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 derivative as a function limit and the Grünwald-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 chapters 2 and 3.

JO - Bulletin of the Polish Academy of Sciences: Technical Sciences L1 - http://so.czasopisma.pan.pl/Content/114312/PDF/04_1023-1030_01087_Bpast.No.67-6_13.01.20_K2_TeX.pdf L2 - http://so.czasopisma.pan.pl/Content/114312 PY - 2019 IS - No. 6 EP - 1030 KW - fractional calculus KW - data processing KW - measured quantities errors KW - jitter A1 - Cioć, R. A1 - Chrzan, M. VL - 67 JF - Bulletin of the Polish Academy of Sciences: Technical Sciences SP - 1023 T1 - Fractional order model of measured quantity errors DA - 31.12.2019 UR - http://so.czasopisma.pan.pl/dlibra/docmetadata?id=114312 DOI - 10.24425/bpasts.2019.130887 ER -