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中文摘要：
传统的α稳定分布噪声下信号功率谱估计方法有两种,分别为共变谱估计与协方差谱估计。这两种谱估计方法都是以自相关这个二阶矩作为频域分析对象,而自相关是个损失了信号中相位的信息,不能用于时频域分析。针对这一问题,提出了一种新的分数低阶功率谱估计方法,计算机仿真结果表明,与现有方法相比,该新方法不仅在进行分数低阶功率谱估计时具有更优良的性能,而且可进一步应用于时频域分析,具有更广泛的应用价值。
英文摘要：
There are two classes of power spectrum estimation methods in alpha stable distribution,that are covariation and covariance spectrum estimation.The methods can not be used in time-frequency analysis for they analyze frequency-domain information by auto-correction or its two order moments and lost signal phase information.A novel power spectrum estimation method of fractional lower-order alpha stable distribution is proposed.Simulations show that the proposed method has excellent performance in estimating fractional lower order power spectrum,can be used further in time-frequency analysis and has more widely application value.
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