论文部分内容阅读
S变换(ST)结合了小波变换和短时傅里叶变换的特性,对信号处理具有良好的局部时频聚集性.分数阶傅里叶变换是一种对非平稳信号分析的工具.本文基于分数阶傅里叶变换和S变换的思想,提出了分数阶S变换(FRST),将S变换从时间-频率域推广到时间-分数阶频率域,推导了它的逆变换公式并研究了其数学性质。分数阶S变换(FRST)具有分数阶傅里叶变换和S变换的优点,增强了S变换对信号处理的灵活性。相比于S变换,分数阶S变换能提高信号时频分辨能力。仿真实验证实了该方法的有效性。
S transform (ST) combines the characteristics of wavelet transform and short-time Fourier transform, and has good local time-frequency clustering for signal processing.Fractional Fourier transform is a tool for non-stationary signal analysis.This paper is based on Fractional Fourier Transform and S Transform, the Fractional S Transform (FRST) is proposed. The S transform is extended from the time-frequency domain to the time-fractional frequency domain, and its inverse transform formula is derived and studied Mathematical properties. Fractional-order S transform (FRST) has the advantages of fractional Fourier transform and S transform, which enhances the flexibility of S transform in signal processing. Compared with the S transform, fractional-order S transform can improve signal time-frequency resolution. Simulation results show the effectiveness of this method.