Fractional Hilbert transform

Adolf W. Lohmann, David Mendlovic, Zeev Zalevsky

Research output: Contribution to journalArticlepeer-review

191 Scopus citations


We have generalized the Hilbert transform by defining the fractional Hilbert transform (FHT) operation. In the first stage, two different approaches for defining the FHT are suggested. One is based on modifying only the spatial filter, and the other proposes using the fractional Fourier plane for filtering. In the second stage, the two definitions are combined into a fractional Hilbert transform, which is characterized by two parameters. Computer simulations are presented.

Original languageEnglish
Pages (from-to)281-283
Number of pages3
JournalOptics Letters
Issue number4
StatePublished - 15 Feb 1996
Externally publishedYes


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