基于最小二乘法的光纤法布里珀罗传感器相位校正解调算法

刘嘉静; 涂子维; 周次明; 范典

doi:doi:10.3788/gzxb20194809.0906004

光子学报, 2019, 48 (9): 0906004, 网络出版: 2019-10-12

基于最小二乘法的光纤法布里珀罗传感器相位校正解调算法

Algorithm of Phase Correction Based on Least Square Estimation for Optical Fiber FabryPerot Sensor

论文大纲

刘嘉静 ^1,2,*涂子维 ¹周次明 ^1,2范典 ^1,2

作者单位

¹ 武汉理工大学光纤传感技术国家工程实验室, 武汉 430070

² 武汉理工大学信息工程学院, 武汉 430070

摘要

为了提高光纤法布里珀罗传感器的解调精度和效率, 利用干涉光谱中的波峰计算出一系列光程差, 根据最小二乘法求出该组光程差中方差最小的解作为粗略解调结果, 并计算出光谱附加相位; 在光谱附加相位基础上进行校正, 得到补偿光程差, 两者之和为最终解调结果.仿真结果表明, 该算法的解调误差在±2.5 nm内.光纤法布里珀罗蓝宝石高温传感实验表明, 从室温升到1 000℃时, 该算法解调光程差精度为5.4 nm, 对应温度的精度为±0.36‰F.S., 同等条件下计算速度比FFTMMSE快400倍, 具有计算精度高, 计算速度快的优点.

Abstract

To improve the demodulation precision and efficiency of fiberoptic FabryPerot sensor, a series of optical path differences are calculated by using the peaks of the interference spectrum, and the rough demodulation result and the additional phase are obtained according to least square estimation such that the variance of the optical path differences is minimized. The spectral additional phase is corrected to obtain the compensated optical path difference .The final demodulation result is made up of the rough optical path difference and the compensation optical path difference. The simulation results show that the error of the algorithm is less than ±2.5 nm. The FabryPerot high temperature experiment results show that when the temperature is raised from room temperature to 1 000℃, the algorithm demodulates the optical path difference precision to 5.4 nm, the corresponding temperature precision is ±0.36‰F.S., and the average calculation speed is 400 times faster than that of FFTMMSE at the same condition. The algorithm is characterized by high precision and high calculating speed.

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刘嘉静, 涂子维, 周次明, 范典. 基于最小二乘法的光纤法布里珀罗传感器相位校正解调算法[J]. 光子学报, 2019, 48(9): 0906004. LIU Jiajing, TU Ziwei, ZHOU Ciming, FAN Dian. Algorithm of Phase Correction Based on Least Square Estimation for Optical Fiber FabryPerot Sensor[J]. ACTA PHOTONICA SINICA, 2019, 48(9): 0906004.

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