FRACTIONAL FOURIER TRANSFORM: DUALITY, CORRELATION THEOREM AND APPLICATIONS

被引：0

作者：

Bahri, Mawardi ^{[1
]}

Ashino, Ryuichi ^{[2
]}

机构：

[1] Hasanuddin Univ, Dept Math, Makassar 90245, Indonesia

[2] Osaka Kyoiku Univ, Math & Informat, Osaka 5828582, Japan

来源：

PROCEEDINGS OF 2022 INTERNATIONAL CONFERENCEON WAVELET ANALYSIS AND PATTERN RECOGNITION (ICWAPR) | 2022年

关键词：

Fractional Fourier Transform; Convolution; Correlation; Duality Property; Gaussian Function;

D O I：

10.1109/ICWAPR56446.2022.9947156

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We first start by introducing the fractional Fourier transform. We exhibit that the direct relationship between the fractional Fourier transform and Fourier transform can be developed for obtaining the fractional Fourier transform of a function. We then establish the duality property related to the fractional Fourier transform. It is shown that the correlation theorem can be found using the natural link between the convolution and correlation definitions in the fractional Fourier domains. For applications, various consequences of the convolution and correlation theorems including the fractional Fourier transform are also investigated in detail.

引用

页码：35 / 41

页数：7

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