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基于互四阶累积量的谐参数联合估计的TLS-ESPRIT方法
引用本文:周晓勤,王文才,孔繁森.基于互四阶累积量的谐参数联合估计的TLS-ESPRIT方法[J].北京工业大学学报,2008,34(8).
作者姓名:周晓勤  王文才  孔繁森
作者单位:吉林大学,机械科学与工程学院,长春,130022;密西根大学安娜堡分校,机械工程系,安娜堡 MI 48109-2136
基金项目:国家自然科学基金,高等学校博士学科点专项科研项目
摘    要:导出了混合色噪声中复值随机谐波信号和实值随机谐波信号的互四阶累积量及对角切片,利用这些对角切片皆可估计出相同的频率和相移,但根据实值随机谐波所估计的互功率为复值随机谐波的3/16.将互四阶累积量与高分辨率的ESPRIT方法结合,提出了在混合色噪声中基于互四阶累积量的谐参数联合估计的TLS- ESPRIT方法.研究结果表明,基于互四阶累积量的谐参数联合估计TLS-ESPRIT方法可抑制混合色噪声,具有优越的参数估计性能.

关 键 词:谐波恢复  互高阶累积量  混合色噪声

Parameters Based on Cross Fourth-order Cumulants
ZHOU Xiao-qin,WANG Wen-cai,KONG Fan-sen.Parameters Based on Cross Fourth-order Cumulants[J].Journal of Beijing Polytechnic University,2008,34(8).
Authors:ZHOU Xiao-qin  WANG Wen-cai  KONG Fan-sen
Abstract:The cross fourth-order cumulants and their diagonal slices are respectively derived for both complex- and real-valued stochastic harmonic signals in hybrid colored noises.These diagonal slices can be used to estimate the same frequencies and phase shifts,but the different cross powers with the scale factor 3/16 with respect to complex and real-valued cases.By combining the cross fourth-order cumulants with high-resolution ESPRIT(estimation of signal parameters via rotational invariance techniques)algorithm,a TLS-ESPRIT approach to jointly estimating harmonic parameters in hybrid colored noises is presented.The simulation results demonstrated that the proposed joint estimation approach to harmonic parameters can suppress the hybrid colored noises,and retrieval the harmonic parameters with excellent estimation performance.
Keywords:harmonic retrieval  cross high-order cumulants  hybrid colored noise
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