We investigated the correlation performance of a joint fractional Fourier-transform correlator (JFRTC) using computer simulation results. We present a mathematical analysis suggesting use of processing techniques based on a nonlinear transformation and fractional-order fractional-power fringe-adjusted filter to attain improved performance in terms of discrimination sensitivity and input space–bandwidth utilization. Optimal noise performance for the JFRTC is predicted in the presence of additive white Gaussian noise. An all-optical implementation scheme based on incoherent erasure in a photorefractive crystal is proposed.
© 2001 Optical Society of America
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.4550) Image processing : Correlators
(100.5010) Image processing : Pattern recognition
(200.4740) Optics in computing : Optical processing
Renu Tripathi, Gour S. Pati, and Kehar Singh, "Nonlinear Processing and Fractional-Order Filtering in a Joint Fractional Fourier-Transform Correlator: Performance Evaluation in Multiobject Recognition," Appl. Opt. 40, 2844-2859 (2001)