by Nikolai V. Shokhirev

Implementation

Indirect Measurements

Basics of Indirect Measurements

Singular Value Decomposition

Analysis of accuracy and resolution

Implementation

• Introduction
• Discretization
• Regularization
• Handling of infinities 
• Weighted measurements
• Variable transformation
• Units of Information
• Accuracy
• Resolution
• Reliable Reconstruction Region

 

Introduction

     

Discretization

 

Regularization

Handling of infinities 

Weighted measurements

Variable transformation

Units of Information

Accuracy

Resolution

Reliable Reconstruction Region

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 Introduction

References

1. V.S.Bashurova, K.P.Koutsenogii, A.Yu.Pusep, N.V.Shokhirev. Determination of atmospheric aerosol size distribution functions from screen diffusion battery data: Mathematical aspects. J.Aerosol Sci., v.22, p.373-388, 1991.
2. A.Yu.Pusep, V.S.Bashurova, N.V.Shokhirev A.I.Burshtein. The development of the software for NMR-tomography of underground water. Tech. Report of the Institute of Chemical Kinetics and Combustion. Academy of Sciences of the USSR, Novosibirsk, 1991.
3. N.V.Shokhirev, L.A.Rapatskii, A.M.Raitsimring. Electron-ion pair distribution function reconstructed from radiation-chemical and photochemical experiments. Chem.Phys., v.105, p.117-126, 1986.
4. A.Yu.Pusep, N.V.Shokhirev. Determination of particle-size distribution functions in aerosols from measurements by diffusion batteries. Colloid J., v.48, p.108-113, 1986.
5. N.V.Shokhirev, V.V.Konovalov, A.Yu.Pusep, and A.M.Raitsimring. Recovering the e-aq distribution in Photoemission. Theor.Exper.Chem., v.20, p.316-321, 1984.
6. A.Yu.Pusep, N.V.Shokhirev. Application of a singular expansion for analyzing spectroscopic inverse problems. Opt.Spectrosc., v.57, p.482-486, 1984.

©Nikolai Shokhirev, 2001-2009

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