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Comparison of Mode Selection and Reconstructions Obtained by DyCA and DMD with Respect to Noise Robustness and Sampling
Abstract
Dynamical Component Analysis (DyCA) and Dynamic Mode Decomposition (DMD), both data-driven dimension reduction methods, are introduced. After application to multivariate simulated signals the techniques of mode selection and the resulting amplitudes are compared with respect to noise robustness and sampling periods. The results indicate that DyCA is a useful alternative to DMD and outperforms DMD under certain conditions. These conditions are based on the underlying dynamics in the terms of differential equations and on the noise ratios of the signals.
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| Titel | Comparison of Mode Selection and Reconstructions Obtained by DyCA and DMD with Respect to Noise Robustness and Sampling |
|---|---|
| Medien | In: Aguiar, A.P., Rocha Malonek, P., Pinto, V.H., Fontes, F.A.C.C., Chertovskih, R. (eds) CONTROLO 2024. Lecture Notes in Electrical Engineering, Springer, Cham |
| Verlag | Springer, Cham |
| Herausgeber | Aguiar, A.P., Rocha Malonek, P., Pinto, V.H., Fontes, F.A.C.C., Chertovskih, R. |
| Band | 1325 |
| ISBN | 978-3-031-81724-3 |
| Verfasser | M.Sc. Annika Stiehl, Prof. Nicolas Weeger, Prof. Dr. Christian Uhl |
| Seiten | 247–257 |
| Veröffentlichungsdatum | 23.04.2025 |
| Projekttitel | DyCA |
| Zitation | Stiehl, Annika; Weeger, Nicolas; Uhl, Christian (2025): Comparison of Mode Selection and Reconstructions Obtained by DyCA and DMD with Respect to Noise Robustness and Sampling. In: Aguiar, A.P., Rocha Malonek, P., Pinto, V.H., Fontes, F.A.C.C., Chertovskih, R. (eds) CONTROLO 2024. Lecture Notes in Electrical Engineering, Springer, Cham 1325, 247–257. DOI: 10.1007/978-3-031-81724-3_23 |