噪声对贝叶斯频谱估计精度的影响

Influence of Noise on the Accuracy of Bayesian Spectrum Estimation

研究了贝叶斯频谱估计的基本理论和基本方法 ,分别对无噪声和有噪声的简谐正弦信号进行了频谱估计。计算结果显示 :无噪声信号频率估计偏倚为零 ;当信号噪声系数S/N =1时 。

This article discusses the rationale and principle of Bayesian spectrum analysis, and does some spectrum analysis about noiseless and noisy harmonic sine signal. The result of the calculation reveals that the estimated spectrum bias of the noiseless signal is zero, and when S/N=1, the bias of Bayesian frequency is consistent with the theoretical value of Jaynes.