Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (12): 125-128.

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Novel power spectrum estimation method of fractional lower-order alpha stable distribution

GAO Yubao, JIANG Jinlong   

  1. College of Electronic Engineering, Jiujiang University, Jiujiang, Jiangxi 332005, China
  • Online:2012-04-21 Published:2012-04-20

分数低阶[α]稳定分布的功率谱估计新方法

高玉宝,江金龙   

  1. 九江学院 电子工程学院,江西 九江 332005

Abstract: 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.

Key words: alpha stable distribution, fractional lower-order, covariation spectrum, covariance spectrum, time-frequency analysis

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。

关键词: [&alpha, ]稳定分布, 分数低阶, 共变谱, 协方差谱, 时频分析