Fractional Fourier Transform and Its Applications

孙晓兵; 保铮

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Fractional Fourier Transform and Its Applications

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- Fractional Fourier Transform and Its Applications
- Acta Electronica Sinica Issue 12, (1996)
- 作者机构：
  
  西安电子科技大学电子工程研究所
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.6
- Published：1996
- 稿件说明：
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[1]孙晓兵,保铮.分数阶Fourier变换及其应用[J].电子学报,1996(12):60-65.

孙晓兵, 保铮. Fractional Fourier Transform and Its Applications[J]. Acta Electronica Sinica, 1996, (12).
[1]孙晓兵,保铮.分数阶Fourier变换及其应用[J].电子学报,1996(12):60-65. DOI：

孙晓兵, 保铮. Fractional Fourier Transform and Its Applications[J]. Acta Electronica Sinica, 1996, (12). DOI：

摘要

本文介绍了一种崭新的信号分析工具──分数阶Ｆｏｕｒｉｅｒ变换（ＦＲＦＴ）。本文在简单介绍了ＦＲＦＴ的几种不同的引入途径和其基本性质之后，在时－频平面对ＦＲＦＴ进行了研究，用经典的Ｆｏｕｒｉｅｒ变换的观点对ＦＲＦＴ进行了解释，并推导了ＦＲＦＴ与Ｒａｄｏｎ－Ｗｉｇｎｅｒ变换的关系。最后，根据ＦＦＲＴ的特点，提出了它在时频信号分析中的两种新的应用途径。

Abstract

A new tool for signal analysis-fractional Fourier transform（FRFT）

is introduced in this paper. After the brief introduction of several ways of inducing and some basic properties of FRFT

it is studied in the time-frequency plane and interpreted in view of the classic Fourier transform. The relationship between FRFT and Radon-Wigner transform is also derived. Finally

based on the properties of FRFT

two new possible applications in time-frequency signal analysis are proposed.

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