Research on estimation of sine signal amplitude and initial phase

Abstract

Abstract: In the case of the known frequency, an algorithm based on cross-correlation function for estimating amplitude and initial phase is proposed, solving the problem of losing initial phase by using the autocorrelation function. SNR is improved using superposition without losing the source signal energy. Hence, the estimation accuracy is improved in the application. Simulation experimental results show that this method works well under the condition of the low SNR.

Key words: sine signal, cross-correlation function, amplitude, initial phase, low Signal Noise Ratio（SNR）

摘要： 在已知频率的情况下，提出了利用互相关函数估计正弦信号幅值与初相位算法，解决了使用自相关函数法估计幅值丢失相位信息问题。并利用叠加法在不损失源信号能量的情况下，提高了观测信号信噪比，从而提高了正弦信号估计精度。仿真实验结果表明，基于叠加的互相关函数法可在较低信噪比情况下以较高精度估计正弦信号的幅值和初相位。

关键词: 正弦信号, 互相关函数, 幅值, 初相位, 低信噪比

ZHANG Xiaowei, MENG Fanming. Research on estimation of sine signal amplitude and initial phase[J]. Computer Engineering and Applications, 2013, 49(5): 216-219.

张晓威，孟凡明. 正弦信号幅值和初相位估计的问题研究[J]. 计算机工程与应用, 2013, 49(5): 216-219.

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Research on estimation of sine signal amplitude and initial phase

正弦信号幅值和初相位估计的问题研究

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