Abstract
The quaternion linear canonical transform has been proved a powerful tool in signal processing and optics. There are many related research work about quaternion linear canonical transform but theories about one-dimensional quaternion linear canonical transform still needs to be studied. In the present paper, we define quaternionic linear canonical transform of integrable (and square integrable) functions on R. It is also shown that it satisfies all the respective properties like inversion formula, linearity, convolution theorem, Parseval’s identity and the product theorem.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.