基于双时域傅里叶变换的相位测量算法

提出了一种双时域傅里叶变换相位提取算法。通过把一段具有两个干涉周期的时域光强信号分成多段一个周期的子段，通过两次使用傅里叶变换把相移器引入的相移频率和其他干扰频率分离出来，模拟和实验结果都证明了该算法在不提高系统复杂性和大幅度减少数据获取量的前提下显著提高了系统抗干扰能力，该方法从采集到待测物体相位的提取，完全无须人工干预，有利于实现自动化。

Phase measurement algorithm based on double time domain Fourier transform

In order to accurately extract the phase of the measured object in a vibrating environment,a phase extraction algorithm based on double time domain Fourier transform is proposed.A time domain light intensity signal with two interference periods is divided into several sub-segments with one period.The phase shift frequency introduced by phase shifter and other interference frequencies are separated by carrying out Fourier transform twice.Simulation and experimental results show that the algorithm significantly improves the system's ability to resist interference under the premise of not improving the system complexity and greatly reducing the data acquisition amount.Compared with the traditional four step phase shift algorithm under the ideal condition,the root mean square error of the measurement can reach 0.062 rad.The proposed method is without manual intervention from acquisition to phase extraction of the measured object,which is conducive to the realization of automation.