Erratum to "Octonian Fourier Transform of real-valued functions of three variables - selected properties and examples" [Signal Process. 136 (2017) 29-37]

Łukasz Błaszczyk , Kajetana M. Snopek


An error has been discovered in Section 6.2 of the article mentioned in title of this paper (one statement is true in some special cases but not in general). Fortunately, this error affects only Section 6.2 and 6.3 (which are last two short sections of this article, excluding conclusions and final remarks) and has no effect on previous sections. We were able to find a correct solution and can provide a detailed discussion considering the notion of the autocorrelation function and the energy spectral density (which was misstated in the article as the power spectral density).
Author Łukasz Błaszczyk (FMIS / DCSDCAM)
Łukasz Błaszczyk,,
- Department of CAD/CAM Systems Design and Computer-Aided Medicine
, Kajetana M. Snopek (FEIT / IRMT)
Kajetana M. Snopek,,
- The Institute of Radioelectronics and Multimedia Technology
Journal seriesSignal Processing, ISSN 0165-1684, (A 35 pkt)
Issue year2018
Publication size in sheets0.3
Keywords in Polishoktoniony, oktonionowa transformacja Fouriera, Twierdzenie Wienera-Chinczyna
Keywords in Englishoctonions, Octonion Fourier Transform, Wiener-Khintchine Theorem
ASJC Classification2208 Electrical and Electronic Engineering; 1707 Computer Vision and Pattern Recognition; 1711 Signal Processing; 1712 Software; 2207 Control and Systems Engineering
Abstract in PolishJedno z twierdzeń w artykule wspomnianym w tytule pracy jest prawdziwe jedynie w kilku szczególnych przypadkach, a nie w przypadku ogólnym. W tej pracy prezentujemy poprawne rozwiązanie tego problemu i szczegółowe rozważania na temat funkcji autokorelacji oraz widma gęstości energii sygnałów (funkcji) trzech zmiennych. Dowodzimy Twierdzenie Wienera-Chinczyna, które jest jednym z centralnych twierdzeń w teorii sygnałów.
ProjectModern methods of analysis and designing of units and radioelectronic systems for medical electronics and measurement systems. Project leader: Winiecki Wiesław, , start date 31-05-2017, end date 31-10-2018, IRiTM/2018/stat/1, Completed
WEiTI Działalność statutowa
Languageen angielski
LicenseJournal (articles only); author's original; Uznanie Autorstwa (CC-BY); after publication
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 35.0, 16-12-2019, ArticleFromJournal
Publication indicators WoS Citations = 0; Scopus Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2016 = 1.905; WoS Impact Factor: 2018 = 4.086 (2) - 2018=3.653 (5)
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