Alpha稳定分布噪声条件下的广义S变换时频分析

Time-Frequency Distribution of Generalized S-Transform Under Alpha Stable Distributed Noise Conditions

  • 摘要: 在分析Alpha稳定分布噪声干扰下的非高斯信号时,基于传统二阶广义S变换时频算法效果显著退化。针对该问题,提出了基于分数低阶的广义S变换时频分析(FLO-GST)算法。该算法将分数低阶谱理论和常规广义S变换时频分布算法有机结合,同时优化窗口调节因子改善时频聚集性,得到较好的时频图谱。通过计算机仿真,并与其他时频算法进行对比,结果表明,该算法能有效抑制脉冲噪声干扰,更好的描述稳定分布噪声下非平稳信号的时频图谱,具有良好的韧性。

     

    Abstract: In order to solve the problem that generalized s-transform time-frequency distribution method is invalid under α-stable distribution noise environments. This paper proposes an improved fractional lower order generalized s-transform (FLO-GST) algorithm. It combines the theory of fractional lower order spectrum with conventional generalized s-transform time-frequency distribution algorithm, and at the same time introduces regulatory factor of window function to improve time-frequency concentration. The simulation results and analysis show that, compared to conventional methods of time-frequency analysis, the proposed method is more robust under α-stable distribution interference environments than conventional methods.

     

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