能量重心改进算法  

Energy Center of Gravity Improvement Algorithm

作　　者：赵兴印 杨明极[1] ZHAO Xingyin;YANG Mingji(School of Measurement-Control Technology and Communications Engineering,Harbin University of Science and Technology,Harbin,Heilongjiang 150080,China)

机构地区：[1]哈尔滨理工大学测控技术与通信工程学院,黑龙江哈尔滨150080

出　　处：《计量学报》2025年第2期274-279,共6页Acta Metrologica Sinica

摘　　要：为了提高校正效果,基于实偶窗函数的傅里叶变换依旧是实偶函数的特性,在分析传统能量重心法理论的基础上,提出了一种提高抗噪性的频谱校正方法,即能量重心改进算法。用此方法对信号加各种窗进行了校正精度分析,结果在取3条谱线加Hanning窗和Blackman窗的情况下,比传统能量重心校正法校正精度分别提高了0.002个频率分辨率和0.017个频率分辨率。在高斯白噪声背景下对改进算法进行了理论分析,结果表明此算法结果准确可靠、抗噪强,为无偏估计,并通过仿真验证了理论推导的正确性。In order to improve the correction effect,the Fourier transform based on the real even window function is still a characteristic of the real even function.Based on the analysis of the traditional energy center of gravity method,a spectrum correction method to improve the anti-noise performance is proposed,that is,the energy center of gravity improved algorithm.Using this method,the correction accuracy of the signal with various windows is analyzed.The results show that the correction accuracy of the three spectral lines with Hanning window and Blackman window is improved by 0.002 frequency resolution and 0.017 frequency resolution respectively compared with the traditional energy center of gravity correction method.The theoretical analysis of the improved algorithm is carried out under the background of Gaussian white noise.The results show that the algorithm is accurate,reliable,anti-noise strong,unbiased estimation,and the correctness of the theoretical derivation is verified by simulation.

关 键 词：信号处理 频谱分析 频率估计 能量重心校正法 高斯白噪声 

分 类 号：TB973[一般工业技术—计量学]