DocumentCode
1258240
Title
A Class of Scaled Bessel Sampling Theorems
Author
Knockaert, Luc
Author_Institution
INTEC-IBCN-IBBT, Ghent Univ., Ghent, Belgium
Volume
59
Issue
10
fYear
2011
Firstpage
5082
Lastpage
5086
Abstract
Sampling theorems for a class of scaled Bessel unitary transforms are presented. The derivations are based on the properties of the generalized Laguerre functions. This class of scaled Bessel unitary transforms includes the classical sine and cosine transforms, but also novel chirp sine and modified Hankel transforms. The results for the sine and cosine transform can also be utilized to yield a sampling theorem, different from Shannon´s, for the Fourier transform.
Keywords
Bessel functions; Hankel transforms; discrete cosine transforms; signal sampling; stochastic processes; Bessel unitary transform; Hankel transforms; Laguerre functions; chirp transforms; cosine transforms; sampling theorem; sine transforms; Chirp; Finite wordlength effects; Fourier transforms; Kernel; Materials; Bessel functions; Hankel transform; chirp transform; sampling theorems;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/TSP.2011.2160634
Filename
5930377
Link To Document