Abstract
The fractional Fourier transform (FRFT) which is a generalization of the Fourier transform (FT) has been shown to be a powerful analyzing tool in signal processing. Many properties of the FT including the generalized sampling theorem have been extended to the FRFT. However, the existing extensions of the classical generalized sampling theorem for the FRFT are derived from the lowpass signal viewpoint, and the implementation of those extensions is inefficient for the effect of spectral leakage. In this paper, we propose a new generalized sampling theorem associated with the FRFT from the fractional bandpass signal viewpoint. The proposed theorem which is constructed by the ordinary convolution in the time domain can overcome the effect of spectral leakage and is easy to implement in practical applications.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
