| 分数低阶α稳定分布的功率谱估计新方法 |
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| 引用本文： | 高玉宝,江金龙.分数低阶α稳定分布的功率谱估计新方法[J].计算机工程与应用,2012,48(12):125-128,152. |
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| 作者姓名： | 高玉宝 江金龙 |
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| 作者单位： | 九江学院电子工程学院,江西九江,332005 |
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| 基金项目： | 国家自然科学基金（No.60772037）; 江西省自然科学基金（No.2009GZS0068）; 江西省卫生厅科技计划项目（No.20092076）; 九江学院科研课题（No.08KJ46） |
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| 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。
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| 关 键 词： | α稳定分布 分数低阶 共变谱 协方差谱 时频分析 |
Novel power spectrum estimation method of fractional lower-order alpha stable distribution |
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| GAO Yubao
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JIANG Jinlong.Novel power spectrum estimation method of fractional lower-order alpha stable distribution[J].Computer Engineering and Applications,2012,48(12):125-128,152. |
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| Authors: | GAO Yubao JIANG Jinlong |
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| Affiliation: | College of Electronic Engineering,Jiujiang University,Jiujiang,Jiangxi 332005,China |
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| 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. |
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| Keywords: | alpha stable distribution fractional lower-order covariation spectrum covariance spectrum time-frequency analysis |
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