Relationship between quaternion linear canonical and quaternion fourier transforms

Author

Bahri, M. ; Ashino, Ryuichi

Author_Institution

Dept. of Math., Hasanuddin Univ., Hasanuddin, Indonesia

fYear

2014

fDate

13-16 July 2014

Firstpage

116

Lastpage

121

Abstract

We briefly introduce the quaternion linear canonical transform (QLCT), which is a generalization of the quaternion Fourier transform (QFT) to the linear canonical transform (LCT) domain. We show that the QLCT can be reduced to the quaternion Fourier transform (QFT). We then derive the inverse transform of the QLCT using the properties of the QFT. We finally provide an example which describes the relationship between the QFT and the QLCT.

Keywords

Fourier transforms; inverse transforms; signal processing; QFT; QLCT; inverse transform; quaternion Fourier transforms; quaternion linear canonical transform; signal processing; Convolution; Fourier transforms; Pattern recognition; Quaternions; Vectors; Wavelet analysis; Linear canonical transform; Quaternion Fourier transform;

fLanguage

English

Publisher

ieee

Conference_Titel

Wavelet Analysis and Pattern Recognition (ICWAPR), 2014 International Conference on

Conference_Location

Lanzhou

ISSN

2158-5695

Print_ISBN

978-1-4799-4212-1

Type

conf

DOI

10.1109/ICWAPR.2014.6961301

Filename

6961301

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=158205