Data analysis techniques

This pages 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

• Biorthogonal decomposition

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 analysis