The generalized discrete fractional fourier transforms

作者: Soontorn Oraintara

DOI: 10.1109/ICASSP.2002.5744012

关键词:

摘要: In this paper, we develop the generalized discrete fractional Fourier transform (GDFRFT) by factorizing (GDFT) matrix. Specifically, eigenvalues and eigenvectors are presented then used to define GDFRFT. It is shown that GDFRFT may be obtained simple similarity transformations of conventional DFRFT if time frequency shifting indexes integers. Fast efficient structures integer also discussed.

参考文章(14)
E. V. Labunets, V. G. Labunets, Fast fractional fourier transform european signal processing conference. pp. 1- 4 ,(1998)
S. Oraintara, Ying-Jui Chen, T. Nguyen, Integer fast Fourier transform (INTFFT) international conference on acoustics, speech, and signal processing. ,vol. 6, pp. 3485- 3488 ,(2001) , 10.1109/ICASSP.2001.940592
Haldun M Ozaktas, M Alper Kutay, None, The fractional fourier transform 2001 European Control Conference (ECC). pp. 1477- 1483 ,(2001) , 10.23919/ECC.2001.7076127
B. Santhanam, J.H. McClellan, The DRFT-a rotation in time-frequency space international conference on acoustics, speech, and signal processing. ,vol. 2, pp. 921- 924 ,(1995) , 10.1109/ICASSP.1995.480325
Soo-Chang Pei, Chien-Cheng Tseng, Min-Hung Yeh, Jong-Jy Shyu, Discrete fractional Hartley and Fourier transforms IEEE Transactions on Circuits and Systems Ii: Analog and Digital Signal Processing. ,vol. 45, pp. 665- 675 ,(1998) , 10.1109/82.686685
Ingrid Daubechies, Wim Sweldens, Factoring wavelet transforms into lifting steps Journal of Fourier Analysis and Applications. ,vol. 4, pp. 131- 157 ,(1998) , 10.1007/BFB0011095
S. Oraintara, Y.J. Chen, T.Q. Nguyen, Integer fast Fourier transform IEEE Transactions on Signal Processing. ,vol. 50, pp. 607- 618 ,(2002) , 10.1109/78.984749
J. McClellan, T. Parks, Eigenvalue and eigenvector decomposition of the discrete Fourier transform IEEE Transactions on Audio and Electroacoustics. ,vol. 20, pp. 66- 74 ,(1972) , 10.1109/TAU.1972.1162342
L.B. Almeida, The fractional Fourier transform and time-frequency representations IEEE Transactions on Signal Processing. ,vol. 42, pp. 3084- 3091 ,(1994) , 10.1109/78.330368