4,378
edits
Data analysis techniques: Difference between revisions
→Non-linear analysis
| (24 intermediate revisions by 5 users not shown) | |||
| Line 5: | Line 5: | ||
=== Linear analysis === | === Linear analysis === | ||
* Correlation | * [[:Wikipedia:Correlation|Correlation]] analysis | ||
* [[:Wikipedia:Fourier transform|Fourier]] analysis | * [[:Wikipedia:Fourier transform|Fourier]] analysis | ||
* [[:Wikipedia:Wavelet|Wavelet]] analysis | * [[:Wikipedia:Wavelet|Wavelet]] analysis | ||
* Conditional analysis | * Conditional analysis <ref>I. Teliban, D. Block, A. Piel and F. Greiner, ''Improved conditional averaging technique for plasma fluctuation diagnostics'', [[doi:10.1088/0741-3335/49/4/011|Plasma Phys. Control. Fusion '''49'''(2007) 485–497]]</ref> | ||
* Probability | * Probability distribution, [[:Wikipedia:Cumulative distribution function|Cumulative distribution function]] (rank) | ||
=== Non-linear analysis === | === Non-linear analysis === | ||
* [[ | * [[Bicoherence]], bispectrum | ||
* Chaos analysis ([[:Wikipedia:Attractor|Strange attractor]], [[:Wikipedia:Fractal dimension|Fractal dimension]], [[:Wikipedia:Mutual information|Mutual information]]) | * Chaos analysis ([[:Wikipedia:Attractor|Strange attractor]], [[:Wikipedia:Fractal dimension|Fractal dimension]], [[:Wikipedia:Mutual information|Mutual information]], [[:Wikipedia:Lyapunov exponent|Lyapunov exponent]], [[Intermittence]]) | ||
* [[:Wikipedia:Hilbert-Huang transform|Hilbert-Huang transform]] | * [[: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>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022|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>R. Sánchez et al., ''Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime'', [[doi:10.1103/PhysRevE.66.036124|Phys. Rev. E '''66''', 036124 (2002)]]</ref> | |||
=== Causality === | |||
* [[Causality detection]]<ref>B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011|Nucl. Fusion '''54''' (2014), 023011]]</ref>: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy | |||
== Spatial analysis == | == Spatial analysis == | ||
| Line 25: | Line 33: | ||
== Spatio-temporal analysis == | == Spatio-temporal analysis == | ||
* [[Biorthogonal decomposition]] | * [[Biorthogonal decomposition]] <ref>B.Ph. van Milligen, E. Sánchez, A. Alonso, M.A. Pedrosa, C. Hidalgo, A. Martín de Aguilera, A. López Fraguas, ''The use of the Biorthogonal Decomposition for the identification of zonal flows at TJ-II'', [[doi:10.1088/0741-3335/57/2/025005|Plasma Phys. Control. Fusion '''57''', 2 (2015) 025005]]</ref> | ||
== Image analysis == | == Image analysis == | ||
| Line 39: | Line 47: | ||
* [[Function parametrization]] | * [[Function parametrization]] | ||
* [[Bayesian data analysis]] | * [[Bayesian data analysis]] | ||
== See also == | |||
[[Error propagation]] | |||
== References == | |||
<references /> | |||