中文摘要：

提出一种基于Fibonacci与最小均方差联合解调光纤法布里一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2．5mm；实验中，该算法腔长解调分辨率为0．15nm，对应的温度分辨率达0．03℃，解调时间少于0．03S，具有解调准确度高和运算速度快等优点．

英文摘要：

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 .