Fractional correlation operation: Performance analysis

Yigal Bitran, Zeev Zalevsky, David Mendlovic, Rainer G. Dorsch

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

The fractional correlation is a new tool related to the fractional Fourier transform. It is useful for comparison and recognition, especially for shift-variant cases. The performances of such a correlator are analyzed according to the standard criteria of signal-to-noise ratio, correlation sharpness (peak-tocorrelation energy), and Horner efficiency. The conclusions are that the performance is object dependent and that for nonwhite noise, compared with the conventional correlator, improved performances are possible. In addition we show that for a white-noise spectrum the fractional correlation has performances similar to the conventional correlator.

Original languageEnglish
Pages (from-to)297-303
Number of pages7
JournalApplied Optics
Volume35
Issue number2
DOIs
StatePublished - 10 Jan 1996
Externally publishedYes

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