摘要
推导了高斯白噪声背景下加任意对称窗函数截断的谐波信号用时移相位差校正法进行离散频谱校正时的归一化频率估计误差的统计公式;针对加矩形窗和加Hanning窗,通过与仿真模拟结果的对比分析验证了其正确性,并分析了在某些情况下产生偏离的原因;研究了谐波信号本身参数和校正方法选取的参数对估计误差的影响,并比较了加矩形窗和加Hanning窗时的估计误差。
A statistical formula of normalized frequency error estimation is deduced by applying time-Shifting correcting method of phase difference to the harmonics in presence of Gaussian white noise. The truncated signals can be multiplied by any kind of symmetry window functions. In both the cases that the signal is multiplied by either a rectangle or an Hanning window {unction, comparison between theoretical forms and analog results has been made to verify the correctness. In addition, reasons for deviation in certain conditions have been analyzed. The intrinsic factors of harmonics and the selected parameters of correct methods which will have influences on the estimation error have been studied, The comparison of the estimation error between rectangle window function and Henning window function has also been made.
出处
《振动工程学报》
EI
CSCD
北大核心
2007年第3期274-279,共6页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目(50475095)
广东省自然科学基金资助项目(04020082)
关键词
离散频谱
相位差
误差
高斯白噪声
discrete spectrum
phase difference
error
Gaussian white noise
