Research on a deconvolution algorithm for laser-induced fluorescence diagnosis based on the maximum entropy principle  

作　　者：雷清雲 杨雄 程谋森 张帆 郭大伟 李小康 肖文杰 Qingyun LEI;Xiong YANG;Mousen CHENG;Fan ZHANG;Dawei GUO;Xiaokang LI;Wenjie XIAO(National University of Defense Technology,Changsha 410073,People’s Republic of China;Bejing Institute of Tracking and Telecommunications Technology,Beijing 100094,People’s Republic of China)

机构地区：[1]National University of Defense Technology,Changsha 410073,People’s Republic of China [2]Bejing Institute of Tracking and Telecommunications Technology,Beijing 100094,People’s Republic of China

出　　处：《Plasma Science and Technology》2024年第7期93-107,共15页等离子体科学和技术（英文版）

摘　　要：Laser-induced fluorescence(LIF)spectroscopy is employed for plasma diagnosis,necessitating the utilization of deconvolution algorithms to isolate the Doppler effect from the raw spectral signal.However,direct deconvolution becomes invalid in the presence of noise as it leads to infinite amplification of high-frequency noise components.To address this issue,we propose a deconvolution algorithm based on the maximum entropy principle.We validate the effectiveness of the proposed algorithm by utilizing simulated LIF spectra at various noise levels(signal-to-noise ratio,SNR=20–80 d B)and measured LIF spectra with Xe as the working fluid.In the typical measured spectrum(SNR=26.23 d B)experiment,compared with the Gaussian filter and the Richardson–Lucy(R-L)algorithm,the proposed algorithm demonstrates an increase in SNR of 1.39 d B and 4.66 d B,respectively,along with a reduction in the root-meansquare error(RMSE)of 35%and 64%,respectively.Additionally,there is a decrease in the spectral angle(SA)of 0.05 and 0.11,respectively.In the high-quality spectrum(SNR=43.96 d B)experiment,the results show that the running time of the proposed algorithm is reduced by about98%compared with the R-L iterative algorithm.Moreover,the maximum entropy algorithm avoids parameter optimization settings and is more suitable for automatic implementation.In conclusion,the proposed algorithm can accurately resolve Doppler spectrum details while effectively suppressing noise,thus highlighting its advantage in LIF spectral deconvolution applications.

关 键 词：maximum entropy spectral deconvolution laser-induced fluorescence spectrum 

分 类 号：TN9[电子电信—信息与通信工程]