Data analysis techniques: Difference between revisions
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This page collects information on data analysis techniques used in fusion research. | |||
== Temporal analysis == | |||
=== Linear analysis === | |||
* [[:Wikipedia:Correlation|Correlation]] analysis | |||
* [[:Wikipedia:Fourier transform|Fourier]] analysis | |||
* [[:Wikipedia:Wavelet|Wavelet]] analysis | |||
* Conditional analysis | |||
* Probability distribution, [[:Wikipedia:Cumulative distribution function|Cumulative distribution function]] (rank) | |||
=== Non-linear analysis === | |||
* [[Bicoherence]], bispectrum | |||
* Chaos analysis ([[:Wikipedia:Attractor|Strange attractor]], [[:Wikipedia:Fractal dimension|Fractal dimension]], [[:Wikipedia:Mutual information|Mutual information]], [[:Wikipedia:Lyapunov exponent|Lyapunov exponent]]) | |||
* [[:Wikipedia:Hilbert-Huang transform|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>[http://stacks.iop.org/0029-5515/51/053022 B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', Nucl. Fusion '''51''' (2011) 053022]</ref> | |||
=== Self-similarity === | |||
* [[:Wikipedia:Rescaled range|Rescaled range]] or [[:Wikipedia:Hurst exponent|Hurst]] analysis; Structure functions | |||
* Waiting times, quiet times <ref>[http://link.aps.org/doi/10.1103/PhysRevE.66.036124 R. Sánchez et al., ''Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime'', Phys. Rev. E '''66''', 036124 (2002)]</ref> | |||
== 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 | |||
* [[:Wikipedia:Optical flow|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]] | |||
== See also == | |||
[[Error propagation]] | |||
== References == | |||
<references /> | |||
Revision as of 10:46, 16 July 2011
This page collects information on data analysis techniques used in fusion research.
Temporal analysis
Linear analysis
- Correlation analysis
- Fourier analysis
- Wavelet analysis
- Conditional analysis
- Probability distribution, Cumulative distribution function (rank)
Non-linear analysis
- Bicoherence, bispectrum
- Chaos analysis (Strange attractor, Fractal dimension, Mutual information, Lyapunov exponent)
- Hilbert-Huang transform [1][2]
Self-similarity
- Rescaled range or Hurst analysis; Structure functions
- Waiting times, quiet times [3]
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.
See also
References
- ↑ N. Huang and S. Shen, Hilbert-Huang transform and its applications (World Scientific, London, 2005) ISBN 978-9812563767
- ↑ B.A. Carreras et al., Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer, Nucl. Fusion 51 (2011) 053022
- ↑ R. Sánchez et al., Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime, Phys. Rev. E 66, 036124 (2002)