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Journal articles on the topic 'Continuous-Discrete filter'

Author: Grafiati

Published: 5 October 2024

Last updated: 31 July 2025

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1

Lange, Theresa. "Derivation of ensemble Kalman–Bucy filters with unbounded nonlinear coefficients." Nonlinearity 35, no. 2 (2021): 1061–92. http://dx.doi.org/10.1088/1361-6544/ac4337.

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Abstract We provide a rigorous derivation of the ensemble Kalman–Bucy filter as well as the ensemble transform Kalman–Bucy filter in case of nonlinear, unbounded model and observation operators. We identify them as the continuous time limit of the discrete-time ensemble Kalman filter and the ensemble square root filters, respectively, together with concrete convergence rates in terms of the discretisation step size. Simultaneously, we establish well-posedness as well as accuracy of both the continuous-time and the discrete-time filtering algorithms.

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2

Xia, Yuanqing, Zhihong Deng, Li Li, and Xiumei Geng. "A new continuous-discrete particle filter for continuous-discrete nonlinear systems." Information Sciences 242 (September 2013): 64–75. http://dx.doi.org/10.1016/j.ins.2013.04.030.

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Hu, Haoran, Shuxin Chen, Hao Wu, and Renke He. "Robust Estimation in Continuous–Discrete Cubature Kalman Filters for Bearings-Only Tracking." Applied Sciences 12, no. 16 (2022): 8167. http://dx.doi.org/10.3390/app12168167.

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The model of bearings-only tracking is generally described by discrete–discrete filtering systems. Discrete robust methods are also frequently used to address measurement uncertainty problems in bearings-only tracking. The recently popular continuous–discrete filtering system considers the state model of the target to be continuous in time, and is more suitable for bearings-only tracking because of its higher mathematical solution accuracy. However, the sufficient evaluation of robust methods in continuous–discrete systems is not available. In addition, in the different continuous–discrete mea

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4

Sharma, Shambhu N., and H. Parthasarathy. "A two-body continuous-discrete filter." Nonlinear Dynamics 51, no. 1-2 (2007): 155–70. http://dx.doi.org/10.1007/s11071-007-9199-0.

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5

Chen, Xiuqiong, Jiayi Kang, and Stephen S. T. Yau. "Continuous discrete optimal transportation particle filter." Asian Journal of Mathematics 29, no. 1 (2025): 51–76. https://doi.org/10.4310/ajm.250429054646.

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6

Murata, Masaya, and Kaoru Hiramatsu. "Non-Gaussian Filter for Continuous-Discrete Models." IEEE Transactions on Automatic Control 64, no. 12 (2019): 5260–64. http://dx.doi.org/10.1109/tac.2019.2914953.

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7

Knudsen, Torben, and John Leth. "A New Continuous Discrete Unscented Kalman Filter." IEEE Transactions on Automatic Control 64, no. 5 (2019): 2198–205. http://dx.doi.org/10.1109/tac.2018.2867325.

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8

Chubich, Vladimir, and Svetlana Kulabukhova. "Research on the effectiveness of continuous-discrete cubature Kalman filter robust modifications." Information and Control Systems, no. 4 (August 24, 2020): 11–19. http://dx.doi.org/10.31799/1684-8853-2020-4-11-19.

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Introduction: usually there are some outliers (abnormal measurements) in observed data, and they can significantly affect the quality of the data processing. Many dynamic processes are described with stochastic nonlinear equations. Modern nonlinear filters that include the cubature Kalman filter, which deserves a special attention, cannot effectively process data containing abnormal measurements. One of the possible solutions to this problem is to use so-called robust methods that have good performance when one has to analyze data containing outliers. The paper deals with the common situations

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9

Rudenko, E. A. "Optimal continuous-discrete nonlinear finite memory filter with a discrete predictions." Journal of Computer and Systems Sciences International 55, no. 6 (2016): 878–93. http://dx.doi.org/10.1134/s1064230716050129.

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10

Weller, S. R., A. Feuer, G. C. Goodwin, and H. V. Poor. "Interrelations between continuous and discrete lattice filter structures." IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 40, no. 11 (1993): 705–13. http://dx.doi.org/10.1109/82.251838.

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11

Jwo, Dah-Jing, and Amita Biswal. "Implementation and Performance Analysis of Kalman Filters with Consistency Validation." Mathematics 11, no. 3 (2023): 521. http://dx.doi.org/10.3390/math11030521.

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This paper provides a useful supplement note for implementing the Kalman filters. The material presented in this work points out several significant highlights with emphasis on performance evaluation and consistency validation between the discrete Kalman filter (DKF) and the continuous Kalman filter (CKF). Several important issues are delivered through comprehensive exposition accompanied by supporting examples, both qualitatively and quantitatively for implementing the Kalman filter algorithms. The lesson learned assists the readers to capture the basic principles of the topic and enables the

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12

Shald, Scott. "The continuous kalman filter as the limit of the discrete kalman filter." Stochastic Analysis and Applications 17, no. 5 (1999): 841–56. http://dx.doi.org/10.1080/07362999908809638.

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13

Bäuerle, Nicole, Igor Gilitschenski, and Uwe Hanebeck. "Exact and approximate hidden Markov chain filters based on discrete observations." Statistics & Risk Modeling 32, no. 3-4 (2015): 159–76. http://dx.doi.org/10.1515/strm-2015-0004.

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Abstract We consider a Hidden Markov Model (HMM) where the integrated continuous-time Markov chain can be observed at discrete time points perturbed by a Brownian motion. The aim is to derive a filter for the underlying continuous-time Markov chain. The recursion formula for the discrete-time filter is easy to derive, however involves densities which are very hard to obtain. In this paper we derive exact formulas for the necessary densities in the case the state space of the HMM consists of two elements only. This is done by relating the underlying integrated continuous-time Markov chain to th

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14

Santos‐Díaz, Eduardo, Simon Haykin, and Thomas R. Hurd. "Fifth‐degree continuous–discrete cubature Kalman filter for radar." IET Radar, Sonar & Navigation 12, no. 11 (2018): 1225–32. http://dx.doi.org/10.1049/iet-rsn.2018.5148.

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15

Duan, Zhaoxia, Jinling Liang, and Zhengrong Xiang. "Filter design for continuous-discrete Takagi-Sugeno fuzzy system with finite frequency specifications." Mathematical Modelling and Control 3, no. 4 (2023): 387–99. http://dx.doi.org/10.3934/mmc.2023031.

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<abstract><p>This paper was concerned with the problem of filter design for the continuous-discrete system in the Takagi-Sugeno (T-S) fuzzy model. In a known finite frequency (FF) domain, an FF $ H_\infty $ performance was defined for the nonlinear continuous-discrete system. With the designed filter, sufficient conditions were then established for the filtering error system to be asymptotically stable and having a prescribed FF $ H_\infty $ performance. After that, a systematic method for the filter design was proposed. Finally, an example was provided to check effectiveness of th

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16

NIELSEN, JAN NYGAARD, and MARTIN VESTERGAARD. "ESTIMATION IN CONTINUOUS-TIME STOCHASTIC VOLATILITY MODELS USING NONLINEAR FILTERS." International Journal of Theoretical and Applied Finance 03, no. 02 (2000): 279–308. http://dx.doi.org/10.1142/s0219024900000139.

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The stylized facts of stock prices, interest and exchange rates have led econometricians to propose stochastic volatility models in both discrete and continuous time. However, the volatility as a measure of economic uncertainty is not directly observable in the financial markets. The objective of the continuous-discrete filtering problem considered here is to obtain estimates of the stock price and, in particular, the volatility using discrete-time observations of the stock price. Furthermore, the nonlinear filter acts as an important part of a proposed method for maximum likelihood for estima

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17

Cui, Li Hong, Yan Zhou, Bin Huang, and Jian Jun Sun. "Moments and Parametrizing Construction for 3-Band Biorthogonal Scaling Coefficients." Applied Mechanics and Materials 284-287 (January 2013): 3189–93. http://dx.doi.org/10.4028/www.scientific.net/amm.284-287.3189.

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Regensburger and Scherzer described a symbolic computation method for moments and filter coefficients of scaling functions and obtained parametrizing compactly supported orthonormal wavelets. Following the idea, we are devoted to a study moments and parameterization construction for 3-band biorthogonal scaling coefficients with several vanishing moments. Firstly, we investigate the relations between filter lengths and symmetry. Then, we prove the relationship between dual continuous moments of 3-band biorthogonal scaling functions in theorem 2. This theorem reveals that the sum of continuous m

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18

Patel, Zubeida, and Edward Boje. "A Hybrid, Coupled Approach to the Continuous-Discrete Kalman Filter." IEEE Control Systems Letters 5, no. 3 (2021): 827–32. http://dx.doi.org/10.1109/lcsys.2020.3005329.

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19

Frogerais, P., Jean-Jacques Bellanger, and L. Senhadji. "Various Ways to Compute the Continuous-Discrete Extended Kalman Filter." IEEE Transactions on Automatic Control 57, no. 4 (2012): 1000–1004. http://dx.doi.org/10.1109/tac.2011.2168129.

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20

Kulikov, Gennady Yu, and Maria V. Kulikova. "Accurate Numerical Implementation of the Continuous-Discrete Extended Kalman Filter." IEEE Transactions on Automatic Control 59, no. 1 (2014): 273–79. http://dx.doi.org/10.1109/tac.2013.2272136.

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21

Wang, Jiaolong, Jihe Wang, Dexin Zhang, and Xiaowei Shao. "Stochastic Feedback Based Kalman Filter for Nonlinear Continuous-Discrete Systems." IEEE Transactions on Automatic Control 63, no. 9 (2018): 3002–9. http://dx.doi.org/10.1109/tac.2017.2776604.

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22

Niu, Yifeng, Yirui Cong, and Lizhen Wu. "Event-Triggered Continuous-Discrete Kalman Filter With Controllable Estimation Error." IEEE Access 6 (2018): 42482–96. http://dx.doi.org/10.1109/access.2018.2860626.

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23

Kulikov, Gennady Yu, and Maria V. Kulikova. "The Accurate Continuous-Discrete Extended Kalman Filter for Radar Tracking." IEEE Transactions on Signal Processing 64, no. 4 (2016): 948–58. http://dx.doi.org/10.1109/tsp.2015.2493985.

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24

Mao, Hongquan. "Advancements in Filter Technology: Evolution and Applications." Highlights in Science, Engineering and Technology 97 (May 28, 2024): 112–16. http://dx.doi.org/10.54097/603hn182.

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This paper explores the historical trajectory and contemporary applications of signal processing filters. From the early days of analog filters to the current digital era, the paper traces their evolution, emphasizing key developments in active RC filters, monolithic integrated op amps, and the transition to switched-capacitor and continuous-time filters. Fundamentals of analog and digital filters are outlined, distinguishing their processing of continuous-time and discrete-time signals. The classification of filters, including low-pass, high-pass, band-pass, and band-stop, is discussed with i

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25

Moireau, P. "A discrete-time optimal filtering approach for non-linear systems as a stable discretization of the Mortensen observer." ESAIM: Control, Optimisation and Calculus of Variations 24, no. 4 (2018): 1815–47. http://dx.doi.org/10.1051/cocv/2017077.

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In this work, we seek exact formulations of the optimal estimator and filter for a non-linear framework, as the Kalman filter is for a linear framework. The solution is well established with the Mortensen filter in a continuous-time setting, but we seek here its counterpart in a discrete-time context. We demonstrate that it is possible to pursue at the discrete-time level an exact dynamic programming strategy and we find an optimal estimator combining a prediction step using the model and a correction step using the data. This optimal estimator reduces to the discrete-time Kalman estimator whe

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26

Reddy, Anugu Sumith, and Amit Apte. "Stability of non-linear filter for deterministic dynamics." Foundations of Data Science 3, no. 3 (2021): 647. http://dx.doi.org/10.3934/fods.2021025.

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<p style='text-indent:20px;'>This papers shows that nonlinear filter in the case of deterministic dynamics is stable with respect to the initial conditions under the conditions that observations are sufficiently rich, both in the context of continuous and discrete time filters. Earlier works on the stability of the nonlinear filters are in the context of stochastic dynamics and assume conditions like compact state space or time independent observation model, whereas we prove filter stability for deterministic dynamics with more general assumptions on the state space and observation proce

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27

Чубич, Владимир Михайлович, and Светлана Олеговна Кулабухова. "Square-root algorithms for robust modifications of the continuous-discrete cubature Kalman filter." Вычислительные технологии, no. 3 (July 15, 2020): 88–98. http://dx.doi.org/10.25743/ict.2020.25.3.010.

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Предложены две устойчивые к ошибкам машинного округления и к аномальным данным квадратно-корневые модификации непрерывно-дискретного кубатурного фильтра Калмана, основанные на вариационном байесовском и коррентропийном подходах. Апробация разработанных алгоритмов на модельной задаче со случайным характером расположения аномальных наблюдений показала их работоспособность при сопоставимом качестве фильтрации. Подтверждена алгебраическая эквивалентность представленных квадратно-корневых и стандартных версий Rounding errors due to the finite length of machine word can significantly affect the qual

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28

Li, Linmin, Peng Lin, and Junfeng Zhang. "Event-Triggered Asynchronous Filter of Positive Switched Systems with State Saturation." Mathematical Problems in Engineering 2022 (June 21, 2022): 1–24. http://dx.doi.org/10.1155/2022/7276646.

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This paper investigates the event-triggered asynchronous filter of positive switched systems with state saturation using linear programming and multiple Lyapunov functions. First, a filter is constructed for continuous-time positive switched systems. Under the asynchronous switching law, an error system is proposed with respect to positive switched systems and their filters, where the state saturation term is described in a polytopic form by virtue of the saturation property. A novel event-triggering condition is addressed based on a 1-norm inequality. Under the event-triggering condition, the

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29

REZAI-RAD, GHOLAMALI, and AHMAD CHELDAVI. "DISCRETE TIME-DOMAIN ANALYSIS OF NONUNIFORM LOSSLESS COUPLED TRANSMISSION LINES." Journal of Circuits, Systems and Computers 14, no. 05 (2005): 973–86. http://dx.doi.org/10.1142/s0218126605002763.

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In this paper, a discrete time-domain method to analyze multiple coupled nonuniform lossless transmission lines has been presented. The solution is based on the steplines approximation of the nonuniform transmission lines and quasi-TEM assumptions. Using steplines approximation, the system of coupled nonuniform transmission lines is decomposed into a large number of coupled steplines with different characteristics. Then, using modal decomposition method, the system of coupled partial differential equations for each step is decomposed to a set of uncoupled ordinary wave equation. Using time-dom

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30

Jimenez, Juan Carlos. "Approximate linear minimum variance filters for continuous-discrete state space models: convergence and practical adaptive algorithms." IMA Journal of Mathematical Control and Information 36, no. 2 (2017): 341–78. http://dx.doi.org/10.1093/imamci/dnx047.

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Abstract In this article, approximate linear minimum variance (LMV) filters for continuous-discrete state space models are introduced. The filters are derived from a wide class of recursive approximations to the predictions for the first two conditional moments of the state equation between each pair of consecutive observations. The convergence of the approximate filters to the exact LMV filter is proved when the error between the predictions and their approximations decreases no matter the time distance between observations. As particular instance, the order-$\beta$ local linearization filter

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31

Tempe, Smita Vasant. "A Review on Image Denoising Techniques." International Journal for Research in Applied Science and Engineering Technology 9, no. 12 (2021): 761–64. http://dx.doi.org/10.22214/ijraset.2021.39342.

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Abstract: The goal of this study is to find a "genuine" two-dimensional transform that can capture the fundamental geometrical structure that is important in visual information. The discontinuous character of the data is the most difficult aspect of analysing geometry in photographs. Unlike previous approaches, such as curvelets, which generate a transform in the continuous domain and then discretize for sampled data, we begin with a discrete-domain construction and then investigate its convergence to a continuous-domain expansion. We use nonseparable filter banks to create a discrete-domain m

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32

Ye, Hongling, Ning Chen, Yunkang Sui, and Jun Tie. "Three-Dimensional Dynamic Topology Optimization with Frequency Constraints Using Composite Exponential Function and ICM Method." Mathematical Problems in Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/491084.

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The dynamic topology optimization of three-dimensional continuum structures subject to frequency constraints is investigated using Independent Continuous Mapping (ICM) design variable fields. The composite exponential function (CEF) is selected to be a filter function which recognizes the design variables and to implement the changing process of design variables from “discrete” to “continuous” and back to “discrete.” Explicit formulations of frequency constraints are given based on filter functions, first-order Taylor series expansion. And an improved optimal model is formulated using CEF and

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33

Liu, Kaiyue, Shuke Lyu, Rui Wang, Chenkang Gao, Xiangyu Yang, and Yongtao Liu. "Discrete-Time Internal Model Control with Equal-Order Fractional Butterworth Filter for Multivariable Systems." Processes 13, no. 7 (2025): 2161. https://doi.org/10.3390/pr13072161.

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A novel discrete-time internal model control (IMC) method cascaded with a discrete-time equal-order fractional Butterworth (EFBW) filter is proposed for multivariable systems with time-delay and non-minimum-phase (NMP) zeros. This is the first attempt to design such a control scheme in the discrete-time domain, as previous work has typically focused on continuous-time systems. An inverted decoupling (ID) method is introduced and integrated with the discrete-time IMC controller, forming a discrete-time ID-IMC scheme that mitigates coupling effects among control loops. Additionally, a discrete-t

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34

Zhang, Zhiqiang, Zhongle Liu, and Hongxin Zhang. "Underwater mobile gravity measurement data processing using continuous-discrete Kalman filter." AIP Advances 11, no. 8 (2021): 085104. http://dx.doi.org/10.1063/5.0054053.

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35

Cacace, Filippo, Valerio Cusimano, Alfredo Germani, Pasquale Palumbo, and Marco Papi. "Optimal Continuous-Discrete Linear Filter and Moment Equations for Nonlinear Diffusions." IEEE Transactions on Automatic Control 65, no. 10 (2020): 3961–76. http://dx.doi.org/10.1109/tac.2019.2953456.

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36

Kulikov, Gennady Yu, and Maria V. Kulikova. "High-order accurate continuous-discrete extended Kalman filter for chemical engineering." European Journal of Control 21 (January 2015): 14–26. http://dx.doi.org/10.1016/j.ejcon.2014.11.003.

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37

Liu, Bin. "Ensemble unscented Kalman filter for state inference in continuous–discrete systems." Journal of Engineering 2014, no. 5 (2014): 234–37. http://dx.doi.org/10.1049/joe.2014.0076.

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38

Garcia-Fernandez, Angel F., and Simon Maskell. "Continuous-Discrete Multiple Target Filtering: PMBM, PHD and CPHD Filter Implementations." IEEE Transactions on Signal Processing 68 (2020): 1300–1314. http://dx.doi.org/10.1109/tsp.2020.2968247.

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39

Aalto, Atte. "Convergence of discrete-time Kalman filter estimate to continuous time estimate." International Journal of Control 89, no. 4 (2015): 668–79. http://dx.doi.org/10.1080/00207179.2015.1090017.

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40

Bosov, Alexey Vyacheslavovich, and Irina Anatol'evna Kudryavtseva. "Analysis of Algorithms of Numerical Implementations for the Wonham Filter Under Uncertainty in Measurements Noise Covariance." Differential Equations and Control Processes, no. 3 (2024): 28–46. https://doi.org/10.21638/11701/spbu35.2024.303.

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The paper addresses the filtering a continuous-time Markov chain states that can be observed through linear measurements perturbed by a Wiener process. There is supposed the presence of uncertainty in the intensity of measurements noises. The problem is worked out under the assumption of unknown intensity but subject to its known upper bound. If there is no uncertainty in measurements the optimal solution is provided by the Wonham filter that doesn't ensure stable numerical implementations. The paper exposes that the Wonham filter shows robustness in the presence of uncertainty if model's para

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41

Lian, Jing, Lin Hui Li, Xiao Yong Shen, and Xian Peng Hao. "Multi-Scale Edge Extraction Based Stereo Matching Algorithm." Applied Mechanics and Materials 44-47 (December 2010): 4162–66. http://dx.doi.org/10.4028/www.scientific.net/amm.44-47.4162.

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In the field of robot vision, edge feature based stereo matching algorithm can reconstruct the targets with clear contours, which needs accurate and continuous target edges been extracted. In the paper, the smoothing filter operator was designed based on the discrete criteria of edge extraction and its correspondence optimal linear filter. Edge extraction was carried out incorporated the nonmaximum suppression and two thresholds techniques. The discrete criteria based multi-scale edge extraction method was studied with full use of the multi-scale character of the edge information. The detected

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42

Rashmi, Ruchi, and Shweta Jagtap. "A comparative study of phase margin based digital and analog controlled synchronous buck with optimum LC filter." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 6 (2019): 2020–39. http://dx.doi.org/10.1108/compel-12-2018-0508.

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Purpose Traditionally, industrial power supplies have been exclusively controlled through analog control to sustain high reliability with low cost. However, with the perpetual decrement in cost of digital controllers, the feasibility of a digitally controlled switch mode power supply has elevated significantly. This paper aims to outline the challenges related to the design of digital proportional-integral (PI) controlled synchronous rectifier (SR) buck converter by comparing controller performance in continuous and discrete time. The trapezoidal approximation-based digital PI control is desig

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43

Belonogov, Viktor. "Operational Adaptation of Digital Filter Parameters when Changing the Discrete Time Step in the Problems of Forming the Control of Unmanned Vehicles Using Satellite Measurements." E3S Web of Conferences 446 (2023): 05004. http://dx.doi.org/10.1051/e3sconf/202344605004.

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For the tasks of controlling unmanned vehicles using external information signals, in some cases, a change in the time parameters T0 of periodic data receipt is typical. Such systems, the processing of incoming information in order to form digital control is implemented by digital filters (DF), based on discrete samples x[k] of some continuous signal x(t) at quantization times tk=k*T0 Here T0[seconds]- the period of discreteness in time, k=0,1,2,.. an integer variable, essentially a time counter. The properties of the filter are uniquely specified by its specific mathematical model - the discr

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44

Sharroush, Sherif, and Yasser Abdalla. "A Real-Time Electronically Tunable All-MOS Universal Biquadratic Voltage-Mode Filter." Jordan Journal of Electrical Engineering 9, no. 2 (2023): 242. http://dx.doi.org/10.5455/jjee.204-1671142029.

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— In this paper, an electronically tunable universal biquadratic voltage-mode filter that is based only on MOS transistors is proposed. Configuration of the proposed filter is simple and there is no need to use component matching. Since the proposed filter contains only MOS transistors, it is very suitable for implementation in system-on-chip (SoC) applications. The cutoff frequency of the lowpass (LP) and highpass (HP) filters as well as the center frequency and the bandwidth of the bandpass (BP) and bandstop (BS) filters can be controlled either in a continuous range or in a discrete manner

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45

Kramar, Vadim, Kirill Dementiev, and Aleksey Kabanov. "Optimal State Estimation in Underwater Vehicle Discrete-Continuous Measurements via Augmented Hybrid Kalman Filter." Journal of Marine Science and Engineering 13, no. 5 (2025): 933. https://doi.org/10.3390/jmse13050933.

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The paper focuses on the optimal state-estimation algorithm for discrete-continuous systems. The research aim is to create an effective strategy for combining data from continuous and discrete information sources to improve the state estimation accuracy and reliability of complex dynamic systems. The paper discusses, in detail, the theoretical foundations of the proposed method, including the mathematical description of continuous and discrete models, and its optimality criterion formulation. State-vector augmentation is proposed to improve the estimation convergence. The authors present numer

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46

Stoica, Adrian Mihail. "A New Kalman-Type Approach for Satellites Attitude Determination." Applied Mechanics and Materials 555 (June 2014): 57–65. http://dx.doi.org/10.4028/www.scientific.net/amm.555.57.

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This paper presents a Kalman type method for attitude determination of satellites. It is shown that the linearized model describing the satellite kinematics may be expressed as a stochastic system corrupted with both additive and multiplicative white noise. For this class of stochastic models a hybrid Kalman filter is used to estimate the quaternion expressing the satellite attitude and the bias of the inertial measurement unit. By contrast with the classical Kalman filters, the hybrid filter used in this paper includes a continuous-time and a discrete-time component. The advantage is that it

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47

Korshunov, A. I. "Approximate compensation of "stable" poles of the transfer function of the continuous part of calculated electromechanical digital tracking system." Izvestiâ vysših učebnyh zavedenij Priborostroenie 68, no. 3 (2025): 219–27. https://doi.org/10.17586/0021-3454-2025-68-3-219-232.

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Calculation of a digital tracking system (DTS) with the use of approximate compensation of the poles of the system continuous part (CP) lying in the stability region by the filter zeros of the its discrete part is considered. Unlimited increase in the compensation accuracy with decreasing sampling period theoretically allows making the linearized DTS model invariant with compensation of only the speed error. The simulation model of the DTS constructed in the MatLab Simulink system allows reducing its calculation to the selection of the CP conversion coefficient, sampling period, and parameter

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48

Detkov, A. N. "Optimal Discrete Estimation of Reference Points of a Discrete-Continuous Markov Process against the Background of Correlated Markov Noise." Радиотехника и электроника 68, no. 7 (2023): 650–59. http://dx.doi.org/10.31857/s0033849423060025.

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In this paper, we solve the problem of synthesizing optimal and quasi-optimal algorithms for estimating the reference points of continuous components of a vector discrete-continuous Markov random process with allowance for the known statistical characteristics of additive Markovian correlated noise using the methods of the Markov theory of estimation of random processes. The method of difference measurements was used while synthesizing the algorithms. A block diagram of a quasi-optimal digital filter is given. Using a simple example, simulation shows the performance of a quasi-optimal algorith

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Gajic, Z., and J. Boka. "Kalman Filtering Error Due to Inaccuracy in Filter’s Initial Condition." Journal of Dynamic Systems, Measurement, and Control 119, no. 1 (1997): 119–22. http://dx.doi.org/10.1115/1.2801202.

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It is a very well known fact that the initial condition of the optimal linear Kalman filter has to be set at the mean value of the system initial state. In this paper, we have derived an expression for the filtering error in the case when this condition is not satisfied. Both continuous- and discrete-time domain filters are considered. The obtained results are simple and elegant and clearly indicate the effect of the erroneous filter’s initial condition. An example is included in order to demonstrate the results obtained.

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Belonogov, Viktor D. "Reconstruction of digital filter parameters when changing the data arrival period." Revista Amazonia Investiga 11, no. 50 (2022): 161–69. http://dx.doi.org/10.34069/ai/2022.50.02.16.

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We consider the problem of forming an algorithm for the operation of a digital filter that provides processing, according to a certain law, of discrete samples x[k] of some continuous signal x(t) at the moments of quantization tк=k ∙T0, where T0 -[second]- is the discreteness period in time, and k=0,1,2,.. is the integer variable defining dimensionless discrete time. This work poses and solves the problem of forming the digital filter parameters restructuring, which ensures that the filtering properties remain unchanged when the frequency of information is changed, in particular, the constancy

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