Title :
Method for defining a class of fractional operations
Author :
Kraniauskas, Peter ; Cariolaro, Gianfranco ; Erseghe, Tomaso
Author_Institution :
Southampton, UK
fDate :
10/1/1998 12:00:00 AM
Abstract :
The fractional Fourier transform (FRT) permits a variety of associated fractional operations. This correspondence proposes a systematic method, based on the structure of the FRT, which not only provides unambiguous extensions of ordinary operations but permits writing the applicable expressions simply by inspection. The approach also exposes the possible paths for implementing such operations
Keywords :
Fourier transforms; convolution; filtering theory; fractional Fourier transform; fractional convolution theorem; fractional operations; systematic method; Chirp; Convolution; Fourier transforms; Frequency; Inspection; Writing;
Journal_Title :
Signal Processing, IEEE Transactions on
