Quaternion Function Reference
fft
Fast Fourier transform
(Quaternion overloading of standard MATLAB® function)
Syntax
Y = fft(X)
Description
fft(X) computes the Fast Fourier Transform of the quaternion
vector X using a default axis and left-handed transform. See
the related function qfft which permits control over the axis
and handedness.
The axis chosen is a complex (biquaternion) axis if X is
complex, otherwise the axis is a (real) quaternion.
The N and dim parameters of the overloaded
MATLAB® function are not yet implemented, but may be implemented at a
later date.
See Also
MATLAB® function: fft
QTFM functions: fft2, ifft, qfft
References
- Ell, T. A. and Sangwine, S. J.,
'Hypercomplex Fourier Transforms of Color Images',
IEEE Transactions on Image Processing, 16,
(1), January 2007, 22-35.
DOI: 10.1109/TIP.2006.884955.
- Salem Said, Nicolas Le Bihan, and Stephen J. Sangwine,
'Fast complexified quaternion Fourier transform',
IEEE Transactions on Signal Processing, 56,
(4), April 2008, 1522-1531.
DOI: 10.1109/TSP.2007.910477.
© 2008-2013 Stephen J. Sangwine and Nicolas Le Bihan
License terms.