by Nikolai V. Shokhirev

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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


 [Under Construction]

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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.
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©Nikolai Shokhirev, 2001-2009

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