A hybrid system has been constructed to perform the complex Fourier transform of real 2-D data. The system is based on the Radon transform; i.e., operations are performed on 1-D projections of the data. The projections are derived optically from transmissive or reflective objects, and the complex Fourier transform is performed with SAW filters via the chirp transform algorithm. The real and imaginary parts of the 2-D transform are produced in two bipolar output channels.
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Easton et al. (1985) studied this question.
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