| 基于DFT相位的正弦波频率和初相的高精度估计方法 |
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| 引用本文： | 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. |
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| 作者姓名： | 齐国清 贾欣乐 |
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| 作者单位： | 1. 大连海事大学电子信息与通信工程学院
2. 大连海事大学轮机工程研究所 |
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| 基金项目： | 教育部博士学科点专项研究基金(No.98015101) |
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| 摘 要： | 提出一种新的基于DFT相位的正弦波信号频率和初相的高精度估计方法.利用分段DFT频谱的相位差消除了初相对频率估计的影响且避免了相位测量模糊问题.给出了频率和初相估计的均方根误差计算公式.理论分析和Monte Carlo模拟结果显示频率估计均方根误差接近Cramer-Rao(CR)下限,初相估计均方根误差略高于CR下限的2倍.阈值信噪比远远低于基于时域瞬时相位的频率和初相估计方法.在信噪比为6dB、采样点数为1024的情况下,频率估计均方根误差约为DFT频率分辨率的1%,初相估计均方根误差约为2度.该方法已用于FMCW液位测量雷达并取得1mm距离测量精度.
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| 关 键 词： | 频率估计 相位估计 雷达测距 DFT |
| 文章编号： | 0372-2112(2001)09-1164-04 |
| 作者简介： | 齐国清男.1960年11月生于辽宁凌海市,教授,在职博士研究生.1982年毕业于大连工学院电子工程系,1984年在大连海运学院电子工程系获硕士学位.1993年至1995年在新加坡标准与工业研究院从事FMCW液位测量雷达研究工作,现任职于大连海事大学电子信息与通信工程学院.主要研究方向:数字信号处理,FMCW雷达,船舶导航雷达.贾欣乐男.1932年生于辽宁辽阳市,教授,博士生导师.1959年毕业于清华大学研究生班.现为大连海事大学控制工程教授.主要研究兴趣为智能控制用于于船舶系统和船舶操纵运动. |
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High-Accuracy Frequency and Phase Estimation of Single-Tone Based on Phase of DFT |
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| QI Guo-qing,JIA Xin-le.High-Accuracy Frequency and Phase Estimation of Single-Tone Based on Phase of DFT[J].Acta Electronica Sinica,2001,29(9):1164-1167. |
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| Authors: | QI Guo-qing JIA Xin-le |
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| Affiliation: | 1. Electronic and Information Engineering Dept.,Dalian Maritime University,Dalian,Liaoning 116026,China;2. Marine Engineering Institute,Dalian Maritime University,Dalian,Liaoning 116026,China |
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| Abstract: | A fast and accurate estimation technique of frequency and initial phase of singl e tone signal based on the phase of the DFT spectrum is proposed.To eliminate t he ambiguity in DFT phase measurement,the sampled data are divided into two segments and the DFT is applied on them individually,then the frequency and initial phase of the signal are estimated with the phase difference of the two DFT spectra at their maximum amplitude position.Computer simulation results show that the variance of frequency estimation is close to the Cramer Rao bound,and the SN R threshold is much lower than that of the ML estimators for moderate N (l ength of DFT).For SNR =6dB and N =1024,the RMS error of frequency estimati on is about 1% of the frequency resolution of the DFT,and the RMS error of the i nitial phase estimation is about 2 degrees.Formulas for evaluating the RMS error s of frequency and phase estimation in white Gaussian noise for different SNR and N are also presented,which fit well with computer simulation results. This technique has been used in FMCW level radar and 1mm range measurement accuracy has been achieved. |
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| Keywords: | frequency estimation phase estimation microwave ranging DFT |
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