中国激光, 2018, 45 (1): 0106004, 网络出版: 2018-01-24
基于SFLA-LSSVM算法的多峰Brillouin散射谱的特征提取 下载: 631次
Feature Extraction of Multi-peak Brillouin Scattering Spectrum Based on SFLA-LSSVM Algorithm
散射 多峰Brillouin散射谱 混合蛙跳算法 最小二乘支持向量机 温度 拟合 scattering multi-peak Brillouin scattering spectrum shuffled frog leaping algorithm least squares support vector machine temperature fitting
摘要
提出了一种利用混合蛙跳算法(SFLA)优化最小二乘支持向量机(LSSVM)算法的混合优化算法, 并将其应用到多峰Brillouin散射谱的特征提取中。SFLA-LSSVM混合优化算法利用SFLA对LSSVM算法中的惩罚因子C和核函数中的核宽度σ进行寻优, 避免了LSSVM算法陷入局部最优导致的Brillouin频移误差较大。通过对相同信噪比、不同线宽以及相同线宽、不同信噪比2种情况下的多峰Brillouin散射谱仿真分析以及实验验证, 拟合适应度为0.0067, 拟合度为99.99%, Brillouin频移误差为0.18 MHz。实验结果表明SFLA-LSSVM混合优化算法能够精确地对多峰Brillouin散射谱进行拟合, 同时该算法具有拟合精度高、均方误差小、运行速度快的特点, 为多峰Brillouin散射谱的特征提取提供了一种新方法。
Abstract
A hybrid optimization algorithm based on shuffled frog leaping algorithm (SFLA) and least squares support vector machine (LSSVM) algorithm is proposed and applied to the feature extraction of multi-peak Brillouin scattering spectra. The penalty factor C and kernel width σ of kernel function in LSSVM algorithm are optimized by SFLA, which reduces the Brillouin frequency shift error caused by the local optimization. Multi-peak Brillouin scattering spectra in the same signal-to-noise with different line width and the same line width with different signal-to-noise ratio are presented by simulation analysis and experimental verification. The fitting fitness of the experimental data is 0.0067, the fitting degree is 99.99%, and the Brillouin frequency shift error is 0.18 MHz. The results show that the SFLA-LSSVM algorithm can precisely fit the multi-peak Brillouin scattering spectrum. The proposed algorithm has the advantages of high fitting precision, small mean square error and fast running speed. The SFLA-LSSVM algorithm is an effective fitting method in the feature extraction of multi-peak Brillouin scattering spectrum.
张燕君, 金培俊, 付兴虎, 张芳草, 侯姣茹, 徐金睿. 基于SFLA-LSSVM算法的多峰Brillouin散射谱的特征提取[J]. 中国激光, 2018, 45(1): 0106004. Zhang Yanjun, Jin Peijun, Fu Xinghu, Zhang Fangcao, Hou Jiaoru, Xu Jinrui. Feature Extraction of Multi-peak Brillouin Scattering Spectrum Based on SFLA-LSSVM Algorithm[J]. Chinese Journal of Lasers, 2018, 45(1): 0106004.