基于二阶泰勒展开的扩展卡尔曼滤波测频算法  

Extended Kalman filter for frequency measurement based on two-order Taylor expansion

作　　者：孟真[1] 阎跃鹏[1] 于进勇[1] 

机构地区：[1]中国科学院微电子研究所,北京100029

出　　处：《江苏大学学报（自然科学版）》2010年第5期564-569,共6页Journal of Jiangsu University：Natural Science Edition

基　　金：国家"863"计划项目(2009AA12Z314)

摘　　要：为了提高频率不定时变化正弦波信号频率估计值的精确度,基于泰勒展开公式,提出了一种新的采用二阶泰勒展开对非线性系统进行线性化近似的扩展卡尔曼滤波测频算法.给出了新测频算法的理论推导过程,并通过仿真给出了不同信噪比条件下的测频精度以及正弦波信号参量发生突变时的收敛速度.结果表明,在信噪比1 dB至30 dB区间内,采用二阶泰勒展开算法的测频误差比已有采用一阶泰勒展开的算法可以降低10%以上,而在5 dB至20 dB区间可以降低20%以上.In order to enhance the precision of the frequency estimation for the sine signal with occasio-nally changing frequency,a novel extended Kalman filter for frequency measurement was proposed,which used two-order Taylor expansion to linearize the nonlinear system.The theoretical derivation of the new method was presented and the simulations were implemented.The precision of the frequency mea-surement in the different signal to noise ratio was assessed,and the convergence speed was calculated when the parameters of the sine signal changed.The results show that compared with the existing method useing the one-order Taylor expansion,the frequency estimation error of the new method decreases by more than 10%,when the signal to noise ratio is between 1 dB and 30 dB.Especially,when the signal to noise ratio is between 5 dB and 20 dB,the frequency measurement error can decrease by more than 20%.

关 键 词：扩展卡尔曼滤波 频率估计 泰勒级数 线性化 噪声抑制 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]