Fractional Hilbert transform

被引:167
作者
Lohmann, AW
Mendlovic, D
Zalevsky, Z
机构
[1] UNIV ERLANGEN NURNBERG,INST PHYS,W-8520 ERLANGEN,GERMANY
[2] TEL AVIV UNIV,FAC ENGN,DEPT ELECT ENGN PHYS ELECTR,IL-69978 TEL AVIV,ISRAEL
关键词
D O I
10.1364/OL.21.000281
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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. (C) 1996 Optical Society of America
引用
收藏
页码:281 / 283
页数:3
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