Publication: Detection of Patterns Within Randomness
Detection of Patterns Within Randomness
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Stoop, R., & Christen, M. (2010). Detection of Patterns Within Randomness. In M. Thiel, J. Kurths, M. C. Romano, A. Moura, & G. Károlyi (Eds.), Nonlinear Dynamics and Chaos. Advances and Perspectives (pp. 271–290). Springer. https://doi.org/10.1007/978-3-642-04629-2_12
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The identification of jittered regular signals (="patterns#) embedded in a noisy background is an important and difficult task, particularly in the neurosciences. Traditional methods generally fail to capture such signals. Staircase-like structures in the log–log correlation plot, however, are reliable indicators of such signal components.We provide a number of applications of this method and derive an analytic relationship between the length of the pattern n and the maximal number of steps s(n,m) that are observable at a chosen embed
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Stoop, R., & Christen, M. (2010). Detection of Patterns Within Randomness. In M. Thiel, J. Kurths, M. C. Romano, A. Moura, & G. Károlyi (Eds.), Nonlinear Dynamics and Chaos. Advances and Perspectives (pp. 271–290). Springer. https://doi.org/10.1007/978-3-642-04629-2_12