Abstract

A sampling expansion involving the samples of a function represented by a finite Hankel transform and the samples of the derivative of the function is derived. Also, the general procedure for obtaining sampling expansions with derivatives for functions represented by other finite integral transforms is outlined. It is shown that in parallel to the known special case of the finite Fourier transform that the advantage of sampling with N derivatives is to increase by $(N + 1)$-fold the asymptotic spacing between the sampling points. The importance of such an advantage for the Hankel transform can be realized in a time-varying or spatial-varying system.Finally, an extension to two dimensions of the sampling theorem with N derivatives for a function having a finite double Fourier transform is stated.

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 call

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.