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2-D affine generalized fractional Fourier transform

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2 Author(s)
Jian-Jiun Ding ; Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan ; Soo-Chang Pei

The 2-D Fourier transform has been generalized into the 2-D separable fractional Fourier transform (replaces the 1-D Fourier transform by the l-D fractional Fourier transform for each variable) and the 2-D separable canonical transform (further replaces the fractional Fourier transform by canonical transform) of Sahin, Ozaktas and Mendlovic (see Appl. Opt., vol.37, no.11, p.2130-41, 1998). It also has been generalized into the 2-D unseparable fractional Fourier transform with 4 parameters of Sahin et al. (see Appl. Opt., vol.37, no.23, p.5444-53, 1998). In this paper, we introduce the 2-D affine generalized fractional Fourier transform (AGFFT). These 2-D transforms has been further generalized. We show it can deal with many problems that can not be dealt with by these 2-D transforms and extend their utility

Published in:

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on  (Volume:6 )

Date of Conference:

15-19 Mar 1999