Angular decompositions for the discrete fractional signal transforms

Signal Processing

Volumn 85, Issue 3, 2005, Pages 537-547

  Yeh, Min Hung ^a  

^a NATIONAL ILAN UNIVERSITY   (Taiwan)

Author keywords

Angular decomposition; Discrete fractional Fourier transform; Discrete fractional signal transform

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; IMAGE COMPRESSION; PROBLEM SOLVING; QUANTUM THEORY; SPECTRUM ANALYSIS; VECTORS; WATERMARKING; WAVE FILTERS;

ANGULAR DECOMPOSITION; DISCRETE FRACTIONAL FOURIER TRANSFORMS; DISCRETE FRACTIONAL SIGNAL TRANSFORMS; FRACTIONAL FOURIER TRANSFORMS;

SIGNAL PROCESSING;

EID: 13444302708     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2004.11.001     Document Type: Article

References (32)

1. L.B. Almeida The fractional Fourier transform and time-frequency representation IEEE Trans. Signal Process. 42 1994 3084 3091
2. L. Barker, C. Candan, T. Hakioglu, M.A. Kutay, and H.M. Ozaktas The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform J. Phys. A Math. 33 2000 2209 2222
3. B. Barshan, and B. Ayrulu Fractional Fourier transform pre-processing for neural networks and its application to object recognition Neural Networks 15 2002 131 140
4. C. Candan, M.A. Kutay, and H.M. Ozaktas The discrete fractional Fourier transform IEEE Trans. Signal Process. 48 5 2000 1329 1337
5. F. Cariolaro, T. Erseghe, and P. Kraniauskas The fractional discrete cosine transform IEEE Trans. Signal Process. 50 4 2002 902 911
6. B.W. Dickinson, and K. Steiglitz Eigenvectors and functions of the discrete Fourier transform IEEE Trans. Acoust. Speech Signal Process. ASSP-30 1982 25 31
7. I. Djurovic, S. Stankovic, and I. Pitas Digital watermarking in the fractional Fourier transformation domain J. Network Comput. Appl. 24 2001 167 173
8. R.G. Dorsch, A.W. Lohmann, Y. Bitran, and D. Mendlovic Chirp filtering in the fractional Fourier domain Appl. Opt. 33 1994 7599 7602
9. D.F. Elliott, and K.R. Rao Fast Transforms - Algorithms, Analysis, Applications 1989 The Johns Hopkins University Press
10. A.K. Jain Fundamentals of Digital Image Processing 1989 Prentice-Hall International Inc. Englewood Cliffs, NJ
11. S. Jin, and S.Y. Lee Joint transform correlator with fractional Fourier transform Opt. Commun. 207 2002 161 168
12. M.A. Kutay, H.M. Ozaktas, O. Arikan, and L. Onural Optimal filtering in fractional Fourier domains IEEE Trans. Signal Process. 45 1997 1129 1143
13. A.W. Lohmann, D. Mendlovic, Z. Zalevsky, and R.G. Dorsch Some important fractional transforms for signal processing Opt. Commun. 126 1996 18 20
14. D.F. Marshall, W.K. Jenkins, and J.J. Murphy The use of orthogonal transforms for improving performance of adaptive filters IEEE Trans. Circuits Systems 36 1989 474 484
15. J.H. McClellan, and T.W. Parks Eigenvalue and eigenvector decomposition of the discrete Fourier transform IEEE Trans. Audio Electroacoust. AU-20 1972 66 74
16. A.V. Oppenheim Discrete-time Signal Processing 1989 Prentice-Hall International Inc. Englewood Cliffs, NJ
17. S. Oraintara, Y.J. Chen, and T. Nguyen Integer fast Fourier transform IEEE Trans. Signal Process. 50 3 2002 607 618
18. M.D. Ortigueira Introduction to fractional linear systems, part 2 Discrete-time case IEE Proc. Vision Image Signal Process. 147 1 2000 71 78
19. H.M. Ozaktas, O. Arikan, M.A. Kutay, and G. Bozdagi Digital computation of the fractional Fourier transform IEEE Trans. Signal Process. 44 1996 2141 2150
20. H.M. Ozaktas, Z. Zalevsky, and M.A. Kutay The Fractional Fourier Transform with Applications in Optics and Signal Processing 2000 Wiley New York
21. S.C. Pei, and J.J. Ding Closed-form discrete fractional and affine Fourier transforms IEEE Trans. Signal Process. 48 5 2000 1338 1353
22. S.C. Pei, C.C. Tseng, M.H. Yeh, and J.J. Shyu Discrete fractional Hartley and Fourier transforms IEEE Trans. Circuit System 45 Part II 1998 665 675
23. S.C. Pei, C.C. Tseng, M.H. Yeh, and J.J. Ding A new definition of continuous fractional Hartley transform Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, Seatle, Washington, USA 1998 1485 1488
24. S.C. Pei, and M.H. Yeh Improved discrete fractional Fourier transform Opt. Lett. 22 14 1997 1047 1049
25. S.C. Pei, M.H. Yeh, and C.C. Tseng Discrete fractional Fourier transform based on orthogonal projections IEEE Trans. Signal Process. 47 5 1999 1335 1348
26. S.C. Pei, and M.H. Yeh Discrete fractional Hadamard transform Proceedings of IEEE International Symposium on Circuits and Systems, Orlando, FL, USA 1999 179 182
27. S.C. Pei, and M.H. Yeh The discrete fractional cosine and sine transforms IEEE Trans. Signal Process. 49 6 2001 1198 1207
28. C.C. Tseng Eigenvalues and eigenvectors of generalized DFT, generalized DHT, DCT-IV and DST-IV matrices IEEE Trans. Signal Process. 50 4 2002 866 877
29. Z. Wang Fast algorithm for the discrete W transform and for the discrete Fourier transform IEEE Trans. Acoust. Speech Signal Process. Assp-32 4 1984 803 816
30. n Linear Algebra Appl. 45 1982 43 53
31. M.H. Yeh, and S.C. Pei A method for the discrete-time fractional Fourier transform computation IEEE Trans. Signal Process. 51 3 2003 889 891
32. I.S. Yetik, and A. Nehorai Beamforming using the fractional Fourier transform IEEE Trans. Signal Process. 51 6 2003 1663 1669