【摘要】 谱估计方法是用于噪声背景下测量微弱正弦信号的一种有效方法。但以往的谱估计都是采用互功率谱估计和高阶自谱估计的各种方法。本文在互功率谱估计和高阶统计量理论基础上 ,提出了互高阶谱估计方法。从理论上建立了基于互四阶累积量的Yule Walker方程 ,并在此基础上提出了互高阶谱估计的矩和最小范数 总体最小二乘 (TLS)方法。仿真结果表明 ,在混合色噪声背景下 ,这两种方法能够有效地抑制噪声 ,具有良好的频率估计性能。更多还原

【Abstract】 Spectral estimation method is an effective method in the case of parameter estimation of weak sinusoidal signal in noises. Spectral estimation always applies cross spectral theory and high order self spectral theory up to now. In the paper, Yule Walker equation based on cross fourth order cumulant has been developed firstly. Moment and minimum norm TLS method are provided in this paper. Simulation results have shown that these two methods are effective to estimation weak sinusoidal signal frequency from hybrid colored noises and have good performance.更多还原