Estimation of the Resultant Expanded Uncertainty of the Output Quantities of the Measurement Chain Using the Discrete Wavelet Transform Algorithm

Author:

Kampik Marian1ORCID,Roj Jerzy1ORCID,Dróżdż Łukasz1ORCID

Affiliation:

1. Department of Measurement Science, Electronics and Control, Silesian University of Technology, ul. Akademicka 10, 44-100 Gliwice, Poland

Abstract

This paper discusses the role of the discrete wavelet transform algorithm in processing error signals present in the input quantities of the algorithm. In considering the error model of the measurement chain, the parameters of the error signals in the input quantities of the wavelet transform algorithm are estimated. Subsequently, in accounting for the algorithm’s properties, the parameters of its output values are determined, and the resulting uncertainty values of the output quantities of the measurement chain are estimated. The interval reduction arithmetic method is employed in the calculations for estimating the expanded uncertainty. All findings were validated through measurements conducted using the implemented measurement chain.

Funder

Polish National Science Centre

Rector of Silesian University of Technology

Publisher

MDPI AG

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4. Akujuobi, C.M. (2022). Wavelets and Wavelet Transform Systems and Their Applications, Springer.

5. Addison, P.S. (2017). The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance, CRC Press. [2nd ed.].

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