基于改进正交匹配追踪的FBG传感信号处理方法

FBG signal processing method with improved orthogonal matching pursuit

摘要:

针对光纤布拉格光栅（Fiber Bragg grating，FBG）传感信号易受外界噪声干扰从而导致信号丢失的问题，本文提出了一种改进型正交匹配追踪（Orthogonal Matching Pursuit, OMP）算法。围绕FBG传感信号波长随应力漂移的本质特征，在压缩感知理论的框架下，通过去除稀疏系数中的虚部，并利用指数饱和法对非零元素进行拟合与排序，从而获取FBG信号的有效稀疏度。在此基础上，通过改进经典OMP算法迭代过程中的原子选择策略与终止条件，有效降低算法复杂度并提高信号的重构精度。对比实验结果表明，所提出算法在时间复杂度、信噪比与信号重构精度等方面均具有更突出的优势。

Abstract:

In this paper, an improved orthogonal matching pursuit (OMP) algorithm is proposed to solve signal loss problem of the Fiber Bragg grating (FBG) sensing signal with external disturbances. In the framework of compressive sensing theory, the effective sparsity of FBG signal is obtained by removing the imaginary part of sparsity coefficient and applying exponential fitting for the ordered nonzero elements. Moreover, the traditional OMP iteration algorithm is improved by changing the atoms selection strategy and adding the termination condition, which can not only decrease the complexity of algorithm but also develop the reconstruction accuracy. The results of comparison experiment demonstrate that the proposed algorithm has the outstanding advantage on the time complexity, Signal Noise Ratio (SNR) and reconstruction precision.