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传统的傅立叶变换无法满足对非线性、非平稳信号的分析,时频分析旨在构造一种时间和频率的密度函数,能够反映非平稳信号的时变特征,是非平稳信号分析的有力工具。文章讨论了魏格纳-威尔分布、伪平滑魏格纳-威尔分布及乔伊-威廉斯分布三种固定核函数时频分析方法的性能特征,进行计算机仿真,最后总结这三种分布在时频分辨率、抗干扰能力和信号适用性方面的优缺点。
The traditional Fourier transform can not satisfy the analysis of nonlinear and non-stationary signals. Time-frequency analysis aims to construct a time and frequency density function, which can reflect the time-varying characteristics of non-stationary signals and is a powerful tool for non-stationary signal analysis. The paper discusses the performance characteristics of the Wigner-Weir distribution, the pseudo-smooth WeigWay-Weil distribution and the Joey-Williams distribution of three fixed kernel time-frequency analysis methods, computer simulation, and finally summarizes these three distributions Advantages and disadvantages in terms of time-frequency resolution, anti-jamming capability and signal suitability.