Relevant bibliographies by topics / Theorem of Kotelnikov-Nyquist-Shannon

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Theorem of Kotelnikov-Nyquist-Shannon'

Author: Grafiati
Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Theorem of Kotelnikov-Nyquist-Shannon"

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Mayorov, B. G. "Determination of parameters of models of signal deviation from neighboring samples by convex functions." Issues of radio electronics 49, no. 9 (October 28, 2020): 46–54. http://dx.doi.org/10.21778/2218-5453-2020-9-46-54.

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The paper considers the Nyquist-Shannon-Kotelnikov theorem, the Khlistunov criterion of the greatest deviation, the corresponding deterministic formulas for finding a constant sampling interval of a signal in time and their drawbacks in traditional applications in real-time control systems. Mathematical models of the behavior of a signal or a controlled process between two adjacent samples from it along the trajectory of the greatest deviation in the form of convex functions (half-wave of a sinusoid, a power function of the modulus of time), which are free from these shortcomings, are considered. Constraints are found on the number and magnitude of the time parameters of these models, such as maximum speed, acceleration and sharpness, which are determined by analyzing the signal spectrum and the Nyquist interval. Formulas are obtained, examples of calculations and graphs are given, which illustrate the dependence of the time sampling interval on the accuracy of the linear approximation of the signal and allow increasing the number of signals processed in the system without increasing requirements for its performance.
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Gribanov, A. N., S. E. Gavrilova, A. E. Dorofeev, G. F. Moseychuk, and O. S. Alekseev. "A method for measuring dynamic radiation patterns of passive and active phased antenna arrays." Journal of «Almaz – Antey» Air and Space Defence Corporation, no. 4 (December 30, 2016): 32–40. http://dx.doi.org/10.38013/2542-0542-2016-4-32-40.

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The study deals with a method for measuring dynamic radiation patterns of phased antenna arrays and active phased antenna arrays. The method consists of measuring the signal during electronically scanning the beam of a static antenna. We show the main differences between dynamic and static radiation patterns. The Whittaker Nyquist – Kotelnikov – Shannon sampling theorem forms the basis of our recommendations for selecting the number of measurement points in the case of a dynamic radiation pattern. We supply a diagram of a work station dedicated to measuring dynamic radiation patterns using the workbench developed by the Joint-stock company “V. Tikhomirov Scientific Research Institute of Instrument Design”. We present measured static and dynamic radiation patterns of a real-world active phased antenna array.Our method for measuring dynamic radiation patterns significantly decreases the time required for determining radiation characteristics of phased antenna arrays and active phased antenna arrays for separate angular cross-sections and over the whole visibility scope, and increases their information content. Moreover, measuring dynamic radiation patterns does not require a rotating workbench. It is possible to use dynamic radiation pattern to determine static (as measured by turning the antenna) far-field patterns, to restore electric current magnitude and phase distribution over the aperture and to troubleshoot the antenna.
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Grudinin, Sergei, Maria Garkavenko, and Andrei Kazennov. "Pepsi-SAXS: an adaptive method for rapid and accurate computation of small-angle X-ray scattering profiles." Acta Crystallographica Section D Structural Biology 73, no. 5 (April 27, 2017): 449–64. http://dx.doi.org/10.1107/s2059798317005745.

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A new method calledPepsi-SAXSis presented that calculates small-angle X-ray scattering profiles from atomistic models. The method is based on the multipole expansion scheme and is significantly faster compared with other tested methods. In particular, using the Nyquist–Shannon–Kotelnikov sampling theorem, the multipole expansion order is adapted to the size of the model and the resolution of the experimental data. It is argued that by using the adaptive expansion order, this method has the same quadratic dependence on the number of atoms in the model as the Debye-based approach, but with a much smaller prefactor in the computational complexity. The method has been systematically validated on a large set of over 50 models collected from the BioIsis and SASBDB databases. Using a laptop, it was demonstrated thatPepsi-SAXSis about seven, 29 and 36 times faster compared withCRYSOL,FoXSand the three-dimensional Zernike method inSAStbx, respectively, when tested on data from the BioIsis database, and is about five, 21 and 25 times faster compared withCRYSOL,FoXSandSAStbx, respectively, when tested on data from SASBDB. On average,Pepsi-SAXSdemonstrates comparable accuracy in terms of χ2toCRYSOLandFoXSwhen tested on BioIsis and SASBDB profiles. Together with a small allowed variation of adjustable parameters, this demonstrates the effectiveness of the method.Pepsi-SAXSis available at http://team.inria.fr/nano-d/software/pepsi-saxs.
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Abramov, Yuriy, Oleksii Basmanov, Valentina Krivtsova, Vitaliy Sobyna, and Dmitry Sokolov. "Developing a method for determining the dynamic parameters of the operator of a mobile fire engine based on a Segway." Eastern-European Journal of Enterprise Technologies 3, no. 3 (111) (June 30, 2021): 58–63. http://dx.doi.org/10.15587/1729-4061.2021.233365.

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A method for determining the dynamic parameters of the operator of a mobile fire engine based on a segway, which fully characterize its dynamic properties – delay time and inertia was developed. The development of the method includes four stages. At the first stage, the problem of obtaining analytical relationships for determining the dynamic parameters of the operator is solved. These relationships include the frequency characteristics of the operator at a fixed frequency and its static parameter. At the second stage, the choice of a fixed frequency is substantiated using a criterion that minimizes errors in determining the dynamic parameters. It is shown that the fixed frequency for the characteristic parameters of the operator does not exceed 0.5 Hz. The third stage includes substantiation of the procedure for determining the frequency characteristics of the operator and its static parameter. The frequency characteristics of the operator at a fixed frequency and its static parameter are determined numerically. This procedure is based on using the data obtained by measuring the values of the operator’s transfer function at fixed time intervals. To obtain data, an interactive analog engine is used, which can also perform the functions of a simulator. The time intervals are chosen according to the Kotelnikov-Nyquist-Shannon theorem. At the last stage, the procedure for determining the dynamic parameters of the operator of a segway-based mobile fire engine is described. It is shown that the error in determining the dynamic parameters of the operator of a mobile fire engine does not exceed 9.0 %, if the error in determining its frequency characteristics at a frequency of 2.5 s–1 does not exceed 2.0 %
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Abramov, Y., V. Kryvtsova, and A. Mikhailyuk. "JUSTIFICATION OF THE METHOD OF DETERMINATION OF THE CONSTANT TIME OF THE GAS GENERATOR OF THE SYSTEM OF STORAGE AND SUPPLY OF HYDROGEN." Municipal economy of cities 3, no. 163 (June 29, 2021): 216–20. http://dx.doi.org/10.33042/2522-1809-2021-3-163-216-220.

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The method of determining the dynamic parameter - the time constant of the gas generator of the storage and supply of hydrogen on the basis of the hydro-reactive composition is substantiated. The method is based on the use of the amplitude-frequency characteristics of the gas generator of the storage and supply system of hydrogen. The method involves the implementation of three stages. At the first stage, the mathematical dependence of the gas generator time constant on its static parameter and amplitude-frequency characteristic at a fixed frequency is obtained. In the second stage, the choice of this fixed frequency is justified. This dependence includes the value of the amplitude-frequency characteristic of the gas generator of the storage and supply of hydrogen at a fixed frequency, the static parameter of such a gas generator – its transmission coefficient, and the value of the fixed frequency. In the second stage, the choice of this fixed frequency is justified. This choice is made provided that the minimum error in determining the time constant of the gas generator. To determine the static parameter of the gas generator and the value of its amplitude-frequency characteristic at a fixed frequency, an array of data is used, which is formed by measuring the values ​​of the transient function of the gas generator through equal moments of time. These time intervals are chosen according to the Kotelnikov-Nyquist-Shannon theorem. The amplitude-frequency characteristic of the gas generator of the hydrogen storage and supply system is determined numerically. According to the research results, an iterative procedure for determining the time constant of the gas generator of the hydrogen storage and supply system is given. Recommendations for using this procedure are given. The choice of the time constant of the gas generator of the hydrogen storage and supply system is made using the tolerance criterion.
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Abramov, Y., V. Kryvtsova, and A. Mikhailyuk. "ALGORITHM FOR DETERMINATION OF RELIABILITY INDICATOR OF GAS GENERATOR OF HYDROGEN STORAGE AND SUPPLY SYSTEM." Municipal economy of cities 4, no. 164 (October 1, 2021): 153–57. http://dx.doi.org/10.33042/2522-1809-2021-4-164-153-157.

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An algorithm for determining one of the indicators of reliability of the main element of the hydrogen storage and supply system – a gas generator has been developed. Such an algorithm is an integral part of the general algorithm to ensure the required level of fire safety of hydrogen storage and supply systems. The algorithm involves the implementation of several stages. At the first stage, using the expression for the amplitude-frequency characteristic of the gas generator, the functional dependences for its time constants are obtained. These functional dependencies include the values of the transmission coefficient and amplitude-frequency characteristics, which are determined at three a priori set values of frequency. In the second stage, the amplitude-frequency characteristic of the gas generator is determined. For this purpose, an array of data is used, which characterizes the reaction of the gas generator to the test effect in the form of an abrupt change in the area of its outlet. The amplitude-frequency characteristic of the gas generator is determined numerically, and its parameters are the increase in the pressure in the cavity of the gas generator and the time interval at which this increase is determined. The Kotelnikov-Nyquist-Shannon theorem is used to determine this time interval. At the third stage, the probability of the values of the time constants of the gas generator outside the tolerance zone is determined. For this purpose, models of gas generator time constants and their metrological characteristics are used. In the fourth stage, the probability of failure of the gas generator is determined, for which the information of the previous stage is used. At the last stage, the algorithm for determining the probability of failure of the gas generator of the storage and supply system of hydrogen, which is given in verbal form.
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Molchanov, Andrey. "STUDY OF THE CHARACTERISTICS OF THE LINEAR SOLUTION AND RESOLUTION ABILITY OF DIGITAL AEROFOTOSYSTEMS USING THE KOTELNIKOV-NYQUIST-SHANNON THEOREM." Engineering Solutions 3, no. 2 (February 18, 2019). http://dx.doi.org/10.32743/2658-6479.2019.2.3.85.

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Dissertations / Theses on the topic "Theorem of Kotelnikov-Nyquist-Shannon"

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Евсеенко, Олег Николаевич, and Сергей Михайлович Савицкий. "Описание метода управления тепловым объектом с распределёнными параметрами с помощью широтно-импульсной модуляции и предсказывающего фильтра." Thesis, Національний технічний університет "Харківський політехнічний інститут", 2013. http://repository.kpi.kharkov.ua/handle/KhPI-Press/48405.

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Предложен метод управления для тепловых объектов, получены разгонные кривые теплового объекта, рассчитан максимально допустимый период дискретизации переходного процесса по теореме Котельникова, выбрана частота дискретизации, проведён эксперимент по управлению инерционным тепловым объектом.
Proposed a method of control thermal objects, obtained the acceleration curves of an object, calculated the maximum allowable sampling period of transition with the theorem of Kotelnikov, chosen the sampling frequency, conducted experiments for control the temperature of inertial object.
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Book chapters on the topic "Theorem of Kotelnikov-Nyquist-Shannon"

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Alexeev, Boris V. "Connection Between Time Quantization in the Frame of Nonlocal Relativistic Physics and Shannon-Nyquist-Kotelnikov Theorem." In Unified Non-Local Relativistic Theory of Transport Processes, 411–28. Elsevier, 2016. http://dx.doi.org/10.1016/b978-0-444-63854-0.00012-x.

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Conference papers on the topic "Theorem of Kotelnikov-Nyquist-Shannon"

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Troyanovskyi, Vladimir M., Victor D. Koldaev, Alena A. Zapevalina, Olga A. Serduk, and Kseniia S. Vasilchuk. "Why the using of Nyquist-Shannon-Kotelnikov sampling theorem in real-time systems is not correct?" In 2017 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus). IEEE, 2017. http://dx.doi.org/10.1109/eiconrus.2017.7910736.

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Zamaruiev, V. V. "The use of Kotelnikov-Nyquist-Shannon sampling theorem for designing of digital control system for a power converter." In 2017 IEEE First Ukraine Conference on Electrical and Computer Engineering (UKRCON). IEEE, 2017. http://dx.doi.org/10.1109/ukrcon.2017.8100305.

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