TEOREMA KONVOLUSI PADA TRANSFORMASI FOURIER FRAKSIONAL QUATERNION SISI KIRI DAN SIFAT-SIFATNYA

Autor:	N H Wibowo, S Musdalifah, Resnawati Resnawati
Rok vydání:	2019
Předmět:	Pure mathematics symbols.namesake Fourier transform Quaternion algebra Frequency domain Scalar (mathematics) symbols Linearity Convolution theorem Quaternion Fractional Fourier transform Mathematics
Zdroj:	JURNAL ILMIAH MATEMATIKA DAN TERAPAN. 16:1-12
ISSN:	2540-766X 1829-8133
DOI:	10.22487/2540766x.2019.v16.i1.12732
Popis:	Fourier transform (FT) is growing very rapidly and applying in various fields such as analyzing and decomposing signals in the frequency domain. FT has been extended to quaternion algebra known as the Quaternion Fourier Transform (QFT). The purpose of this paper are to formulate the definition and properties of the left sided Quaternion Fractional Fourier Transform (QFFT), to formulate the definition and convolution theorem for left sided QFFT. Firstly, the results showed the formulation of the left sided QFFT definition and some of the properties such as linearity, translation, modulation and scalar. Secondly, its showed the formulation of convolution theorem for left sided QFFT and also the left sided QFFT of conjugate and translation convolution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7e1938339b2d6abd3705bb46c0c54bad https://doi.org/10.22487/2540766x.2019.v16.i1.12732 Zobrazit plný text záznamu