色噪声背景下正弦频率估计的互高阶谱LS方法

Frequencies Estimation of Sinusoidal Embedded in Colored Noises via Cross-High-Order Cumulant LS Method

在互功率谱估计方法和高阶统计量理论相结合的基础上 ,提出了现代互高阶谱估计理论。首先推导并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四阶累积量的最小二乘 (LS)修正Yule -Walker方程方法。仿真结果表明 ,在混合色噪声背景下 ,在信噪比达到 - 5dB的情况下 ,该方法仍能有效地抑制相关的和不相关的色噪声 ,具有良好的频率估计性能。

Harmonic retrieval problem considered here concerns with the estimation of the sinusoidal frequencies in hybrid col - red noises. It is applied to the cross - spectral theory and high - order self - spectral theory now. In this paper, Yule - Walker equation based on cross - fourth - order cumulant is developed first. And least square (LS) modified Yule - Walker (LS - Yule - Walker) method is also provided. Simulation results show that the method is effective to estimation sinusoid signal frequencies from hybrid colored noises and has good performance.