Radon-Wigner display: A compact optical implementation with a single varifocal lens

Applied Optics

Volumn 36, Issue 32, 1997, Pages 8363-8369

  Granieri, Sergio ^a,b   Furlan, Walter D ^a   Saavedra, Genaro ^a   Andrés, Pedro ^a  

^a UNIVERSITY OF VALENCIA   (Spain)

^b CENTRO DE INVESTIGACIONES OPTICAS   (Argentina)

Author keywords

Fractional Fourier transform; Optical information processing; Optical wave propagation; Radon Wigner transform; Wigner distribution function

Indexed keywords

EID: 0011769259     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.008363     Document Type: Article

References (11)

1. J. C. Wood and D. T. Barry, “Radon transformation of time-frequency distributions for analysis of multicomponent signals,” Proc. IEEE Int. Conf. Acoust. Speech Signal Process. 4, 257-261 (1992).
2. J. C. Wood and D. T. Barry, “Linear signal synthesis using the Radon-Wigner transform,” IEEE Trans. Signal Process. 42, 2105-2111 (1994).
3. S. Kay and G. F. Boudreaux-Bartels, “On optimality of the Wigner distribution for detection,” Proc. IEEE Int. Conf. Acoust. Speech Signal Process. 3, 1017-1020 (1985).
4. J. C. Wood and D. T. Barry, “Tomographic time-frequency analysis and its application toward time-varying filtering and adaptive kernel design for multicomponent linear-FM signals,” IEEE Trans. Signal Process. 42, 2094-2104 (1994).
5. D. Mendlovic, R. G. Dorsch, A. W. Lohmann, Z. Zalevsky, and C. Ferreira, “Optical illustration of a varied fractional Fourier transform order and the Radon-Wigner display,” Appl. Opt. 35, 3925-3929 (1996).
6. A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A10,2181-2186 (1993).
7. A. W. Lohmann and B. H. Soffer, “Relationships between the Radon-Wigner and fractional Fourier transforms,” J. Opt. Soc. Am. A 11, 1798-1801 (1994).
8. P. Pellat-Finet, “Fresnel diffraction and the fractional-order Fourier transform,” Opt. Lett. 19, 1388-1390 (1994).
9. H. M. Ozaktas and D. Mendlovic, “Fractional Fourier optics,” J. Opt. Soc. Am. A 12, 743-751 (1995).
10. S. Granieri, O. Trabocchi, and E. E. Sicre, “Fractional Fourier transform applied to spatial filtering in the Fresnel domain,” Opt. Commun. 119, 275-278 (1995).
11. T. Alieva and F. Agullo-Lopez, “Optical wave propagation of fractal fields,” Opt. Commun. 125, 267-274 (1996).