Title :
The finite field fractional Fourier transform
Author :
Lima, Juliano B. ; de Souza, R.M.C.
Author_Institution :
Univ. of Pernambuco, Recife, Brazil
Abstract :
In this paper, a finite field version for the fractional Fourier transform is introduced. We show that, in some aspects, the finite field fractional Fourier transform (4FT) is in perfect analogy with the discrete fractional Fourier transform. On the other hand, we consider some definitions and properties from the finite field context which allow us to discuss particularities of the 4FT.
Keywords :
discrete Fourier transforms; 4FT particularity; discrete fractional Fourier transform; finite field fractional Fourier transform; Cryptography; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Galois fields; Image sampling; Optical sensors; Optical signal processing; Signal sampling; Stimulated emission; Fractional Fourier transform; eigenstructure; finite fields;
Conference_Titel :
Acoustics Speech and Signal Processing (ICASSP), 2010 IEEE International Conference on
Conference_Location :
Dallas, TX
Print_ISBN :
978-1-4244-4295-9
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2010.5495888
