Abstract
Sampling theories associated with the fractional Fourier transform (FrFT) have blossomed in recent years. However, the majority of the existing sampling models in shift-invariant spaces are constructed using a single generator, which may be inefficient for some mixed signals. In this paper, we first develop a theory for generalized shift-invariant and sampling spaces associated with the FrFT. The conditions and related proof for forming a Riesz basis using the proposed theory are provided. Based on the proposed theory, non-ideal sampling frameworks are constructed using a single generator and multi generators. Furthermore, considering that the non-ideal sampling schemes contain many chirp signal modulators that would increase the hardware complexity and energy consumption, the simplified non-ideal sampling models are also shown in this paper. Finally, the numerical results validate the theoretical derivations.
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.
