Method for defining a class of fractional operations

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 simp...

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Bibliographic Details
Published in:IEEE transactions on signal processing 1998-10, Vol.46 (10), p.2804-2807
Main Authors: Kraniauskas, P., Cariolaro, G., Erseghe, T.
Format: Article
Language:English
Subjects:
Applied sciences
Chirp
Convolution
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Fourier transforms
Frequency
Information, signal and communications theory
Inspection
Signal and communications theory
Signal, noise
Telecommunications and information theory
Writing
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Summary: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.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.720382