TY - JOUR
T1 - Optical implementation of second-order nonlinear volterra operators with use of triple correlation
AU - Zalevsky, Zeev
AU - Gur, Eran
AU - Mendlovic, David
PY - 2001/1
Y1 - 2001/1
N2 - 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 integral that is a projection of an operation called the triple correlation. This operation may be easily implemented optically and thus be incorporated into fast real-time nonlinear control systems. We present a theoretical investigation of the relation existing between the Volterra operators and the triple correlation as well as an experimental demonstration that validates the theory.
AB - 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 integral that is a projection of an operation called the triple correlation. This operation may be easily implemented optically and thus be incorporated into fast real-time nonlinear control systems. We present a theoretical investigation of the relation existing between the Volterra operators and the triple correlation as well as an experimental demonstration that validates the theory.
UR - http://www.scopus.com/inward/record.url?scp=0037781921&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.18.000164
DO - 10.1364/JOSAA.18.000164
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AN - SCOPUS:0037781921
SN - 1084-7529
VL - 18
SP - 164
EP - 169
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 1
ER -