On the grunbaum commutor based discrete fractional fourier transform

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn 2, Issue , 2004, Pages

  Santhanam, Balu ^a   Vargas Rubio, Juan G ^a  

^a MSC01 1070   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE FRACTIONAL FOURIER TRANSFORMS (DFRFT); LINEAR CHIRP SIGNALS;

EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; FUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; SET THEORY;

SIGNAL PROCESSING;

EID: 4644338766     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. N. M. Atakishiev and K. B. Wolf, "Fractional Fourier-Kravchuk Transform," Journal Opt. Soc. of Amer., Vol. 14, no. 7, pp. 1467-1477, 1997.
2. B. W. Dickinson and K. Steiglitz, "Eigenvalues and Eigenvectors of the Discrete Fourier Transform," IEEE Trans. ASSP, Vol. 30, no. 1, Feb 1982.
3. B. Santhanam and J. H. McClellan, "The Discrete Rotational Fourier Transform," IEEE Trans. Sig. Process., Vol. 44, no. 4, pp. 994-998, 1996.
4. L. B. Almeida, "The Fractional Fourier Transform and Time-Frequency Representations," IEEE Trans. Sig. Process., Vol. 42, no. 11, pp. 3084-3091, 1994.
5. S. Clary and D. H. Mugler, "Shifted Fourier Matrices and Their Tridiagonal Commutors," SIAM Jour. Matr. Anal. & Appl., Vol. 24, no. 3, pp. 809-821, 2003.
6. J. H. McClellan and T. W. Parks, "Eigenvalues and Eigenvectors of the Discrete Fourier Transformation," IEEE Trans. Audio and Electroacoustics, Vol. 20, no. 1, March 1972.
7. H. M. Ozatkas, O. Arikan, M. A. Kutay, G. Bozdagi, "Digital Computation of the Fractional Fourier Transformation," IEEE Trans. Sig. Process., Vol. 44, no. 9, pp. 2141-2150, 1996.
8. F. A. Grunbaum, "The Eigenvectors of the Discrete Fourier Transform," Jour. Math. Analy. & Appl., Vol. 88, no. 2, pp. 355-363, 1982.
9. X. -Gen. Xia, "Discrete Chirp Fourier Transform and Its Application to Chirp Estimation," IEEE Trans. Sig. Process., Vol. 48, no. 11, pp. 3122-3133, 2000.
10. C. Candan, M. A. Kutay, H. M. Ozatkas, "The Discrete Fractional Fourier Transform," IEEE Trans. Sig. Process. , Vol. 48, no. 5, pp. 1329-1337, 2000.