光纤Fabry-Perot传感器的Fibonacci-MMSE联合解调算法

尹嘉笛; 周次明; 欧艺文; 李蒙蒙

doi:doi:10.3788/gzxb20154409.0906002

光子学报, 2015, 44 (9): 0906002, 网络出版: 2015-10-22

光纤Fabry-Perot传感器的Fibonacci-MMSE联合解调算法

Combined Algorithm of Fibonacci-MMSE for Optical Fiber Fabry-Perot Sensor

论文大纲

尹嘉笛 ^1,2,*周次明 ²欧艺文 ^1,2李蒙蒙 ^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 武汉理工大学光纤传感技术与信息处理教育部重点实验室, 武汉 430070

摘要

提出一种基于Fibonacci与最小均方差联合解调光纤法布里-珀罗传感器腔长的算法.利用Fibonacci搜索方法, 在一系列估计值中快速搜索到对应的最小均方差的数值, 并作为腔长解调结果.仿真分析了算法迭代次数与解调准确度之间的关系并进行温度测量实验.结果表明, 该算法的理论平均解调误差小于2×10－5 pm, 与实际腔长的拟合度优于0.9999, 解调动态范围可达2.5 mm；实验中, 该算法腔长解调分辨率为0.15 nm, 对应的温度分辨率达0.03℃, 解调时间少于0.03 s, 具有解调准确度高和运算速度快等优点.

Abstract

A combined algorithm of minimum mean square error estimation and Fibonacci method for fiber Fabry-Perot interferometer was proposed. This united algorithm uses the Fibonacci method to quickly search a series of cavity length estimators and finds the one as demodulation gap which corresponds to the minimum mean square error value. The relationship between iteration number and demodulation accuracy was analyzed by simulation, and a temperature measurement experiment was carried out. The results show that, the average error of this algorithm is less than 2×10－5 pm theoretically, linear fit of actual cavity length is above 0.999 9, and dynamic range is up to 2.5 mm. In the experiment, the resolution of algorithm is 0.15 nm, corresponding to a temperature resolution of 0.03℃ with quick demodulation time 0.03 s, both high resolution and fast demodulation speed can be achieved.

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尹嘉笛, 周次明, 欧艺文, 李蒙蒙. 光纤Fabry-Perot传感器的Fibonacci-MMSE联合解调算法[J]. 光子学报, 2015, 44(9): 0906002. YIN Jia-di, ZHOU Ci-ming, OU Yi-wen, LI Meng-meng. Combined Algorithm of Fibonacci-MMSE for Optical Fiber Fabry-Perot Sensor[J]. ACTA PHOTONICA SINICA, 2015, 44(9): 0906002.

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