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| Wavelet-Signal-Entrauschung (Soft Thresholding)× | Variationszerlegung (VMD)× | |
|---|---|---|
| Fachgebiet | Signalverarbeitung | Signalverarbeitung |
| Familie | Machine learning | Machine learning |
| Entstehungsjahr≠ | 1995 | 2014 |
| Urheber≠ | David Donoho | Konstantin Dragomiretskiy & Dominique Zosso |
| Typ≠ | Non-parametric signal estimation | Adaptive variational signal decomposition algorithm |
| Wegweisende Quelle≠ | Donoho, D. L. (1995). De-noising by soft-thresholding. IEEE Transactions on Information Theory, 41(3), 613–627. DOI ↗ | Dragomiretskiy, K., & Zosso, D. (2014). Variational mode decomposition. IEEE Transactions on Signal Processing, 62(3), 531–544. DOI ↗ |
| Aliasnamen | Wavelet Shrinkage, Donoho-Johnstone Denoising, Soft Thresholding Denoising, Sinyal Gürültü Giderme | VMD, Adaptive Signal Decomposition, Variational Signal Decomposition, Varyasyonel Mod Ayrıştırma |
| Verwandt≠ | 3 | 2 |
| Zusammenfassung≠ | Wavelet signal denoising, introduced by David Donoho in 1995, is a non-parametric technique that removes noise from one-dimensional or multidimensional signals by decomposing them into wavelet coefficients, suppressing small coefficients that likely represent noise via a soft-thresholding operator, and reconstructing a smooth estimate. It is widely used in biomedical signal processing, geophysics, audio engineering, and image analysis where the underlying signal is assumed to be sparse or piecewise smooth. | Variational Mode Decomposition (VMD) is a fully adaptive, non-recursive signal decomposition method introduced by Konstantin Dragomiretskiy and Dominique Zosso in 2014. It decomposes a real-valued input signal into a discrete number of sub-signals, called intrinsic mode functions (IMFs), each with a specific sparsity in the frequency domain. Unlike Empirical Mode Decomposition, VMD frames decomposition as a variational optimization problem solved via the Alternating Direction Method of Multipliers (ADMM), yielding robust and physically meaningful components. |
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