| 摘要: |
| 提出了一种新的正弦信号频率和初相估计方法——频谱遍历法。该方法通过改变理想
正弦信号频谱峰值实现对采样信号频谱峰值的遍历。分析了噪声对信号频谱幅度的影响，并
以此给出了谱线遍历范围的选取准则。先估计频率，采用移频操作达到了良好的频域稳定性
；再估计相位，避免了相位测量模糊的问题。在信噪比为6 dB、采样点数为1 024
的情况下，频率估计均方根误差约为DFT频率分辨率的0.8%，初相估计均方根误差约为1.5
°。Monte Carlo仿真表明，在达到一定信噪比或采样长度时，该方法的频率估计精度可突
破CR下限，初相估计精度基本达到CR下限。 |
| 关键词: 频率估计 相位估计 频谱遍历 移频 |
| DOI： |
|
| 基金项目:总装试验技术研究项目(2011SY41A7001) |
|
| A novel method for frequency and initial phase estimation of single-tone signals |
| LU Wei-tao,YANG Wen-ge,HONG Jia-cai,YU Jin-feng |
| () |
| Abstract: |
| A novel method for estimating the frequency and initial phase of singl
etone signals is proposed, which uses a series of ideal spectrum to traver
se the spectrum of sampled singletone signal. By analysing the effect caused by
noise on amplitude of signal spectrum, the rule of determining spectrum ranges f
or traversing is raised. The frequency is estimated firstly by adopting frequenc
y shift to obtain good frequency stability. And then the initial phase is estimate
d, avoiding the problem of phase fuzzy. When SNR=6dB and sampling number N=1 024, the RMS error of
frequency estimation is about 0.8% of the frequency resolution of the DFT, and
the RMS error of the initial phase estimation is about 1.5°. Monte Carlo simul
ation results show that the RMS error of frequency estimation is lower than Crame
rRao bound and RMS error of initial phase estimation is close to the bound und
er certain condition of SNR or sampled data length. |
| Key words: frequency estimation phase estimation spectrum traversing frequency shift |
《电讯技术》编辑部 