一种基于希尔伯特变换的相位差测量方法

Measuring Method for Phase Difference Based on Hilbert Transform

文章研究了一种基于希尔伯特变换的相位差测量方法,利用希尔伯特变换对信号有90度的相移这一特性,再通过简单的数学运算,得出只关于相位角的时间函数,能够检测出两路正弦信号的相位差,分别讨论了信号的A/D量化位数,信噪比,采样频率对测量结果的影响,同时也给出了该方法对随时间变化的相位差的测量结果,结果证明了该方法能够很好的实现相位差的动态测量。

A new method of phase difference measurement based on Hilbert transposition is introduced in this paper, Because Hilbert transposition has the trait to delay 90 degree of signal, we can acquire time function of phase after some simple operation and measure the phase difference of two sinusoid signal. Number of ADC quantization bits, signat-to-Noise Ratio and sampled frequency which influence precision of phase difference measurement are particularly discussed and analyzed .and give the results of this method which measure time varying phase difference, the results prove that this method is good for measuring time varying phase difference.