On scaling properties of fractional Fourier transform and its relation with other transforms

Optics Communications

Volumn 257, Issue 1, 2006, Pages 27-38

  Sharma, K K ^a   Joshi, S D ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Chirp z transform; Fractional Fourier transform; Fractional Mellin transform; Sampling theorems

Indexed keywords

OPTICAL COMMUNICATION; SAMPLING; SIGNAL PROCESSING; THEOREM PROVING;

CHIRP-Z TRANSFORM; FRACTIONAL FOURIER TRANSFORM; FRACTIONAL MELLIN TRANSFORM; SAMPLING THEOREMS;

FOURIER TRANSFORMS;

EID: 28044455415     PISSN: 00304018     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.optcom.2005.07.013     Document Type: Article

References (20)

1. H.M. Ozaktas, Z. Zalevsky, and M.A. Kutay The Fractional Fourier Transform with Applications in Optics and Signal Processing 2001 Wiley Chichester
2. L. Cohen IEEE Trans. Sig. Proc. 41 1993 3275
3. V. Namias J. Inst. Math. Appl. 25 1980 241
4. H.M. Ozaktas, and B. Barshan J. Opt. Soc. Am. A 11 1994 547
5. L.B. Almeida IEEE Trans. Sig. Proc. 42 1994 3084
6. L.B. Almeida IEEE Sig. Proc. Lett. 4 1997 15
7. H. Sundaram, S.D. Joshi, and R.K.P. Bhatt IEEE Trans. Sig. Proc. 45 1997 1862
8. S.Y. Lee, and H.H. Szu Opt. Engg. 33 1994 2326
9. A.I. Zayed IEEE Trans. Sig. Proc. 50 2002 619
10. A.I. Zayed IEEE Sig. Proc. Lett. 5 1998 101
11. A. Papoulis Signal Analysis 1977 McGraw-Hill New York
12. X. Xia IEEE Sig. Proc. Lett. 3 1996 72
13. S.C. Pei, M.H. Yeh, and T.L. Luo IEEE Trans. Sig. Proc. 47 1999 2883
14. R.J. Marks II Advanced Topics in Shannon Sampling and Interpolation Theory 1993 Springer-Verlag New York
15. A.V. Oppenheim, and R.W. Schafer Digital Signal Processing 1994 Prentice Hall of India New Delhi p. 321
16. M.L. Skolnik Introduction to Radar Systems 2001 Tata McGraw-Hill New Delhi p. 108, eq. 3.8
17. C. Candan, and H.M. Ozaktas Sig. Proc. 83 2003 2455
18. H.M. Ozaktas, O. Arikan, M.A. Kutay, and G. Bozdagi IEEE Trans. Sig. Proc. 44 1996 2141
19. M.A. Kutay, H.M. Ozaktas, O. Arikan, and L. Onural IEEE Trans. Sig. Proc. 45 1997 1129
20. A. Bultheel, and H.E.M. Sulbaran Appl. Comput. Harmon. Anal. 16 2004 182