Fractional order model of measured quantity errors

• Autorzy: Cioć R. , Chrzan M.

Identyfikatory

DOI

10.24425/bpasts.2019.130887

• Języki publikacji: EN

Abstrakty

EN

The paper presents an interpretation of fractional calculus for positive and negative orders of functions based on sampled measured quantities and their errors connected with digital signal processing. The derivatives as a function limit and the Grunwald-Letnikov differintegral are shown in chapter 1 due to the similarity of the presented definition. Notation of fractional calculus based on the gradient vector of measured quantities and its geometrical and physical interpretation of positive and negative orders are shown in chapter 2 and 3.

Słowa kluczowe

EN

fractional calculus; data processing; measured quantities errors; jitter

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2019
• Tom: Vol. 67, nr 6
• Strony: 1023--1030
• Opis fizyczny: Bibliogr. 26 poz., rys.

Twórcy

autor

Cioć R.

• University of Technology and Humanities in Radom, ul. Malczewskiego 29, 26-600 Radom, Poland

autor

Chrzan M.

• University of Technology and Humanities in Radom, ul. Malczewskiego 29, 26-600 Radom, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).