摘要
针对余弦振动信号的频率高精度估计需求,提出了一种基于频差修正的频率估计算法。对连续时间信号进行采样后,使用Candan算法估计出频差,运用频差对信号的频率进行修正。对修正后的信号使用Liang算法再次进行频偏估计。最后将2次估计得到的频率值相加求得最终估计频率。通过频差修正,避免了Candan算法因插值方向错误和Liang算法自身特点导致估计精度降低的问题,虽然增加了计算量,但并不影响信号实时处理。仿真结果表明:在相对频偏为任意值的情况下,改进算法的频率估计均方误差接近克拉美罗下限(CRLB),性能优于现有频率估计算法。
To meet the demand of high precision frequency estimation of cosine vibration signal,a new algorithm based on frequency-offset correction is proposed. The algorithm estimates the frequency-offset,with which the frequency of signal can be revised,by Candan algorithm after sampling the continuous time signal. For the signal revised,use Liang algorithm to estimate the frequency-offset again. The ultimate estimated frequency is given by adding the two estimated frequency together. By frequency-offset revision,the proposed algorithm avoids the decrease of precision caused by interpolation error of Candan algorithm and characteristics of Liang algorithm. The new algorithm guarantees the real-time signal processing,although it increases the amount of computation. Numerical results demonstrate that the mean square error of frequency estimation of the improved algorithm is more closer to the Cramer-Rao lower bound（ CRLB） bound character is prior to the existing frequency estimation algorithm.
作者
张威
李松
刘进忙
聂莹
ZHANG Wei LI Song LIU Jin-mang NIE Ying(Air and Missile Defense College, Air Force Engineering University, Xi＇ an 710051, China Unit 93861 of the PLA, Sanyuan 713800, China)
出处
《传感器与微系统》
CSCD
2017年第9期121-124,共4页
Transducer and Microsystem Technologies
基金
国家自然科学基金资助项目(61201287)
关键词
余弦信号
频差修正
频率估计
离散傅立叶变换
cosine signal
frequency-offset correction
frequency estimation
discrete Fourier transform（DFT）
