The non-negative truncated singular value decomposition for adaptive sampling of particle size distribution in dynamic light scattering inversion

2020 ◽  
Vol 246 ◽  
pp. 106917 ◽  
Author(s):  
Xi Yuan ◽  
Zhenming Liu ◽  
Yajing Wang ◽  
Yanan Xu ◽  
Wenwen Zhang ◽  
...  
Keyword(s):  
Particle Size ◽  
Light Scattering ◽  
Dynamic Light Scattering ◽  
Singular Value Decomposition ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Adaptive Sampling ◽  
Singular Value ◽  
Truncated Singular Value Decomposition ◽  
Value Decomposition

scholarly journals Observation and Inversion of Aerosol Particle Size Distribution over Yinchuan Area

Atmosphere ◽  
2021 ◽  
Vol 12 (8) ◽  
pp. 992
Author(s):  
Jiandong Mao ◽  
Yali Ren ◽  
Juan Li ◽  
Qiang Wang ◽  
Yi Zhang
Keyword(s):  
Particle Size ◽  
Singular Value Decomposition ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Aerosol Optical Depth ◽  
Optical Depth ◽  
Singular Value ◽  
Truncated Singular Value Decomposition ◽  
Regularization Algorithm ◽  
Value Decomposition

Particle size distribution is one of the important microphysical parameters to characterize the aerosol properties. The aerosol optical depth is used as the function of wavelength to study the particle size distribution of whole atmospheric column. However, the inversion equation of the particle size distribution from the aerosol optical depth belongs to the Fredholm integral equation of the first kind, which is usually ill-conditioned. To overcome this drawback, the integral equation is first discretized directly by using the complex trapezoid formula. Then, the corresponding parameters are selected by the L curve method. Finally the truncated singular value decomposition regularization method is employed to regularize the discrete equation and retrieve the particle size distribution. To verify the feasibility of the algorithm, the aerosol optical depths taken by a sun photometer CE318 over Yinchuan area in four seasons, as well as hazy, sunny, floating dusty and blowing dusty days, were used to retrieve the particle size distribution. In order to verify the effect of truncated singular value decomposition algorithm, the Tikhonov regularization algorithm was also adopted to retrieve the aerosol PSD. By comparing the errors of the two regularizations, the truncated singular value decomposition regularization algorithm has a better retrieval effect. Moreover, to understand intuitively the sources of aerosol particles, the backward trajectory was used to track the source. The experiment results show that the truncated singular value decomposition regularization method is an effective method to retrieve the particle size distribution from aerosol optical depth.

A Hybrid Non-Negative Inversion of Dynamic Light Scattering Based on Truncated Singular Value Decomposition

2013 ◽  
Vol 40 (6) ◽  
pp. 0608001
Author(s):  
窦震海 Dou Zhenhai ◽  
王雅静 Wang Yajing ◽  
申晋 Shen Jin ◽  
刘伟 Liu Wei ◽  
高珊珊 Gao Shanshan
Keyword(s):  
Light Scattering ◽  
Dynamic Light Scattering ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Truncated Singular Value Decomposition ◽  
Value Decomposition

Truncated Singular Value Decomposition Inversion Based on Extended Nuclear Matrix in Dynamic Light Scattering

2018 ◽  
Vol 47 (7) ◽  
pp. 729001
Author(s):  
黄钰 HUANG Yu ◽  
申晋 SHEN Jin ◽  
徐敏 XU Min ◽  
孙成 SUN Cheng ◽  
刘伟 LIU Wei ◽  
...  
Keyword(s):  
Light Scattering ◽  
Dynamic Light Scattering ◽  
Singular Value Decomposition ◽  
Nuclear Matrix ◽  
Singular Value ◽  
Truncated Singular Value Decomposition ◽  
Value Decomposition
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