DocumentCode
1271019
Title
Unified fractional Fourier transform and sampling theorem
Author
Erseghe, Tomaso ; Kraniauskas, Peter ; Carioraro, G.
Author_Institution
Snell & Wilcox, Petersfield, UK
Volume
47
Issue
12
fYear
1999
fDate
12/1/1999 12:00:00 AM
Firstpage
3419
Lastpage
3423
Abstract
The fractional Fourier transform (FRT) is an extension of the ordinary Fourier transform (FT). Applying the language of the unified FT, we develop FRT expressions for discrete and continuous signals, introducing a particular form of periodicity: chirp-periodicity. The FRT sampling theorem is derived as an extension of its ordinary counterpart
Keywords
Fourier transforms; discrete Fourier transforms; signal sampling; chirp-periodicity; continuous signals; discrete signals; fractional Fourier transform; periodicity; sampling theorem; Amplitude modulation; Chirp modulation; Digital signal processing; Discrete Fourier transforms; Fourier transforms; Kernel; Optical fibers; Optical signal processing; Sampling methods; Signal sampling;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.806089
Filename
806089
Link To Document