遗传算法在周期信号傅立叶变换中的应用

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。

Application of genetic algorithm in Fourier transform of periodic signals

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.