Optical implementation of second-order nonlinear volterra operators with use of triple correlation

Zeev Zalevsky, Eran Gur, David Mendlovic

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)164-169
Number of pages6
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume18
Issue number1
DOIs
StatePublished - Jan 2001

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