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分析比较了光纤布拉格光栅(FBG)传感解调系统的6种寻峰算法:蒙特卡罗(Monte Carlo)算法、直接比较法、二次插值数值微分法、一般多项式拟合法、多项式-高斯公式拟合法和高斯公式非线性曲线拟合法。通过分析算法理论误差,结合算法仿真和实验研究,给出了算法误差及相关影响因素。研究发现输入信号的信噪比与寻峰算法的算法误差呈线性关系,相同条件下,高斯公式非线性曲线拟合法获得的精度最高。在光纤布拉格光栅传感实验系统中,对于信噪比为40dB的输入信号,算法的寻峰精度可达到0.44pm。结果表明,算法输入信噪比是影响寻峰算法中算法误差的决定因素,寻峰算法中的最佳算法为高斯公式非线性曲线拟合法。
Six kinds of peak search algorithms of fiber Bragg grating FBG demodulation system are analyzed and compared: Monte Carlo, direct comparison, quadratic interpolation, general polynomial fitting, polynomial-Gaussian formula Fitting Method and Gauss Formula Nonlinear Curve Fitting Method. By analyzing the theoretical error of the algorithm, combined with the algorithm simulation and experimental research, the algorithm error and the related influencing factors are given. It is found that the signal-to-noise ratio of the input signal has a linear relationship with the algorithm error of the peak-finding algorithm. Under the same conditions, the nonlinear curve fitting method of Gaussian formula achieves the highest accuracy. In fiber Bragg grating sensing experiment system, the peak-seeking accuracy of the algorithm can reach 0.44pm for the input signal with signal-to-noise ratio of 40dB. The results show that the signal to noise ratio (SNR) is the determinant of the algorithm errors in the peak search algorithm. The best algorithm in the peak search algorithm is the Gauss formula nonlinear curve fitting method.