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针对现有光栅光谱解调方式所需数据量较大不利于数据传输及处理的现状,应用压缩感知算法通过少量光谱数据采集实现高精度光栅光谱的重构。选取可调谐法布里-珀罗(F-P)滤波器解调方式(TFPDA)作为参照并以布拉格光栅(FBG)及线性啁啾布拉格光栅(LCFBG)作为研究对象,构建实验平台验证压缩感知算法光谱重构的可行性。通过TFPDA采集及压缩感知算法重构不同温度下的光纤光栅光谱并通过高斯非线性算法拟合得FBG中心波长。实验数据表明通过压缩感知采集得FBG温度敏感系数为20.3pm/℃,与TFPDA的相对误差为0.5%。对比此两种方法所得LCFBG光谱,其3dB带宽内的最大相对误差为1.03%,中心波长处为0.69%。上述实验结果证实压缩感知算法在光栅光谱采集重构方面具有一定的应用价值。
Aiming at the situation that the amount of data required by the existing grating spectral demodulation method is not conducive to data transmission and processing, the compressed sensing algorithm is used to reconstruct high-precision grating spectra with a small amount of spectral data acquisition. The tunable Fabry-Perot (FP) filter demodulation method (TFPDA) was selected as the reference and the Bragg grating (FBG) and linear chirped Bragg grating (LCFBG) were selected as the research object to construct the experimental platform to verify the compressed sensing algorithm spectrum The feasibility of reconstruction. The fiber grating spectra at different temperatures were reconstructed by TFPDA acquisition and compression sensing algorithm and the center wavelength of FBG was fitted by Gaussian nonlinear algorithm. The experimental data show that the temperature sensitivity coefficient of FBG collected by compressive sensing is 20.3pm / ℃, and the relative error with TFPDA is 0.5%. Comparing the LCFBG spectra obtained by these two methods, the maximum relative error within the 3dB bandwidth is 1.03% and the center wavelength is 0.69%. The above experimental results confirm that compressive sensing algorithm has certain value in spectral grating reconstruction.