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Data analysis techniques: Difference between revisions
→Non-linear analysis
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* [[: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 distribution, [[:Wikipedia:Cumulative distribution function|Cumulative distribution function]] (rank) | * Probability distribution, [[:Wikipedia:Cumulative distribution function|Cumulative distribution function]] (rank) | ||
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* [[Bicoherence]], bispectrum | * [[Bicoherence]], bispectrum | ||
* Chaos analysis ([[:Wikipedia:Attractor|Strange attractor]], [[:Wikipedia:Fractal dimension|Fractal dimension]], [[:Wikipedia:Mutual information|Mutual information]], [[:Wikipedia:Lyapunov exponent|Lyapunov exponent]]) | * 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]] <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 | * [[: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 === | === Self-similarity === | ||
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* [[:Wikipedia:Rescaled range|Rescaled range]] or [[:Wikipedia:Hurst exponent|Hurst]] analysis; Structure functions | * [[: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> | * 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 == | ||