In this paper, a new system of multi-channel single-output
rotation-invariant joint fractional Fourier transform correlator
(JFRTC) for color pattern recognition is proposed. Due to the
shift-variant property of fractional Fourier transform (FRT),
we can obtain three correlation peaks at the output plane which show a pair of cross-correlation peaks that is desired and
one autocorrelation peak, so the noise is greatly reduced. The Synthetic discriminate function (SDF) is quoted at the
input plane to store the reference images to realize
rotation-invariant recognition. To optimize the correlation peaks, the
joint power spectrum is binarized to perform Fourier transform. The theoretical analysis and optical experiments are
discussed in detail. Experimental results are presented to demonstrate the ability of this system.
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