正弦信号参数估计中的采样率选择研究
doi: 10.3724/SP.J.1146.2006.00333
On the Parameter Estimation of Sinusoidal Signal
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摘要: 该文从带通采样定理出发,分析了欠采样后利用FFT估得的正弦信号参数(频率和初相)与真实值之间的关系,并对欠采样下基于相位差分法的参数估计的误差进行了严格的推导。研究表明频率估计的误差在采样点数确定时正比于采样率,而初相估计的误差则不受采样率的影响。计算机仿真的结果证明了理论推导的正确性。Abstract: This paper utilizes FFT after undersampling to analyze the relationship between the estimation of sinusoidal parameters and corresponding actual values on the basis of bandpass sampling theorem. In addition, the errors of parameter estimation using phase difference are deduced strictly. Investigation indicates that the error of frequency estimation is proportional to the sampling rate, while that of initial phase independent of it. The results of computer simulation show the validity of academic conclusions.
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