Z. Zalevsky et al., Optical implementation of second-order nonlinear Volterra operators with use of triple correlation, J OPT SOC A, 18(1), 2001, pp. 164-169
Following the Volterra theorem, every nonlinear operator can be implemented
with a sum of integrals applied over the input. The second-order Volterra
operator that describes many useful systems can be related to a single inte
gral that is a projection of an operation called the triple correlation. Th
is operation may be easily implemented optically and thus be incorporated i
nto fast real-time nonlinear control systems. We present a theoretical inve
stigation of the relation existing between the Volterra operators and the t
riple correlation as well as an experimental demonstration that validates t
he theory. (C) 2001 Optical Society of America.