Analog Fourier optical processing systems can perform important classe
s 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 technologie
s for constructing them; this paper stresses the potential of free-spa
ce interconnected active-device-plane-based optoelectronic architectur
es as a digital signal processing environment. Implementation of the a
ctive-device planes through hybridization of optoelectronic components
with silicon electronics should allow the realization of systems whos
e performance exceeds that of purely electronic systems. (C) 1996 Opti
cal Society of America