Method for defining a class of fractional operations
- 1 October 1998
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 46 (10), 2804-2807
- https://doi.org/10.1109/78.720382
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
This publication has 6 references indexed in Scilit:
- Unified fractional Fourier transform and sampling theoremIEEE Transactions on Signal Processing, 1999
- Optimal filtering in fractional Fourier domainsIEEE Transactions on Signal Processing, 1997
- Product and Convolution Theorems for the Fractional Fourier TransformIEEE Signal Processing Letters, 1997
- Fractional correlationApplied Optics, 1995
- Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transformsJournal of the Optical Society of America A, 1994
- Fractional Fourier transforms and their optical implementation: IJournal of the Optical Society of America A, 1993