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whenxuan: update the readme
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‎README.md‎

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`PySDKit` is still under development. We are currently working on reproducing the signal decomposition algorithms in the table below, including not only common decomposition algorithms for `univariate signals` such as EMD, VMD, OVMD, AVNCMD, ALIF and APMD, but also decomposition algorithms for `multivariate signals` such as MEMD and MVMD. We will also further reproduce the decomposition algorithms for `two-dimensional images` to make PySDKit not only suitable for signal processing, but also for image analysis and understanding. See [`Mission`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/README.md) for the reasons why we developed PySDKit.
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| Algorithm | Paper | Code | State |
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| Algorithm | Paper | Source | State |
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| :----------------------------------------------------------: | :----------------------------------------------------------: | :----------------------------------------------------------: | :---: |
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| [`EMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_emd/emd.py) (Empirical Mode Decomposition) | [[paper]](https://royalsocietypublishing.org/doi/abs/10.1098/rspa.1998.0193) | [[code]](https://www.mathworks.com/help/signal/ref/emd.html) | ✔️ |
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| [`MEMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_emd/memd.py) (Multivariate Empirical Mode Decomposition) | [[paper]](https://royalsocietypublishing.org/doi/full/10.1098/rspa.2009.0502) | [[code]](https://www.mathworks.com/matlabcentral/fileexchange/71270-fast-and-adaptive-multivariate-and-multidimensional-emd) | ✔️ |
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| [`AVNCMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_vncmd/avncmd.py) (Adaptive Variational Nonlinear Chirp Mode Decomposition) | [[paper]](https://ieeexplore.ieee.org/abstract/document/9746147) | [[code]](https://github.com/HauLiang/AVNCMD) | ✔️ |
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| [`ACMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_vmd/acmd.py) (Adaptive Chirp Mode Decomposition) | [[paper]]() | [[code]](https://www.mathworks.com/matlabcentral/fileexchange/121373-data-driven-adaptive-chirp-mode-decomposition?s_tid=srchtitle) | ✔️ |
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| [`BA-ACMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_vmd/ba_acmd.py) (Bandwidth-aware adaptive chirp mode decomposition) | [[paper]](https://journals.sagepub.com/doi/abs/10.1177/14759217231174699) | [[code]](https://www.mathworks.com/matlabcentral/fileexchange/132792-bandwidth-aware-adaptive-chirp-mode-decomposition-ba-acmd?s_tid=srchtitle) | ✖️ |
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| [`GDMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_gdmd/gdmd.py) (Generalized Dispersion Mode Decomposition) | [[paper]](https://www.sciencedirect.com/science/article/pii/S0022460X20306295) | [[code]](https://www.sciencedirect.com/science/article/pii/S0022460X20306295) | ✔️ |
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| [`VGNMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_gdmd/vgnmd.py) (Variational Generalized Nonlinear Mode Decomposition) | [[paper]](https://www.sciencedirect.com/science/article/pii/S088832702300821X) | [[code]](https://www.mathworks.com/matlabcentral/fileexchange/154792-variational-generalized-nonlinear-mode-decomposition-vgmnd) | ✔️ |
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| [`IVGNMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_gdmd/ivgnmd.py) (Improved Variational Generalized Nonlinear Mode Decomposition) | [[paper]](https://www.sciencedirect.com/science/article/pii/S0888327025001086) | [[code]](https://www.mathworks.com/matlabcentral/fileexchange/180043-improved-vgnmd) | ✔️ |
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| [`AGNCMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_gdmd/agncmd.py) (Adaptive Generalized Dispersive Mode Decomposition) | [[paper]](https://www.sciencedirect.com/science/article/pii/S0022460X25004031) | [[code]](https://www.mathworks.com/matlabcentral/fileexchange/181499-adaptive-generalized-dispersive-mode-decomposition-agdmd) | ✔️ |
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| [`JMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_jmd/jmd.py) (Jump Plus AM-FM Mode Decomposition) | [[paper]](https://arxiv.org/abs/2407.07800) | [[code]](https://www.mathworks.com/matlabcentral/fileexchange/169388-jump-plus-am-fm-mode-decomposition-jmd?s_tid=prof_contriblnk) | ️✔️ |
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| [`MJMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_jmd/mjmd.py) (Multivariate Jump Plus AM-FM Mode Decomposition) | [[paper]](https://arxiv.org/abs/2407.07800) | [[code]](https://www.mathworks.com/matlabcentral/fileexchange/169393-multivariate-jump-plus-am-fm-mode-decomposition-mjmd?s_tid=prof_contriblnk) | ✔️ |
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| [`SJMD`](https://github.com/wwhenxuan/PySDKit/blob/main/pysdkit/_jmd/sjmd.py) / `SMJMD` (Successive Jump and Mode Decomposition) | [[paper]](https://arxiv.org/abs/2504.08453) | [[code]]() | ✔️ |

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