Fractional correlation

David Mendlovic, Haldun M. Ozaktas, Adolf W. Lohmann

Research output: Contribution to journalArticlepeer-review


Recently, optical interpretations of the fractional-Fourier-transform operator have been introduced. On the basis of this operator the fractional correlation operator is defined in two different ways that are both consistent with the definition of conventional correlation. Fractional correlation is not always a shift-invariant operation. This property leads to some new applications for fractional correlation as shift-variant image detection. A bulk-optics implementation of fractional correlation is suggested and demonstrated with computer simulations.

Original languageEnglish
Pages (from-to)303-309
Number of pages7
JournalApplied Optics
Issue number2
StatePublished - Jan 1995


  • Correlation
  • Fourier optics
  • Fractional Fourier transforms
  • Optical information processing


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