From Discrete to Continuous ——Fractional Signal Processing Theories,Methods and Applications

CHEN Zhe; PENG Yu-lin; WANG Shu-wen; YIN Fu-liang

doi:10.3969/j.issn.0372-2112.2012.11.022

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From Discrete to Continuous ——Fractional Signal Processing Theories,Methods and Applications

更新时间：2025-07-16

- From Discrete to Continuous ——Fractional Signal Processing Theories,Methods and Applications
- Acta Electronica Sinica Vol. 40, Issue 11, Pages: 2282-2289(2012)
- 作者机构：
  
  大连理工大学信息与通信工程学院,辽宁,大连,116024
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61172107, No.61172110, No.60772161);Research Fund for the Doctoral Program of Higher Education of China (No.200801410015);Dalian Outstanding Youth Science and Technology Talent Fund (No.2008J23JH025)
- DOI：10.3969/j.issn.0372-2112.2012.11.022
  CLC： TN911.72
- Published：2012
- 稿件说明：
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CHEN Zhe, PENG Yu-lin, WANG Shu-wen, et al. From Discrete to Continuous ——Fractional Signal Processing Theories,Methods and Applications[J]. Acta Electronica Sinica, 2012, 40(11): 2282-2289.
DOI：

CHEN Zhe, PENG Yu-lin, WANG Shu-wen, et al. From Discrete to Continuous ——Fractional Signal Processing Theories,Methods and Applications[J]. Acta Electronica Sinica, 2012, 40(11): 2282-2289. DOI： 10.3969/j.issn.0372-2112.2012.11.022.

摘要

近年来

分数阶信号处理受到广泛关注

已成为研究热点.本文对分数阶信号处理理论、方法与应用进行了综述

分别简述了分数阶傅里叶变换、分数阶微积分、分数阶系统、分数阶统计量、分形的理论方法以及它们在信号处理领域中的应用.

Abstract

In recent years

fractional signal processing has become a research hotspot with a widespread attention.In this paper

the fractional signal processing theories

methods and applications are reviewed

including the fractional Fourier transform

fractional calculus

fractional order system

fractional lower order statistics

and fractal.

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