by Nikolai V. Shokhirev
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Basics of Indirect Measurements
- Introduction
- Measurements scheme
- Linear systems
- System parameters and Measured parameters
- Integral Form
- "Easy" solution
- Ill posed problems
- Model kernel
- Some conclusions
- Incomplete measurements
Singular Value Decomposition
- Introduction
- Notations
- Singular Value Decomposition
- Completeness of singular basis sets
- Formal solution
- Pseudo-inverse operator
- References
Analysis of accuracy and resolution
- Introduction
- Definitions
- 3D-space Example
- Mapping of Spaces
- Interpretation of Mapping
- Use of singular functions
- Experimental noise
- Reconstruction criterion
- Units of Information
- Accuracy and Resolution
- Reliable Reconstruction Region
- Accuracy and Interval of Measurements
- References
- Discretization
- Regularization
- Handling of infinities
- Weighted measurements
- Variable transformation
- Units of Information
- Accuracy
- Resolution
- Reliable Reconstruction Region
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