滑动短时傅里叶变换的FPGA实现

FPGA implementation of sliding short-time Fourier transform

为解决对混沌信号进行傅里叶变换分析后,只能得到信号中所包含的频率成分,并不能获知有关频率成分的时间局部化信息的问题,采用了短时傅里叶变换的方法,通过对短时傅里叶变换的数学公式及表达的物理意义研究后,提出了在FPGA上利用Altera公司提供的IP核资源实现短时傅里叶变换的功能,并在Modelsim软件上进行功能仿真。实验证明通过短时傅里叶变换可以对混沌信号进行很好的分析。

In order to solve the problem that only the frequency component contained in the signal can be obtained after Fourier transform analysis of the chaotic signal,and the time localization information about the frequency component can not be obtained,we adopted the method of short-time Fourier transform to study the mathematical formula and physical meaning of the short-time Fourier transform,and then proposed to use the information provided by Altera company on FPGA.IP core resource could realize the function of short-time Fourier transform,and carry on the function simulation in Modelsim software.The experiment verifies that the chaotic signal can be analyzed very well by short-time Fourier transform.