Why the using of Nyquist-Shannon-Kotelnikov sampling theorem in real-time systems is not correct?

Troyanovskyi, Vladimir M.; Koldaev, Victor D.; Zapevalina, A. A.; Serduk, Olga A.; Vasilchuk, Kseniia S.

doi:10.1109/eiconrus.2017.7910736

Cited by 8 publications

(9 citation statements)

References 4 publications

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“…The rapid operation of the ADC is determined by the discretization frequency f d . According to the Shannon-Nyquist theorem, any function consisting of frequencies from 0 to f can be restored [13], if the following condition is met:…”

Section: Basic Measurement Circuits In Eit and The Principles Of Theimentioning

confidence: 99%

“…As it is known [14], the simplest equivalent electrical circuit for substitution of a biological object can be presented as a section of an electrical circuit consisting of two elements: active resistance RE and capacity CE connected in parallel (Fig. 11).…”

Section: Development Of the Switching Circuit Its Operation Principlmentioning

confidence: 99%

“…For such an equivalent circuit with the parallel connection of the elements, impedance Z can be determined from the following expression [14]: X is the resistance of electric capacity to AC:…”

Section: Development Of the Switching Circuit Its Operation Principlmentioning

confidence: 99%

See 2 more Smart Citations

Development of switching and measurement circuits for problems of electric impedance tomography

Kucher

Narakidze

Tjaglicova

et al. 2020

EEJET

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This study solves the relevant problem of selecting an optimal switching and measurement circuit for the problems of reconstruction of the field of change in the conductivity in a biological object. Based on an analysis of publications in the area of construction of the hardware part of the EIT devices, the main types of the systems were identified: sequential, parallel, and mixed. Because of the low cost, sequential architecture became most common. Due to the low level of a useful signal in the study of lung ventilation, the differential measurement circuit, which enables amplification of a difference signal, is considered optimal. A difference signal changes significantly as it moves away from injecting electrodes, so the optimal use of the analog-to-digital converter scale requires a change in the amplification coefficient during the collection of measurement information. A measurement circuit with an adaptive amplification coefficient was proposed. The optimal amplification coefficient is determined by the results of test measurements. A block diagram for the implementation of the proposed algorithm was developed. A circuit for switching the injecting and measuring electrodes, allowing the injection and measurement between any pair of electrodes, was proposed. Theoretical analysis of the impact of switch parameters was carried out. The analysis revealed that the main parameters influencing the metrological characteristics are the resistance of the open channel and its spread. As a result of mathematical modeling of the circuit of substitution of injection and measurement channels, it was determined that channel resistance and its spread for typical switches results in a relative error in measurements of potentials of no more than 0.

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Section: Basic Measurement Circuits In Eit and The Principles Of Theimentioning

confidence: 99%

Section: Development Of the Switching Circuit Its Operation Principlmentioning

confidence: 99%

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Development of switching and measurement circuits for problems of electric impedance tomography

Kucher

Narakidze

Tjaglicova

et al. 2020

EEJET

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“…If the encoders used in the master device and corresponding encoders of the manipulator are identical, the angles , = 1. . 7 ̅̅̅̅̅ , can be represented directly in the code used by the encoders to reduce the delays and computational costs associated with converting the data into an intermediate format.…”

Section: A the Task Statementmentioning

confidence: 99%

“…However, the application of this theorem in the field of teleoperation is limited by the fact that to restore the value of the signal level at the current time, it is necessary to have information not only about the previous discrete time ticks, but also about the subsequent ticks. This limitation contradicts the requirement of providing a minimum delay and the principles of real-time systems functioning as a whole [7].…”

Section: Introductionmentioning

confidence: 97%

The Study of the Problems of the Master-Slave Teleoperation Control Anthropomorphic Manipulator

Петренко¹,

Тебуева²,

Gurchinsky³

et al. 2019

Proceedings of the 7th Scientific Conference on Information Technologies for Intelligent Decision Making Support (ITIDS 2019)

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This article describes the problems of anthropomorphic manipulators (AM) master-slave teleoperation control. The aim of the work is to study the problems of the teleoperation control accuracy. The scheme of copying control system is considered in the article. The most characteristic problems for this control method are allocated. The discretization and restoring of the signal examples describing the rotation angle dependence of the manipulator joint on time are made. Real-time smoothing methods based on the calculation of the speed and acceleration of the signal change, as well as smoothing by piecewise linear interpolation with a delay of one discrete time tick are applied to the restored signal. For the restored signals with smoothing and without smoothing, the root mean square of deviation from the initial signal is estimated.

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Investigation of the Dependence of the ADC Error on the Conversion Frequency: Recommendations for Choosing a Multiplier for the Nyquist Frequency

Zhmud

Nosek

Dimitrov

et al. 2022

SMART Automatics and Energy

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Why the using of Nyquist-Shannon-Kotelnikov sampling theorem in real-time systems is not correct?

Cited by 8 publications

References 4 publications

Development of switching and measurement circuits for problems of electric impedance tomography

Development of switching and measurement circuits for problems of electric impedance tomography

The Study of the Problems of the Master-Slave Teleoperation Control Anthropomorphic Manipulator

Investigation of the Dependence of the ADC Error on the Conversion Frequency: Recommendations for Choosing a Multiplier for the Nyquist Frequency

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