Application of genetic algorithm in Fourier transform of periodic signals

WU Xin-jie; ZHANG Dan; XU Chao

doi:10.13873/j.1000-97872008.04.038

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Application of genetic algorithm in Fourier transform of periodic signals

更新时间：2025-09-11

- Application of genetic algorithm in Fourier transform of periodic signals
- Issue 4, Pages: 114-116(2008)
- 作者机构：
  
  1. 辽宁大学物理学院
  2. 辽宁大学物理学院,辽宁,沈阳,110036
- 作者简介：
- 基金信息：
- DOI：10.13873/j.1000-97872008.04.038
  CLC： TN911;TP18
- Published：2008
- 稿件说明：
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[1]吴新杰,张丹,许超.遗传算法在周期信号傅立叶变换中的应用[J].传感器与微系统,2008(04):114-116.

WU Xin-jie, ZHANG Dan, XU Chao. Application of genetic algorithm in Fourier transform of periodic signals[J]. 2008, (4): 114-116.
[1]吴新杰,张丹,许超.遗传算法在周期信号傅立叶变换中的应用[J].传感器与微系统,2008(04):114-116. DOI： 10.13873/j.1000-97872008.04.038.

WU Xin-jie, ZHANG Dan, XU Chao. Application of genetic algorithm in Fourier transform of periodic signals[J]. 2008, (4): 114-116. DOI： 10.13873/j.1000-97872008.04.038.

摘要

为了克服周期信号进行傅立叶变换时各次谐波幅度值需要进行复杂的理论计算问题

提出一种利用遗传算法进行周期信号傅立叶变换的方法

介绍了周期信号傅立叶变换和遗传算法的基本原理;给出了使用遗传算法对周期信号进行分解适应度函数的实现方法和确定各次谐波幅值计算的方法。并提供使用遗传算法对周期信号进行分解的具体步骤。仿真实验结果表明:该方法能够满足周期信号傅立叶变换的要求

与周期信号傅立叶变换理论计算方法相比

其突出优点是算法简单

易于实现。

Abstract

For overcoming complicated theory computation problem of harmonic wave components amplitude in Fourier transform of periodic signal

a method of Fourier transform of periodic signals based on genetic algorithm is presented.The basic principles of Fourier transform of periodic signals and genetic algorithm are introduced

The fitness function that periodic signals are decomposed based on genetic algorithm is given;computational method of harmonic wave components amplitudes is presented.The steps of periodic signals decompositions on the basis of genetic algorithm are given.The simulation experimental results show that the method can satisfy the need of Fourier transform of periodic signal.This method is simple and easy to implement for computers as compared with the theory computation method of periodic signals Fourier transform.

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references

基于新模型的多目标遗传算法 [J]. 刘淳安,王宇平. 西安电子科技大学学报 . 2005(02)

一种新的求解多目标优化问题的混合遗传算法 [J]. 牛志华,李乃成,肖国镇. 计算机工程 . 2003(18)

基于免疫的多峰极值遗传搜索算法 [J]. 孟红云,刘三阳. 系统工程与电子技术 . 2003(04)

信号与系统[M]. 高等教育出版社 , 郑君里等[编著], 2000

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