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Error propagation: Difference between revisions
→Fluctuations and noise
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However, when the physically interesting information is fluctuating, this signal-noise separation by frequency is not feasible, and much care is needed when analysing data. | However, when the physically interesting information is fluctuating, this signal-noise separation by frequency is not feasible, and much care is needed when analysing data. | ||
The application of a set of techniques is required to understand such signals (cross correlation, conditional averaging, spectral analysis, bi-spectral analysis, | The application of a set of techniques is required to understand such signals (cross correlation, conditional averaging, spectral analysis, bi-spectral analysis, | ||
<ref>J. van den Berg, ed., Wavelets in Physics (Cambridge University Press, 1999) ISBN 978-0521593113</ref> | <ref>J. van den Berg, ed., Wavelets in Physics (Cambridge University Press, 1999) ISBN 978-0521593113</ref>, [[Biorthogonal decomposition]], | ||
determination of fractal dimension, mutual information, reconstruction of chaotic attractor, | determination of fractal dimension, mutual information, reconstruction of chaotic attractor, | ||
<ref>[http://link.aps.org/doi/10.1103/RevModPhys.65.1331 H. Abarbanel, R. Brown, J. Sidorowich, and L. S. Tsimring, Rev. Mod. Phys. 65, 1331 (1993)]</ref> ...). | <ref>[http://link.aps.org/doi/10.1103/RevModPhys.65.1331 H. Abarbanel, R. Brown, J. Sidorowich, and L. S. Tsimring, Rev. Mod. Phys. 65, 1331 (1993)]</ref> ...). | ||
== Non-Gaussian statistics == | == Non-Gaussian statistics == | ||