Further Discussion on Modeling of Measuring Process via Sampling of Signals

In this paper, we continue a topic of modeling measuring processes by perceiving them as a kind of signal sampling. And, in this respect, note that an ideal model was developed in a previous work. Whereas here, we present its nonideal version. This extended model takes into account an effect, which...

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Main Author: Andrzej Borys
Format: Article
Language:English
Published: Polish Academy of Sciences 2020-09-01
Series:International Journal of Electronics and Telecommunications
Subjects:
Online Access:https://journals.pan.pl/Content/117101/PDF/70_2407_Borys_skl_new.pdf
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author Andrzej Borys
author_facet Andrzej Borys
author_sort Andrzej Borys
collection DOAJ
description In this paper, we continue a topic of modeling measuring processes by perceiving them as a kind of signal sampling. And, in this respect, note that an ideal model was developed in a previous work. Whereas here, we present its nonideal version. This extended model takes into account an effect, which is called averaging of a measured signal. And, we show here that it is similar to smearing of signal samples arising in nonideal signal sampling. Furthermore, we demonstrate in this paper that signal averaging and signal smearing mean principally the same, under the conditions given. So, they can be modeled in the same way. A thorough analysis of errors related to the signal averaging in a measuring process is given and illustrated with equivalent schemes of the relationships derived. Furthermore, the results obtained are compared with the corresponding ones that were achieved analyzing amplitude quantization effects of sampled signals used in digital techniques. Also, we show here that modeling of errors related to signal averaging through the so-called quantization noise, assumed to be a uniform distributed random signal, is rather a bad choice. In this paper, an upper bound for the above error is derived. Moreover, conditions for occurrence of hidden aliasing effects in a measured signal are given.
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spelling doaj.art-50b9e5f91f2f43f48a0f3a9029b383e12022-12-22T01:40:34ZengPolish Academy of SciencesInternational Journal of Electronics and Telecommunications2081-84912300-19332020-09-01vol. 66No 3507513https://doi.org/10.24425/ijet.2020.134006Further Discussion on Modeling of Measuring Process via Sampling of SignalsAndrzej BorysIn this paper, we continue a topic of modeling measuring processes by perceiving them as a kind of signal sampling. And, in this respect, note that an ideal model was developed in a previous work. Whereas here, we present its nonideal version. This extended model takes into account an effect, which is called averaging of a measured signal. And, we show here that it is similar to smearing of signal samples arising in nonideal signal sampling. Furthermore, we demonstrate in this paper that signal averaging and signal smearing mean principally the same, under the conditions given. So, they can be modeled in the same way. A thorough analysis of errors related to the signal averaging in a measuring process is given and illustrated with equivalent schemes of the relationships derived. Furthermore, the results obtained are compared with the corresponding ones that were achieved analyzing amplitude quantization effects of sampled signals used in digital techniques. Also, we show here that modeling of errors related to signal averaging through the so-called quantization noise, assumed to be a uniform distributed random signal, is rather a bad choice. In this paper, an upper bound for the above error is derived. Moreover, conditions for occurrence of hidden aliasing effects in a measured signal are given.https://journals.pan.pl/Content/117101/PDF/70_2407_Borys_skl_new.pdfmeasuring processsampling of signalssmearing and averaging of signal samples
spellingShingle Andrzej Borys
Further Discussion on Modeling of Measuring Process via Sampling of Signals
International Journal of Electronics and Telecommunications
measuring process
sampling of signals
smearing and averaging of signal samples
title Further Discussion on Modeling of Measuring Process via Sampling of Signals
title_full Further Discussion on Modeling of Measuring Process via Sampling of Signals
title_fullStr Further Discussion on Modeling of Measuring Process via Sampling of Signals
title_full_unstemmed Further Discussion on Modeling of Measuring Process via Sampling of Signals
title_short Further Discussion on Modeling of Measuring Process via Sampling of Signals
title_sort further discussion on modeling of measuring process via sampling of signals
topic measuring process
sampling of signals
smearing and averaging of signal samples
url https://journals.pan.pl/Content/117101/PDF/70_2407_Borys_skl_new.pdf
work_keys_str_mv AT andrzejborys furtherdiscussiononmodelingofmeasuringprocessviasamplingofsignals