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一种新的分数阶傅立叶变换快速算法

平先军 陶然 周思永 王越

电子学报2001,Vol.29Issue(3):406-408,3.
电子学报2001,Vol.29Issue(3):406-408,3.

一种新的分数阶傅立叶变换快速算法

A Novel Fast Algorithm for Fractional Fourier Transform

平先军 1陶然 1周思永 1王越1

作者信息

  • 1. 北京理工大学电子工程系,
  • 折叠

摘要

Abstract

The definition of the Fractional Fourier Transform (FRFT) has been presented in the paper.Several fast algorithms of discrete FRFT have been reviewed.The performances of these algorithms have been analyzed briefly.Based on this analysis,a new algorithm for efficient and accurate computation of FRFT is given.This algorithm needs not to consider the match between eigenvalues and eigenvectors.There are some advantages such as easily understanding and implementing with excellent effect.And if the rotational angle is changed,only a diagonal matrix should be recomputed.A few simulation results for some typical signals are provided to compare with previous ones by other methods in the end.

关键词

分数阶傅立叶变换/Hermite函数/时频分析

分类

信息技术与安全科学

引用本文复制引用

平先军,陶然,周思永,王越..一种新的分数阶傅立叶变换快速算法[J].电子学报,2001,29(3):406-408,3.

电子学报

OA北大核心CSCD

0372-2112

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