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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F22%3A00009503" target="_blank" >RIV/46747885:24220/22:00009503 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/chapter/10.1007/978-981-16-8759-4_20" target="_blank" >https://link.springer.com/chapter/10.1007/978-981-16-8759-4_20</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-981-16-8759-4_20" target="_blank" >10.1007/978-981-16-8759-4_20</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

It is well known that analog-to-digital conversion contains several error components (uncertainties). The error generated by time quantization, according to the theory, can be completely eliminated by observing the Nyquist relation between the upper limit of the signal converted spectrum and the conversion frequency. In practice, when recovering a signal from the results of its transformation, we do not use procedures of optimal recovery such as principle of maximum likelihood. This signal has a limited duration and therefore its spectrum is not formally limited. In this paper, the study of the actual dependence of the conversion error on the sampling frequency is carried out by a numerical simulation. In this case, the error of delay is excluded because it cannot be avoided. Our numerical simulation shows that if we do not take into account the effect of the delay, then the error generated by an insufficiently high ratio between the conversion frequency and the maximum frequency in the converted signal differs by 20 or more times from the Nyquist (Nyquist–Shannon) frequency. The results of the study allow calculating the minimum multiplication factor to the Nyquist frequency, which corresponds to the required conversion accuracy.

Název v anglickém jazyce

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

Popis výsledku anglicky

It is well known that analog-to-digital conversion contains several error components (uncertainties). The error generated by time quantization, according to the theory, can be completely eliminated by observing the Nyquist relation between the upper limit of the signal converted spectrum and the conversion frequency. In practice, when recovering a signal from the results of its transformation, we do not use procedures of optimal recovery such as principle of maximum likelihood. This signal has a limited duration and therefore its spectrum is not formally limited. In this paper, the study of the actual dependence of the conversion error on the sampling frequency is carried out by a numerical simulation. In this case, the error of delay is excluded because it cannot be avoided. Our numerical simulation shows that if we do not take into account the effect of the delay, then the error generated by an insufficiently high ratio between the conversion frequency and the maximum frequency in the converted signal differs by 20 or more times from the Nyquist (Nyquist–Shannon) frequency. The results of the study allow calculating the minimum multiplication factor to the Nyquist frequency, which corresponds to the required conversion accuracy.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Smart Innovation, Systems and Technologies

ISBN

978-981-16-8758-7

ISSN

2190-3018

e-ISSN

—

Počet stran výsledku

10

Strana od-do

183-192

Název nakladatele

Springer Nature

Místo vydání

Singapore

Místo konání akce

Vladivostok

Datum konání akce

1. 1. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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