Linear canonical ambiguity function and linear canonical transform moments

Optik

Volumn 122, Issue 6, 2011, Pages 540-543

  Zhao, Hui ^a   Ran, Qi Wen ^a   Ma, Jing ^a   Tan, Li Ying ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Ambiguity function; Linear canonical transform; Moments

Indexed keywords

AMBIGUITY FUNCTION; CENTER OF GRAVITY; DIFFRACTED BEAMS; EFFECTIVE WIDTH; FIRST-ORDER OPTICAL SYSTEMS; LINEAR CANONICAL TRANSFORM; MOMENTS; OPTICAL SIGNALS; PARAMETERS CHARACTERIZING; PHASE SPACE DISTRIBUTIONS; PHYSICAL MEANINGS; POWER-SPECTRA; SIMPLE EXPRESSION;

OPTICAL SYSTEMS; PHASE SPACE METHODS;

MATHEMATICAL TRANSFORMATIONS;

EID: 79551526791     PISSN: 00304026     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijleo.2010.04.006     Document Type: Article

References (14)

1. A. Papoulis Ambiguity function in Fourier optics J. Opt. Soc. Am. 64 1974 779 788
2. R.H. Clarke Ambiguity function for time-varying random diffracted fields J. Opt. Soc. Am. A 3 1986 1224 1226
3. K.H. Brenner, J.O. Castaeda, and Ambiguity Function Wigner distribution function applied to partially coherent imagery J. Modern Opt. 31 2 1984 213 223
4. X. Liu, C. Hruscha, and K. Brenner Efficient reconstruction of two-dimensional complex amplitudes utilizing the redundancy of the ambiguity function Appl. Opt. 47 2008 E1 E7
5. M.G. Raymer, M. Beck, and D.F. McAlister Complex wave-field reconstruction using phase-space tomography Phys. Rev. Lett. 72 1994 1137 1140
6. J. Tu, and S. Tamura Analytic relation for recovering the mutual intensity by means of intensity information J. Opt. Soc. Am. A 15 1998 202 206
7. X. Liu, and K.H. Brenner Reconstruction of two-dimensional complex amplitudes from intensity measurements Opt. Commun. 225 2003 19 30
8. H.M. Ozaktas, M.A. Kutay, and Z. Zalevsky The Fractional Fourier Transform with Applications in Optics and Signal Processing 2000 Wiley New York
9. K.K. Sharma, and S.D. Joshi Signal reconstruction from the undersampled signal samples Opt. Commun. 268 2006 245 252
10. B. Barshan, M.A. Kutay, and H.M. Ozaktas Optimal filters with linear canonical transformations Opt. Commun. 135 1997 32 36
11. S.C. Pei, and J.J. Ding Relations between fractional operations and time-frequency distributions, and their applications IEEE Trans. Signal Process. 49 8 2001 1638 1655
12. T. Alieva, and M.J. Bastiaans Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform J. Opt. Soc. Am. A 17 2000 2324 2329
13. A. Stern Uncertainty principles in linear canonical transform domains and some of their implications in optics J. Opt. Soc. Am. A 25 2008 647 652
14. K.K. Sharma, and S.D. Joshi Signal separation using linear canonical and fractional Fourier transforms Opt. Commun. 265 2006 454 460