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

  1. 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.
  2. 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.