| 广义分数低阶协方差谱及谐波频率估计 |
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| 引用本文： | 江金龙,查代奉,江民达.广义分数低阶协方差谱及谐波频率估计[J].江西师范大学学报(自然科学版),2008,32(4). |
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| 作者姓名： | 江金龙 查代奉 江民达 |
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| 作者单位： | 1. 九江学院,电子工程学院,江西,九江,332005
2. 都昌北山二中,江西,都昌,332600 |
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| 基金项目： | 国家自然科学基金，江西省教育厅教学改革项目，九江学院科技项目，教改项目 |
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| 摘 要： | 为了进一步探索a稳定分布的谱定义,该文提出了广义分数低阶协方差谱的概念,它对a稳定分布随机过程作非线性变换,使变换后的随机过程存在二阶统计量,从而可运用Fourier变换作频域分析.变换函数可以是对数型、Sigmoid型、反正切型等,这些变换函数不依赖于对特征指数a的先验知识的了解或估计,便于工程应用.计算机仿真表明,这些广义分数低阶谱在a稳定分布噪声条件下具有良好韧性,能够对谐波信号频率进行有效识别.
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| 关 键 词： | 广义分数低阶协方差谱 共变谱 a谱 |
Generalized Fractional Lower-Order Spectrum with Application Estimating Harmonic Frequencies |
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| JIANG Jin-long,ZHA Dai-feng,JIANG Min-da.Generalized Fractional Lower-Order Spectrum with Application Estimating Harmonic Frequencies[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2008,32(4). |
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| Authors: | JIANG Jin-long ZHA Dai-feng JIANG Min-da |
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| Institution: | 1.College of Electronic Engineering Jiujiang University;Jiujiang Jiangxi 332005;China;2.Beishan No 2 Middle School in Duchang;Duchang Jiangxi 332600;China |
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| Abstract: | Generalized fractional lower-order covariance spectrum is proposed for exploring deeply spectrum definition of stable distribution.After a non-linear transform is used in stable distribution process for getting finite second-order moment,consequently,Fourier transform of transformed stochastic process can be employed to analyze characteristic in frequency domain.Transforming functions are similar to logarithm,sigmoid,arctangent,etc,not depended on a prior knowledge of characteristic exponent,and facilitativ... |
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| Keywords: | generalized fractional lower-order covariance spectrum co-variation spectrum spectrum |
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