[1]何一鸣,张刚兵,钱显毅.正弦信号频率估计算法研究[J].南京理工大学学报(自然科学版),2012,36(06):0.
 HE Yi ming,ZHANG Gang bing,QIAN Xian yi.Frequency Estimation Algorithm of Sinusoidal Signals[J].Journal of Nanjing University of Science and Technology,2012,36(06):0.
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正弦信号频率估计算法研究
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
36卷
期数:
2012年06期
页码:
0
栏目:
出版日期:
2012-12-31

文章信息/Info

Title:
Frequency Estimation Algorithm of Sinusoidal Signals
作者:
何一鸣张刚兵钱显毅
常州工学院 电子信息与电气工程学院,江苏 常州 231002
Author(s):
HE YimingZHANG GangbingQIAN Xianyi
School of Eletronic Information and Eletric Engineering,Changzhou Institute of Technology, Changzhou 231002,China
关键词:
正弦信号频率估计谱线插值克拉美-罗限
Keywords:
sinusoidal signalsfrequency estimationinterpolationCramerRao lower bound
分类号:
TN911
摘要:
为精确估计噪声中正弦信号的频率,研究了任意长度正弦信号的频率估计算法。取2的整数次幂个数据样本点,基于谱线插值算法估计短序列的频率。根据信号的频率、频率分辨率及最大谱线对应的索引值之间的关系,确定原信号傅里叶变换(DFT)幅度最大谱线对应的索引值。利用谱线插值解决了任意长度正弦信号的频率估计问题。仿真结果表明:该算法的性能不随信号频率的变化而变化,在整个频段范围内比较稳定,均接近正弦波信号频率估计的克拉美-罗限。
Abstract:
To estimate the frequency of sinusoidal signals in noise accurately,an algorithm of frequency estimation for sinusoidal signals with arbitrary length is researched.The lengths of the samples are taken as integral powers of 2 and the frequency of truncated sequences is estimated based on the interpolation algorithm.The corresponding index of maximum amplitude of spectrum for the original signal is given according to the relationship among the frequency,the frequency resolution and the index of spectrum with biggest amplitude.The frequency estimation for sinusoidal signals with arbitrary length is solved by using interpolation.Simulation results show that the performances of the proposed algorithm do not vary with the change of signal frequency and attains the CramerRao lower bound of sinusoidal signal.

参考文献/References:

[1]陈曦,许建中.Wigner高阶谱在弹丸膛内运动分析中的应用[J].南京理工大学学报,2012,36(3):442-447. Chen Xi,Xu Jianzhong.Application of Wigner higherorder spectra in analysis of projectile motion in bore[J].Journal of Nanjing University of Science and Technology,2012,36(3):442-447.
[2]白生祥,陈昕,唐劲松,等.基于局部条纹特征的低信噪比干涉图滤波[J].南京理工大学学报,2012,36(3):459-464. Bai Shengxiang,Chen Xin,Tang Jinsong.Interferogram filter based on local fringe feature for low SNR[J].Journal of Nanjing University of Science and Technology,2012,36(3):459-464.
[3]王旭东,刘渝,邓振淼.基于修正Rife算法的正弦波频率估计及FPGA实现[J].系统工程与电子技术,2008,30(4):621-624. Wang Xudong,Liu Yu,Deng Zhenmiao.Modified Rife algorithm for frequency estimation of sinusoid and implementation in FPGA[J].Systems Engineering and Electronics,2008,30(4):621-624.
[4]齐国清,贾欣乐.插值FFT估计正弦信号频率的精度分析[J].电子学报,2004,32(4):625-629. Qi Guoqing,Jia Xinle.Accuracy analysis of frequency estimation of sinusoid based on interpolated FFT[J].Acta Electronica Sinica,2004,32(4):625-629.
[5]邓振淼,刘渝,王志忠.正弦波频率估计的修正Rife算法[J].数据采集与处理,2006,21(4):473-477. Deng Zhenmiao,Liu Yu,Wang Zhizhong.Modified Rife algorithm for frequency estimation of sinusoid wave[J].Journal of Data Acquisition & Processing,2006,21(4):473-477.
[6]邓振淼,刘渝.正弦波频率估计的牛顿迭代方法初始值研究[J].电子学报,2007,35(1):104-107. Deng Zhenmiao,Liu Yu.The starting point problem of sinusoid frequency estimation based on Newton’s method[J].Acta Electronica Sinica,2007,35(1):104-107.
[7]齐国清,贾欣乐.基于DFT相位的正弦波频率和初相的高精度估计方法[J].电子学报,2001,29(9):1164-1167. Qi Guoqing,Jia Xinle.Highaccuracy frequency and phase estimation of singletone based on phase of DFT[J].Acta Electronica Sinica,2001,29(9):1164-1167.
[8]Aboutanios E,Mulgrew B.Iterative frequency estimation by interpolation on Fourier coefficients[J].IEEE Transactions on Signal Processing,2005,53(4):1237-1242.
[9]胥嘉佳,刘渝,邓振淼.任意点正弦波信号频率估计的快速算法[J].南京航空航天大学学报,2008,40(6):794-798. Xu Jiajia,Liu Yu,Deng Zhenmiao.Quick algorithm for frequency estimation of sinusoid signal of any length[J].Journal of Nanjing University of Aeronautics & Astronautics,2008,40(6):794-798.
[10]黄晓红,邓振淼.改进的相位展开算法及其在瞬时频率估计中的应用[J].电子学报,2009,37(10):2266-2272. Huang Xiaohong,Deng Zhenmiao.An improved phase unwrapping algorithm and its application to instantaneous frequency estimation[J].Acta Electronica Sinica,2009,37(10):2266-2272.
[11]Brown T,Wang M M.An iterative algorithm for singlefrequency estimation[J].IEEE Transactions on Signal Processing,2002,50(11):2671-2682.
[12]Xiao Yangcan,Wei Ping,Tai Hengming.Autocorrelationbased algorithm for singlefrequency estimation[J].Signal Processing,2007:1224-1233.

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备注/Memo

备注/Memo:
收稿日期:2012-06-08修回日期:2012-12-13 基金项目:江苏省高校自然科学基金(12KJD510002);常州工学院校级科研基金(YN1101) 作者简介:何一鸣(1958-),男,副教授,主要研究方向:信号处理、自动控制,Email:heym@czu.cn。
更新日期/Last Update: 2012-12-29