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有色观测噪声背景下正弦信号参量估计的互谱Levinson方法
Estimation of Parameters of Sinusoidal Signal Under Colored Noise Background by Cross-spectral Levinson Method
【摘要】 本文从理论上证明了互相关函数的Yule-Walker方程,并在此基础上提出了互谱AR模型参数估计的Levinson递推算法。该算法可有效地克服传统互谱估计的FFT方法和周期图法存在的谱分辩率低、谱估计方差大等缺点。仿真试验表明,该方法还可有效地克服有色观测噪声对测量精度的影响。
【Abstract】 The Yule-Walker equation based on cross-correlation is proposed theoretically, and the Levinson algorithm is developed. The algorithm can efficiently overcome the shortcomings of the classical FFT and cross-periodogram methods for cross-spectral estimation. Finally, the method presented in this paper is compared with the well-known Cadzow’s SVD method by a numerical example.
【关键词】 有色噪声;
互功率谱估计;
微弱正弦信号;
【Key words】 Colored noise; Cross-spectral estimation; Weak sinusoidal sifnal;
【Key words】 Colored noise; Cross-spectral estimation; Weak sinusoidal sifnal;
【基金】 国家教委博士生基金
- 【文献出处】 计量学报 ,ACTA METROLOGICA SINICA , 编辑部邮箱 ,1995年03期
- 【分类号】TN911.4
- 【被引频次】9
- 【下载频次】141