Open AccessOn One-Dimensional Quaternion Fourier Transform
Author(s) -
Mawardi Bahri,
Syamsuddin Toaha,
Amran Rahim,
Moh. Ivan Azis
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1341/6/062004
Subject(s) - quaternion , fourier transform , fourier inversion theorem , convolution (computer science) , mathematics , discrete time fourier transform , transformation (genetics) , convolution theorem , fractional fourier transform , discrete fourier transform (general) , fourier transform on finite groups , fourier analysis , algebra over a field , mathematical analysis , pure mathematics , computer science , geometry , artificial intelligence , biochemistry , chemistry , artificial neural network , gene
There have been several efforts in the literature to extend the traditional Fourier transformation by using the quaternion algebra. This paper presents the one-dimensional quaternion Fourier transform. We derive its properties which are the extensions of corresponding properties of the one-dimensional Fourier transformation. Finally, the convolution theorem related to the one-dimensional quaternion Fourier transform is discussed.