Data analysis techniques
This page collects information on data analysis techniques used in fusion research.
Temporal analysis
Linear analysis
- Correlation
- Fourier analysis
- Wavelet analysis
- Conditional analysis
- Probability distributions
- Rescaled range or Hurst analysis; Structure functions
Non-linear analysis
- Bicoherence analysis
- Chaos analysis (attractors, fractional dimensions)
- Hilbert-Huang transform
Spatial analysis
Most of the techniques listed under 'temporal analysis' can of course be applied to spatial data.
- Tomography (cf. TJ-II:Tomography)
Spatio-temporal analysis
Image analysis
- Twodimensional Fourier analysis
- Twodimensional wavelet analysis
- Event detection using thresholding
- Optical flow (for movies)
Integrated data analysis
The goal of integrated data analysis is to combine the information from a set of diagnostics providing complementary information in order to recover the best possible reconstruction of the actual state of the system subjected to measurement.
- Function parametrization
- Bayesian data analysis [1][2]
References
- ↑ R. Fischer, A. Dinklage, Integrated data analysis of fusion diagnostics by means of the Bayesian probability theory, Rev. Sci. Instrum. 75 (2004) 4237
- ↑ J. Svensson, A. Werner, Large Scale Bayesian Data Analysis for Nuclear Fusion Experiments, IEEE International Symposium on Intelligent Signal Processing (2007) 1