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H. M. Ozaktas and D. A. B. Miller,
"Digital Fourier Optics," Appl. Optics, 35, 1212-1219 (1996). Analog
Fourier optical processing systems can perform important classes of signal processing
operations in parallel, but suffer from limited accuracy. Digital-optical equivalents of
such systems could be built that share many features of the analog systems while allowing
greater accuracy. We show that the digital equivalent of any system consisting of an
arbitrary number of lenses, filters, spatial light modulators, and sections of free space
can be constructed. There are many possible applications for such systems as well as many
alternative technologies for constructing them; this paper stresses the potential of
free-space interconnected active-device-plane-based optoelectronic architectures as a
digital signal processing environment. Implementation of the active-device planes through
hybridization of optoelectronic components with silicon electronics should allow the
realization of systems whose performance exceeds that of purely electronic systems
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