Fractional correlations based on the modified fractional order Fourier transform

被引：8

作者：

Almanasreh, AM ^{[1
]}

Abushagur, MAG

机构：

[1] Amman Univ, Dept Elect & Comp Engn, Amman 19328, Jordan

[2] Univ Alabama, Dept Elect & Comp Engn, Ctr Appl Opt, Huntsville, AL 35899 USA

来源：

OPTICAL ENGINEERING | 1998年 / 37卷 / 01期

关键词：

recognition techniques; fractional order Fourier transforms; optical correlators; pattern recognition; Fourier optics; optical signal processing;

D O I：

10.1117/1.601845

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Based on the modified fractional order Fourier transform (MFROFT), we introduce a modified fractional correlation operation (MFCO). We propose two systems to implement the MFCO experimentally. These are analyzed theoretically to conclude that the MFCO of two objects equals the conventional correlation between the two objects modified by multiplying each by a quadratic phase factor that contains the parameter that determines the fractional order. The MFCO is applied to a rectangular slit analytically, numerically, and experimentally. We show that the MFCO results in superior correlation peaks compared to those of the conventional correlation operation. (C) 1998 Society of Photo-Optical Instrumentation Engineers. [S0091-3286(98)02101-1].

引用

页码：175 / 184

页数：10

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