Error Model of the Measurement Chain Containing the Discrete Wavelet Transform Algorithm

Marian Kampik; Jerzy Roj; Łukasz Dróżdż

doi:10.20944/preprints202404.0081.v1

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preprints.org > computer science and mathematics > signal processing > doi: 10.20944/preprints202404.0081.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Error Model of the Measurement Chain Containing the Discrete Wavelet Transform Algorithm

Marian Kampik

Jerzy Roj

Łukasz Dróżdż

Version 1 : Received: 30 March 2024 / Approved: 1 April 2024 / Online: 2 April 2024 (02:27:20 CEST)

A peer-reviewed article of this Preprint also exists.

Kampik, M.; Roj, J.; Dróżdż, Ł. Error Model of a Measurement Chain Containing the Discrete Wavelet Transform Algorithm. Appl. Sci. 2024, 14, 3461. Kampik, M.; Roj, J.; Dróżdż, Ł. Error Model of a Measurement Chain Containing the Discrete Wavelet Transform Algorithm. Appl. Sci. 2024, 14, 3461.

Abstract

The paper presents an error model of a measurement chain containing link performing discrete wavelet transform algorithm which is most often the last stage of measurement signal processing. The goal is to determine the uncertainty budget of the input quantities of the wavelet transform algorithm. The error model takes into account parts of analog, analog-to-digital and digital processing, describing the properties of subsequent fragments of the chain using their transmittance and processing functions. The proposed model enables the description of both deterministic and non-deterministic properties of signal errors. The proposed model was validated using an example measurement chain created for this purpose.

Keywords

measurement chain error model; uncertainty estimation; discrete wavelet transform

Subject

Computer Science and Mathematics, Signal Processing

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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