , van Loan CF ( 1996 ) Matrix Computations . 3rd Ed , John Hopkins Univ Press Gonzalez JG , Arce GR ( 2001 ) Optimality of the myriad filter in practical impulsive-noise environments . IEEE Trans Signal Process 49 ( 2 ): 438 – 441 Gonzalez G , Nava R , Escalante-Ramirez B ( 2018 ) A comparative study on discrete Shmaliy moments and their texture-based applications . Math. Probl Eng Vol 2018, art. 1673283: 1 – 17 Gordon NJ , Salmond DJ , Smith AFM ( 1993 ) Novel approach to nonlinear/non-Gaussian Bayessian state estimation . IEE Proc 140 ( 2 ): 107 – 113 Grewal MS , Andrews AP ( 2008 ) Kalman Filtering: Theory and Practice using MATLAB . 3rd Ed , John Wiley & Sons , Hoboken Gubner JA ( 2002 ) Probability and Random Processes for Electrical and Computer Engineering . Cambridge Univ. Press , Cambridge Haddad WM , Bernstein DS ( 1988 ) Robust, reduced-order, nonstrictly proper state estimation via the optimal projection equations with guaranteed cost bounds . IEEE Trans Autom Contr 33 ( 6 ): 591 – 595 Han SH , Kwon WH , Kim PS ( 2001 ) Receding-horizon FIR filters for continuous-time state-space models without a priori initial state information . IEEE Trans Autom Contr 46 ( 5 ): 766 – 770 Han S , Kwon WH ( 2007 ) L 2 - E FIR smoothers for deterministic discrete-time state-space signal models . IEEE Trans Autom Contr 52 ( 5 ): 927 – 931 Han S , Kwon BK , Kwon W H ( 2009 ) Minimax FIR smoothers for deterministic continuous-time state space models . Automatica 45 ( 6 ): 1561 – 1566 Hanlon P , Maybeck PS ( 2000 ) Characterization of Kalman filter residuals in the presence of mismodeling . IEEE Trans Aero Elect Syst 36 ( 1 ): 114 – 131 Hassibi B , Sayed AH , Kailath T ( 1999 ) Indefinite-Quadratic Estimation and Control: A Unified Approcah to H 2 and H ∞ Theories . SIAM , Philadelphia Heinonen P , Neuvo Y ( 1988 ) FIR-median hybrid filters with predictive FIR substructures . IEEE Trans Acoust Speech Signal Process 36 ( 6 ): 892 – 899 Hu JS , Yang CH ( 2011 ) Second-order extended H ∞ filter for nonlinear discrete-time systems using quadratic error matrix approximation . IEEE Trans Signal Process 59 : 3110 – 3119 Huber PJ ( 1964 ) Robust estimation of a local parameter . Ann Math Statist 35 ( 1 ): 73 – 101 Huber PJ ( 1981 ) Robust Statistics . Jonh Wiley & Sons , New York IEEE Standard 1139-2008 (2009) Definitions of Physical Quantities for Fundamental Frequency and Time Metrology – Random Instabilities, IEEE , Piscataway, NJ IEEE Standard 1588 T M -2002 for a precision clock synchronization protocol for networked measurement and control systems , IEEE, Piscataway, NJ ITU-T Recommendation G.810 (1996) Definitions and terminology for synchronization networks , Geneva, Switzerland ITU-T Recommendation G.811 (1997) Timing characteristics of primary reference clocks , Geneva, Switzerland Jazwinski AH ( 1970 ) Stochastic Processes and Filtering Theory . Academic Press , Cambridge Jordan DW , Smith P ( 1999 ) Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems . 3 rd ed . Oxford Univ. Press , New York Julier S , Uhlmann J , Durrant-Whyte HF ( 1995 ) A new approach for filtering nonlinear systems, Amer Contr Conf, Seattle , Washington , 21–23 June 1995 Julier S , Uhlmann J , Durrant-Whyte , HF ( 2000 ) A new method for the nonlinear transformation of means and covariances in nonlinear filters . IEEE Trans Autom Contr 45 ( 3 ): 477 – 482 Kailath T , Sayed AH , Hassibi B ( 2000 ) Linear Estimation . Prentice Hall , Upper Saddle River Kalman RE ( 1960 ) A new approach to linear filtering and prediction problems . Trans ASME–J Basic Eng 82 ( D ): 35 – 45 Kalman RE , Bucy RS ( 1961 ) New results in linear filtering and prediction theory . Trans ASME–J Basic Eng 83 ( 1 ): 95 – 108 Kassam SA ( 1985 ) Signal Detection in Non-Gaussian Noise . Springer-Verlag , New York Kassam SA , Poor HV ( 1985 ) Robust techniques for signal processing: a survey, Proc . IEEE 73 ( 3 ): 433 – 481 Kay SM ( 1993 ) Fundamentals of Statistical Signal Processing: Estimation Theory . Prentice-Hall , Upper Saddle River Khargonekar PP , Petersen IR , Zhou K ( 1990 ) Robust stabilization of uncertain linear systems: quadratic stabilizability and H ∞ control theory . IEEE Trans Autom Contr 35 ( 3 ): 356 – 361 Kitagawa G ( 1987 ) Non-Gaussian state-space modeling of nonstationary time series . J Amer Statist Ass 82 ( 400 ): 1032 – 1041 Knill O ( 2009 ) Probability and Stochastic Processes with Applications . Overseas Press India , New Delhi Kushner H ( 1967 ) Nonlinear filtering: The exact dynamical equations satisfied by the conditional mode . IEEE Trans Autom Contr 12 ( 3 ): 262 – 267 Kwon BK , Han S , Kwon WH ( 2007 ) Minimum variance FIR smoothers for continuous-time state space signal models . IEEE Signal Process Lett 14 ( 12 ): 1024 – 1027 Kwon BK , Han S , K won OK , Kwon WH ( 2007 ) Minimum variance FIR smoothers for discrete-time state space models . IEEE Signal Process Lett 14 ( 8 ): 557 – 560 Kwon BK , Choi JW , Park JH , Han S , Kwon WH ( 2009 ) A Best lag size of minimum variance FIR smoothers . IEEE Signal Process Lett 16 ( 4 ): 307 – 310 Kwon BK , Han S ( 2014 ) An optimal fixed-lag FIR smoother for discrete time-varying state space models . J Inst Contr Robot Syst 20 ( 1 ): 1 – 5 Kwon OK , Kwon WH , Lee KS ( 1989 ) FIR filters and recursive forms for discrete-time state-space models . Automatica 25 ( 5 ): 715 – 728 Kwon OK , Ryu HS , Yoo KS ( 1996 ) Robust H ∞ FIR filter for uncertain systems . 13th Trienial World Congress, San Francisco, USA , 30 June–5 July 1996 Kwon OK , de Souza CE , Ryu HS ( 1996 ) Robust H ∞ FIR filter for discrete-time uncertain systems . 35th Conf Dec Contr, Kobe, Japan , 11-13 Dec 1996 Kwon WH , Lee KS , Kwon OK ( 1990 ) Optimal FIR filters for time-varying state-space models . IEEE Trans Aero Elect Syst 26 ( 6 ): 1011 – 1021 Kwon WH , Suh YS , Lee YI , Kwon OK ( 1994 ) Equivalence of finite memory filters , IEEE Trans Aero Elect Syst 30 ( 3 ): 968 – 972 Kwon WH , Lee KS , Lee JH ( 1994 ) Fast algorithms for optimal FIR filter and smoother of discrete-time state-space models . Automatica 30 ( 3 ): 489 – 492 Kwon WH , Kim PS , Park P ( 1999 ) A receding horizon Kalman FIR filter for discrete time-invariant systems . IEEE Trans Autom Contr 44 ( 9 ): 1787 – 1791 Kwon WH , Kim PS , Han SH ( 2001 ) Best linear unbiased FIR filters for continuous-time state-space models , Asian J Control 3 ( 1 ): 1 – 9 Kwon WH , Kim PS , Han S ( 2002 ) A receding horizon unbiased FIR filter for discrete-time state space models . Automatica 38 ( 3 ): 545 – 551 Kwon WH , Han S ( 2005 ) Receding Horizon Control: Model Predictive Control for State Models . Springer , London Lancaster P , Rodman L ( 1995 ) Algebraic Riccati Equations , Clarendon Press , Oxford Lastre-Dominguez CM , Shmaliy YS , Ibarra-Manzano O , Vazquez-Olguin MA ( 2019 ) Denoising and features extraction of ECG signals in state space using unbiased FIR smoothing . IEEE Access 7 : 152166 – 152178 Lee YS , Han SH , Kwon WH ( 2006 ) H 2 / H ∞ FIR filters for discrete-time state space models . Int J Contr Autom Syst 4 ( 5 ): 645 – 652 Lei B , Xu G , Feng M , Zou Y et al ( 2017 ) Classification, Parameter Estimation and State Estimation . John Wiley & Sons , Hoboken Lewis FL , Xie L , Popa D ( 2008 ) Optimal and Robust Estimation with an Introduction to Stochastic Control Theory . CRC Press , Boca Raton Li F , Shi P , Wu L ( 2017 ) Control and Filtering for Semi-Markovian Jump Systems , Springer Int Publ , Cham, Switzerland Li H , Fu M ( 1997 ) A linear matrix inequality approach to robust H ∞ filtering . IEEE Trans Signal Process 45 ( 9 ): 2338 – 2350 Li T , Sun S , Sattar TP , Corchado JM ( 2000 ) Fight sample degeneracy and impovereshment in particle filters: A review of inteligent approaches Art Intell 128 ( 1–2 ): 99 – 141 Lim J ( 2014 ) Tutorial–game theory-based extended H ∞ filtering approach to nonlinear problems in signal processing . Dig Sign Process 34 : 1 – 15 Liu JS , Che , R ( 1998 ) Sequential Monte Carlo methods for dynamic systems . J Amer Stat Ass 93 ( 443 ): 1032 – 1044 Liu Q , Wang Z , He X ( 2019 ) Stoch astic Control and Filtering over Constrained Communication Networks . Springer Nature , Switzerland Ma L , Wang Z , Bo Y ( 2019 ) Nonlinear Control and Filtering for Stochastic Networked Systems . CRC Press , Boca Raton Makhoul J ( 1975 ) Linear prediction: A tutorial review . Proc IEEE 63 ( 4 ): 561 – 580 Marquez-Figueroa S , Shmaliy YS , Ibarra-Manzano O ( 2020 ) Optimal extraction of EMG signal envelope and artifacts removal assuming colored measurement noise Biomed Sign Process Contr 57 ( 101679 : 1 – 8 Martin RD , Masreliez CJ ( 1975 ) Robust estimation via stochastic approximation . IEEE Trans Inf Theory 21 ( 3 ): 263 – 271 Martin RD , Mintz M ( 1983 ) Robust filtering and prediction for linear systems with uncertain dynamics: a game-theoretic approach . IEEE Trans Autom Contr AC-28 ( 9 ): 888 – 896 Martin RD , Raftery AE ( 1987 ) Robustness, computation and non Euclidean models , J Am Stat Assoc 82 ( 400 ): 1044 – 1050 Masreliez CJ , Martin RD ( 1975 ) Robust Bayesian estimation for the linear model and robustifying the Kalman filter . IEEE Trans Autom Contr AC-22 ( 3 ): 361 – 371 Maybeck PS ( 1979 ) Stochastic Models, Estimation, and Control . Academic Press , New York Maybeck P ( 1982 ) Stochastic Models, Estimation and Control . Vol. 2, Academic Press , New York Meditch JS ( 1973 ) A survey of data smoothing for linear and nonlinear dynamic systems . Automatica 9 ( 2 ): 151 – 162 Miller JH , Thomas JB ( 1972 ) Detectors for discrete-time signals in non-Gaussian noise . IEEE Trans Inf Theory 18 ( 2 ): 241 – 250 Mohamed SMK , Nahavandi S ( 2012 ) Robust finite-horizon Kalman filtering for uncertain discrete-time systems . IEEE Trans Autom Contr 57 ( 6 ): 1548 – 1552 Moore JB ( 1973 ) Discrete-time fixed-lag smoothing algorithms . Automatica 9 ( 2 ): 163 – 173 Morales-Mendoza LJ , Gamboa-Rosales H , Shmaliy YS ( 2013 ) A new class of discrete orthogonal polynomials for blind fitting of finite data , Signal Processing. 93 ( 7 ): 1785 – 1793 Moroney MJ ( 1951 ) Facts from Figures . Penguin , London Nagpal K , Abedor J , Poola K ( 1994 ) An LMI approach to peak-to-peak gain minimization: filtering and control . Am Contr Conf , Baltimore , Maryland , 29 June–1 July 1994 Nikias CL , Shao M ( 1995 ) Signal Processing With Alpha-Stable Distributions and Applications . Wiley , New York Nisar MD ( 2011 ) Minimax Robustness in Signal Processing for Communications , Shaker Verlag , Aachen Norgaard M , Poulsen NK , Ravn O ( 2000 ) New developments in state estimation for nonlinear systems . Automatica 36 ( 11 ): 1627 – 1638 Olfati-Saber R ( 2005 ) Distributed Kalman filter using embedded consensus filters . 44th IEEE Conf Dec Contr 2005, Seville, Spain , 12-15 Dec 2005 Olfati-Saber R , Shamma JS ( 2005 ) Consensus filters for sensor networks and distributed sensor fusion . 44th Conf Dec Contr, Seville, Spain , 12-15 Dec 2005 Olfati-Saber R ( 2007 ) Distributed Kalman filtering for sensor networks . 46th IEEE Conf Dec Contr, New Orleans, LA , 12-14 Dec 2007 Øksendal B ( 2014 ) Stochastic Differential Equations: An Introduction with Applications . 6th Ed , Springer , New York Ortega-Contreras J , Pale-Ramon E , Shmaliy YS , Xu Y ( 2021 ) A novel approach to H2 FIR prediction under disturbances and measurement errors . IEEE Sign Process Lett 28 : 150 – 154 Packard A , Doyle J ( 1990 ) Quadr atic stability with real and complex perturbations . IEEE Trans Autom Contr 35 ( 2 ): 198 – 201 Pak JM , Ahn CK , Shmaliy YS , Lim MT ( 2015 ) Improving reliability of particle filter-based localization in wireless sensor networks via hybrid particle/FIR filtering . IEEE Trans Ind Inf 11 ( 5 ): 1089 – 1098 Palhares RM , Peres PLD ( 2000 ) Robust filtering with guaranteed energy-to-peak performance–an LMI approach . Automatica 36 : 851 – 858 Papoulis A ( 2002 ) Probability, Random Variables, and Stochastic Processes 5th Ed , McGraw-Hill , New York Pearson K ( 1902 ) On the systematic fitting of curves to observations and measurements . Biometrika 1 ( 3 ): 265 – 303 Petovello MG , O'Keefe K , Lachapelle G , Cannon ME ( 2009 ) Consideration of time-correlated errors in a Kalman filter applicable to GNSS . J. of Geodesy 83 ( 1 ): 51 – 53 Pieczynski W ( 2003 ) Pairwise Markov chains . IEEE Trans Pattern Anal Machine Intel 25 ( 5 ): 634 – 639 Pomarico-Franquiz J , Shmaliy YS ( 2014 ) Accurate self-localization in RFID tag information grids using FIR filtering . IEEE Trans Ind Inf 10 ( 2 ): 1317 – 1326 Pomarico-Franquiz J , Granados-Cruz M , Shmaliy YS ( 2015 ) Self-localization over RFID tag grids excess channels using extended filtering techniques . IEEE J Sel Topics Sign Process 9 ( 2 ): 229 – 238 Quab Z , Han S , Kwon WH ( 2007 ) Robust FIR filters for linear continuous-time state-space models with uncertainies . 26th Chinese Contr Conf, Zhangjiajie, Hunan , 26-31 July 2007 Quab Z , Han S , Kwon WH ( 2007 ) A robust FIR filter for linear discrete-time state-space signal models with uncertainies IEEE Sign Process Lett 14 ( 8 ): 553 – 556 Ramirez-Echeverria F , Sarr A , Shmaliy YS ( 2014 ) Optimal memory for discrete-time FIR filters in state-space . IEEE Trans Sign Process 62 ( 3 ): 557 – 561 Rauch HE , Tung F , Striebel CT ( 1965 ) Maximum likelihood estimates of linear dynamic systems . AIAA J 3 ( 8 ): 1445 – 1450 Ristic B , Arulampalam S , Gordon N ( 2004 ) Beyond the Kalman Filter: Particle Filters for Tracking Applications . Arctech House , Norwood Ross SM ( 1996 ) Stochastic Processes John Wiley & Sons , New York Sage AP , Melsa JL ( 1971 ) Estimation Theory with Applications to Communications and Control . McGraw-Hill , New York Savitzky A , Golay MJE ( 1964 ) Smoothing and differentiation of data by simplified least squares procedures . Analyt Chem 36 ( 8 ): 1627 – 1639 Scherer C , Weiland S ( 2015 ) Linear Matrix Inequalities in Control . University of Stuttgart, Stuttgart Schick IC , Mitter SK ( 1994 ) Robust recursive estimation in the presence of heavy-tailed observation noise . Ann. Stat 22 ( 2 ): 1045 – 1080 Schweppe FC ( 1973 ) Uncertain Dynamic Systems . Prentice-Hall , Englewood Cliffs Shakibaei Asli BH , Flusser J ( 2017 ) New discrete orthogonal moments for signal analysis . Sign Process 141 : 57 – 73 Shen X , Deng L ( 1997 ) Game theory approach to discrete H ∞ filter design . IEEE Trans Sign Process 45 ( 4 ): 1092 – 1095 Shen X , Deng L ( 2014 ) A new solution to induced l ∞ FIR filtering problem based on two matrix inequalities . Int J Contr 87 ( 2 ): 404 – 409 Shmaliy YS ( 2006 ) Continuous-Time Signals . Springer , Dordrecht Shmaliy YS ( 2006 ) An unbia sed FIR filter for TIE model of a local clock in applications to GPS-based timekeeping . IEEE Trans Ultrason Ferroel Freq Contr 53 ( 5 ): 862 – 870 Shmaliy YS ( 2007 ) Continuous-Time Systems . Springer , Dordrecht Shmaliy YS , Muñoz-Diaz J , Arceo-Miquel L ( 2008 ) Optimal horizons for a one-parameter family of unbiased FIR filters . Dig Sign Process 18 ( 5 ): 739 – 750 Shmaliy YS , Muñoz-Diaz J , Arceo-Miquel L ( 2008 ) Optimal horizons for a one-parameter family of unbiased FIR filters/ Dig Sign Process 18 ( 5 ): 739 – 750 Shmaliy YS ( 2009 ) GPS-based Optimal FIR Filtering of Clock Models . Nova Science Publ , New York Shmaliy YS ( 2009 ) An unbiased p -step predictive FIR filter for a class of noise-free discrete-time models with independently observed states . Sign Image Video Process 3 ( 2 ): 127 – 135 Shmaliy YS ( 2009 ) Unbiased FIR filtering of discrete time polynomial state space models . IEEE Trans Sign Process 57 ( 4 ): 1241 – 1249 Shmaliy YS ( 2010 ) Linear optimal FIR estimation of discrete time-invariant state-space models . IEEE Trans Sign Process 58 ( 6 ): 3086 – 3096 Shmaliy YS , Morales-Mendoz , L ( 2010 ) FIR smoothing of discrete-time polynomial models in state space . IEEE Trans Sign Process 58 ( 5 ): 2544 – 2555 Shmaliy YS ( 2011 ) An iterative Kalman-like algorithm ignoring noise and initial conditions IEEE Trans Sign Process 59 ( 6 ): 2465 – 2473 Shmaliy YS , Ibarra-Manzano O ( 2012 ) Time-variant linear optimal finite impulse response estimator for discrete state-space models . Int J Adapt Contr Sign Process 26 ( 2 ): 95 – 104 Shmaliy YS , Ibarra-Manzano O ( 2012 ) Optimal finite impulse response estimation of linear models in receiver channels with imbedded digital signal processing units . IET Sign Process 6 ( 4 ): 281 – 287 Shmaliy YS ( 2012 ) Suboptimal FIR filtering of nonlinear models in additive white Gaussian noise . IEEE Trans Sign Process 60 ( 10 ): 5519 – 5527 Shmaliy YS , Zhao S , Ahn CK ( 2017 ) Unbiased FIR filtering: an iterative alternative to Kalman filtering ignoring noise and initial conditions . IEEE Contr Syst Mag 37 ( 5 ): 70 – 89 Shmaliy YS , Lehmann F , Zhao S , Ahn CK ( 2018 ) Comparing robustness of the Kalman, H ∞ , and UFIR filters . IEEE Trans Sign Process 66 ( 13 ): 3447 – 3458 Shmaliy YS , Neuvo Y , Khan S ( 2018 ) Review of unbiased FIR filters, smoothers, and predictors for polynomial signals . Front Sign Process 2 ( 1 ): 1 – 29 Shmaliy YS , Zhao S , Ahn CK ( 2019 ) Optimal and unbiased filtering with colored process noise using state differencing . IEEE Sign Process Lett 26 ( 4 ): 548 – 551 Shmaliy YS , Zhao S , Ahn CK ( 2020 ) Kalman and UFIR state estimation with coloured measurement noise using backward Euler method . IET Sign Process 14 ( 2 ): 64 – 71 Sima V ( 1996 ) Algorithms for Linear Quadratic Optimization . Marcel Dekker , New York Simon D ( 2006 ) Optimal State Estimaiton: Kalman, H ∞ , and Nonlinear Approaches . John Wiley & Sons , Hoboken Simon D , Shmaliy YS ( 2013 ) Unified forms for Kalman and finite impulse response filtering and smoothing . Automatica 49 ( 6 ): 1892 – 1899 Simon MK ( 2006 ) Probability Distributions Involving Gaussian Random Variables . Springer , New York Skelton RE , Iwasaki T , Grigoriadis KM ( 1998 ) A Unified Algebraic Approach to Linear Control Design . Taylor & Francis , London Smith SW ( 1999 ) The Scie ntist and Engineer's Guide to Digital Signal Processing . 2nd Ed , California Tech Publ, CA de Souza CE , Shaked U , Fu M ( 1995 ) Robust H ∞ filtering for continuous time varying uncertain systems with deterministic input signals . IEEE Trans Sign Process 43 ( 3 ): 709 – 719 Stark H , Woods JW ( 1994 ) Probability, Random Processes, and Estimation Theory for Engineers . Prentice Hall , Upper Saddle River Stein SR , Filler RL ( 1988 ) Kalman filter analysis for real time applications of clocks and oscillators . 42th Ann Freq Contr Symp, Baltimore, Maryland , 1-3 June 1988 Stratonovich RL ( 1963 ) Topics in the Theory of Random Noise . Vol. 1, Gordon & Breach , New York Sun S , Deng Z ( 2004 ) Multi-sensor optimal information fusion Kalman filter . Automatica 40 ( 6 ): 1017 – 1017 Sun J , Fu JB , Wang J ( 2014 ) Improved maneuvering target tracking method based on unbiased finite impulse response (UFIR) filter . US Patent 103 500 455 A, Jan. 8 2014 Tan Z , Soh YC , Xie L ( 1999 ) Envelope-constrained H 2 FIR filter design . Circ Syst Sign Process 18 ( 6 ): 539 – 551 Toda M , Patel RV ( 1980 ) Bounds on estimation errors of discrete-time filters under modeling uncertainty . IEEE Trans Autom Contr AC-25 ( 6 ): 1115 – 1121 Trench WF ( 1961 ) A general class of discrete time-invariant filters . J Soc Ind Appl Math 9 ( 3 ): 405 – 421 Uhlmann JK ( 1994 ) Simultaneous map building and localization for real time applications II . Eng Sc Report, Oxford University, UK Van Antwerp JG , Braatz RD ( 2000 ) A tutorial on linear and bilinear matrix inequalities . J Process Contr 10 : 363 – 385 Van der Merwe R , Doucet A , de Freitas N , Wan E ( 2000 ) The unscented particle filter , Tech Rep CUED/F-INFENG/TR 380, Cambridge University Eng Dept Uribe-Murcia K , Shmaliy YS , Ahn CK , Zhao S ( 2020 ) Unbiased FIR filtering for time-stamped discretely delayed and missing data . IEEE Trans Autom Contr 65 ( 5 ): 2155 – 2162 Uribe-Murcia K , Shmaliy YS , Andrade-Lucio JA ( 2021 ) Unbiased FIR, Kalman, and game theory H + ∞ filtering under Bernoulli distributed random delays and packet dropouts Neurocomputing 442 : 89 – 97 Vazquez-Olguin M , Shmaliy YS , Ahn CK , Ibarra-Manzano O ( 2017 ) Blind robust estimation with missing data for smart sensors using UFIR filtering . IEEE Sensors J 17 ( 6 ): 1819 – 1819 Vazquez-Olguin M , Shmaliy YS , Ibarra-Manzano O ( 2017 ) Distributed unbiased FIR filtering with average consensus on measurements for WSNs . IEEE Trans Ind Inf 13 ( 3 ): 1440 – 1447 Vazquez-Olguin M , Shmaliy YS , Ibarra-Manzano O ( 2020 ) Distributed UFIR filtering over WSNs with consensus on estimates . IEEE Trans Ind Inf 16 ( 3 ): 1645 – 1654 Verdú S , Poor HV ( 1984 ) On minimax robustness: a general approach and applications . IEEE Trans Inf Theory 30 ( 2 ): 328 – 340 Vidyasagar M ( 1986 ) Optimal rejection of persistent bounded disturbances . IEEE Trans Autom Contr AC-31 ( 6 ): 527 – 534 Vincent T , Abedor J , Nagpal K , Khardonekar PP ( 1996 ) Discrete-time estimators with guaranteed peak-to-peak performance . 13th Triennial World Congress, San Franciaco , 30 June–5 July 1996 Wang C , Walker RA , Moody MP ( 2007 ) Single antenna attitude algorithm for nonuniform antenna gain patterns . J Spacecraft Rockets 44 ( 1 ): 221 – 229 Wang D , Shi P , Wang W ( 2013 ) Rob ust Filtering and Fault Detection of Switched Delay Systems , Springer , London Watson JT , Grigoriadis KM ( 1997 ) Optimal unbiased filtering via linear matrix inequalities . Am Contr Conf, Albuquerque, New Mexico , 4 – 6 June 1997 Wilson D ( 1989 ) Convolution and Hankel operator norms for linear systems . IEEE Trans Autom Contr 34 ( 1 ): 94 – 97 Xie L , de Souza CE , Fu M ( 1991 ) H ∞ estimation for discrete-time linear uncertain systems . Int J Robust Nonlinear Contr 1 ( 2 ): 111 – 123 Xie L , Soh YC , de Souza CE ( 1994 ) Robust Kalman filtering for uncertain discrete-time systems . IEEE Trans Autom Contr 39 ( 6 ): 1310 – 1314 Xu J , Xie L ( 2014 ) Control and estimation of piecewise affine systems . Elsevier , Cambridge Xu Y , Shmaliy YS , Zhang YD , Shen T , Sun M ( 2021 ) INS/UWB-based quadrotor localization under colored measurement noise . IEEE Sensors J (to be published) You SH , Ahn CK , Shmaliy YS , Zhao S ( 2020 ) Fusion Kalman and weighted UFIR state estimator with improved accuracy . IEEE Trans Ind Electron 67 ( 12 ): 10713 – 10722 Yuan JT , Stuller JA ( 1994 ) Order-recursive FIR smoothers . IEEE Trans Sign Process 42 ( 5 ): 1242 – 1246 Zaknich A ( 2005 ) Pronciples of Adaptive Filters and Self-learning Systems . Springer-Verlag , London Zhao S , Shmaliy YS , Huang B , Liu F ( 2015 ) Minimum variance unbiased FIR filter for discrete time-variant systems . Automatica 53 ( 3 ): 355 – 361 Zhao S , Shmaliy YS , Liu F ( 2016 ) Fast Kalman-like optimal unbiased FIR filtering with applications . IEEE Trans Sign Process 64 ( 9 ): 2284 – 2297 Zhao S , Shmaliy YS ( 2016 ) Unified maximum likelihood form for bias constrained FIR filters . IEEE Sign Process Lett 23 ( 12 ): 1848 – 1852 Zhao S , Shmaliy YS ( 2016 ) Unified maximum likelihood form for bias constrained FIR filters . IEEE Sign Process Lett 23 ( 12 ): 1848 – 1852 Zhao S , Shmaliy YS , Shi P , Ahn CK ( 2017 ) Fusion Kalman/UFIR filter for state estimation with uncertain parameters and noise statistics . IEEE Trans Ind Electron 64 ( 4 ): 3075 – 3083 Zhao S , Shmaliy YS , Liu F ( 2017 ) On the iterative computation of error matrix in unbiased FIR filtering . IEEE Sign Process Lett 24 ( 5 ): 555 – 558 Zhao S , Shmaliy YS , Ahn CK ( 2018 ) Bias-constrained optimal fusion filtering for decentralized WSN with correlated noise sources . IEEE Trans Sign Inf Process over Networks 4 ( 4 ): 727 – 735 Zhao S , Ahn CK , Shi P , Shmaliy YS , Liu F ( 2019 ) Bayesian state estimation for Markovian jump systems . IEEE Syst Man Cyber Mag 5 ( 2 ): 27 – 36 Zhao S , Shmaliy YS , Liu F ( 2021 ) Optimal FIR filter for discrete-time LTV systems and fast iterative algorithm . IEEE Trans Circ Syst II , Express Briefs (to be published) Zhao S , Shmaliy YS , Andrade-Lucio JA ( 2021 ) Backward optimal FIR filtering and recursive forms for discrete LTV processes . Signal Process (to be published) Zhao S , Shmaliy YS , Andrade Lucio JA , Liu F ( 2021 ) Multi-pass optimal FIR filtering for processes with unknown initial states and temporary mismatches . IEEE Trans Ind Informat (to be published) Zhou K , Doyle JC , Glover K ( 1996 ) Robust and Optimal Control . Prentice-Hall , Upper Saddle River Zhu X , Soh YC , Xie L ( 2002 ) Design and analysis of discrete-time robust Kalman filters Automatica 38 ( 6 ): 1069 – 1077 Zhu C , Xia Y , Xie L , Yan L ( 2013 ) Optimal linear estimation for systems with transmission delays and packet dropouts . IET Sign Process 7 ( 9 ): 814 – 823 Optimal and Robust State Estimation: Finite Impulse Response (FIR) and Kalman Approaches ReferencesRelatedInformation" @default.
- W4285589999 created "2022-07-16" @default.
- W4285589999 date "2022-07-15" @default.
- W4285589999 modified "2023-10-16" @default.
- W4285589999 title "References" @default.
- W4285589999 cites W111418999 @default.
- W4285589999 cites W1490978409 @default.
- W4285589999 cites W1491231144 @default.
- W4285589999 cites W1513163557 @default.
- W4285589999 cites W1531532259 @default.
- W4285589999 cites W1557317064 @default.
- W4285589999 cites W1592003224 @default.
- W4285589999 cites W1600362533 @default.
- W4285589999 cites W1642248920 @default.
- W4285589999 cites W1651676304 @default.
- W4285589999 cites W1965894945 @default.
- W4285589999 cites W1965986641 @default.
- W4285589999 cites W1966264494 @default.
- W4285589999 cites W1971711046 @default.
- W4285589999 cites W1980775454 @default.
- W4285589999 cites W1982277911 @default.
- W4285589999 cites W1983641808 @default.
- W4285589999 cites W1987299350 @default.
- W4285589999 cites W1990187355 @default.
- W4285589999 cites W1990574190 @default.
- W4285589999 cites W1997210406 @default.
- W4285589999 cites W1998914394 @default.
- W4285589999 cites W1999982364 @default.
- W4285589999 cites W2000098639 @default.
- W4285589999 cites W2000191307 @default.
- W4285589999 cites W2000828173 @default.
- W4285589999 cites W2007249861 @default.
- W4285589999 cites W2008260828 @default.
- W4285589999 cites W2008379277 @default.
- W4285589999 cites W2008536834 @default.
- W4285589999 cites W2015826698 @default.
- W4285589999 cites W2016166491 @default.
- W4285589999 cites W2018015124 @default.
- W4285589999 cites W2024117041 @default.
- W4285589999 cites W2024522552 @default.
- W4285589999 cites W2025224408 @default.
- W4285589999 cites W2026117972 @default.
- W4285589999 cites W2031512523 @default.
- W4285589999 cites W2032451263 @default.
- W4285589999 cites W2034071287 @default.
- W4285589999 cites W2043357888 @default.
- W4285589999 cites W2045021643 @default.
- W4285589999 cites W2045266484 @default.
- W4285589999 cites W2046033161 @default.
- W4285589999 cites W2049898120 @default.
- W4285589999 cites W2052684110 @default.
- W4285589999 cites W2054734272 @default.
- W4285589999 cites W2055106264 @default.
- W4285589999 cites W2055319245 @default.
- W4285589999 cites W2059507126 @default.
- W4285589999 cites W2062362926 @default.
- W4285589999 cites W2063730763 @default.
- W4285589999 cites W2064183516 @default.
- W4285589999 cites W2065768901 @default.
- W4285589999 cites W2070535129 @default.
- W4285589999 cites W2070817676 @default.
- W4285589999 cites W2076186907 @default.
- W4285589999 cites W2081686474 @default.
- W4285589999 cites W2083094710 @default.
- W4285589999 cites W2083402998 @default.
- W4285589999 cites W2084641346 @default.
- W4285589999 cites W2087724757 @default.
- W4285589999 cites W2089866409 @default.
- W4285589999 cites W2089897235 @default.
- W4285589999 cites W2090529564 @default.
- W4285589999 cites W2093618564 @default.
- W4285589999 cites W2093735221 @default.
- W4285589999 cites W2093896126 @default.
- W4285589999 cites W2094227853 @default.
- W4285589999 cites W2098534029 @default.
- W4285589999 cites W2099000865 @default.
- W4285589999 cites W2099867508 @default.
- W4285589999 cites W2102031919 @default.
- W4285589999 cites W2102047877 @default.
- W4285589999 cites W2102190040 @default.
- W4285589999 cites W2105532434 @default.
- W4285589999 cites W2105934661 @default.
- W4285589999 cites W2109606373 @default.
- W4285589999 cites W2111812602 @default.
- W4285589999 cites W2112015490 @default.
- W4285589999 cites W2120133028 @default.
- W4285589999 cites W2120481125 @default.
- W4285589999 cites W2120600326 @default.
- W4285589999 cites W2120717581 @default.
- W4285589999 cites W2121990344 @default.
- W4285589999 cites W2123495415 @default.
- W4285589999 cites W2126347101 @default.
- W4285589999 cites W2126736494 @default.
- W4285589999 cites W2127660785 @default.
- W4285589999 cites W2128457724 @default.
- W4285589999 cites W2129611343 @default.
- W4285589999 cites W2131965724 @default.
- W4285589999 cites W2136706794 @default.