Abstract

A fractional correlator that is based on the anamorphic fractional Fourier transform is defined. This new, to our knowledge, correlator has been extended to work with multiple filters. The novelty introduced by the suggested system is the possibility of the simultaneous detection of several objects in different parts of the input scene (when anamorphic optics are dealt with), thereby permitting an independent degree of space invariance in two perpendicular directions. Computer experiments as well as experimental optical implementation are presented.

© 1996 Optical Society of America

Anamorphic fractional Fourier transform: optical implementation and applications

David Mendlovic, Yigal Bitran, Rainer G. Dorsch, Carlos Ferreira, Javier Garcia, and Haldun M. Ozaktaz
Appl. Opt. 34(32) 7451-7456 (1995)

Optical correlation based on the fractional Fourier transform

Sergio Granieri, Ricardo Arizaga, and Enrique E. Sicre
Appl. Opt. 36(26) 6636-6645 (1997)

Fractional correlation operation: performance analysis

Yigal Bitran, Zeev Zalevsky, David Mendlovic, and Rainer G. Dorsch
Appl. Opt. 35(2) 297-303 (1996)

Fractional Wiener filter

Zeev Zalevsky and David Mendlovic
Appl. Opt. 35(20) 3930-3936 (1996)

Parallel fractional correlation: an optical implementation

Sergio Granieri, Myrian Tebaldi, and Walter D. Furlan
Appl. Opt. 40(35) 6439-6444 (2001)