Abstract:

It is not enough that only using a dimension analysis method for non-stable signal in a stable distribution noise. A novel wavelet time-frequency analysis method of fractional lower-order a stable distribution is proposed in this paper based on conventional wavelet, which includes the idea combining traditional wavelet and spectrum analysis. Simulations show that the proposed method has more excellent performance than conventional wavelet in time-frequency analyzing of a stable distribution process.

Key words: stable distribution, fractional lower-order, wavelet transform, time-frequency analysis, fractional lower-order wavelet analysis

摘要：

采用传统小波分析方法对分数低阶?稳定分布噪声下的信号进行时频分析，存在性能退化的问题。为此，提出一种新型时频分析方法——分数低阶小波分析方法。根据分数低阶?稳定分布的特性，采用不破坏相位信息的频谱分析思想对传统小波理论进行改进。仿真结果表明，该方法能在时域、频域较好地分析出信号的频谱特征。

关键词: 稳定分布, 分数低阶, 小波变换, 时-频分析, 分数低阶小波分析

CLC Number: 

• TN911.73