Robust reconstruction of a signal from its unthresholded recurrence plot subject to disturbances

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• 作者：Aloys Sipers<sup>asup><sup> ; sup><sup>aloys.sipers@zuyd.nlsup> ; Paul Borm<sup>asup><sup> ; sup><sup>paul.borm@zuyd.nlsup> ; Ralf Peeters<sup>bsup><sup> ; sup><sup>ralf.peeters@maastrichtuniversity.nlsup>
• 关键词：Recurrence plot ; Graph theory ; Robust reconstruction ; Disturbances ; Singular value decomposition
• 刊名：Physics Letters A
• 出版年：2017
• 出版时间：12 February 2017
• 年：2017
• 卷：381
• 期：6
• 页码：604-615
• 全文大小：2016 K
• 卷排序：381

文摘

A recurrence plot is maximally informative if and only if the corresponding graph is connected. The diameter of the connected graph is always equals 1 or 2. The multi-level recurrence plot bridges the information gap between the unthresholded recurrence plot (URP) and the binary recurrence plot. If the graph is connected, then, with singular value decomposition a signal can be reconstructed from its URP in a numerically robust way.