DFRACFT - Discrete Fractional Fourier transform

Usage

V=dfracft(f,a,p);
V=dfracft(f,a);

Description

dfracft(f,a) computes the discrete fractional Fourier Transform of the signal f to the power a. For a=1 it corresponds to the ordinary discrete Fourier Transform. If f is multi-dimensional, the transformation is applied along the first non-singleton dimension.

dfracft(f,a,dim) does the same along dimension dim.

dfracft(f,a,[],p) or dfracft(f,a,dim,p) allows to choose the order of approximation of the second difference operator (default: p=2).

References:

A. Bultheel and S. Martínez. Computation of the Fractional Fourier Transform. Appl. Comput. Harmon. Anal., 16(3):182--202, 2004.

H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay. The Fractional Fourier Transform. John Wiley and Sons, 2001.