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@inproceedings{lauterbach:ipac2021-mopab215, author = {A. Lauterbach and G. Franchetti}, title = {{Using ICA for Retrieving Teng Parameters}}, booktitle = {Proc. IPAC'21}, pages = {711--714}, eid = {MOPAB215}, language = {english}, keywords = {GUI, coupling, factory, optics, FEL}, venue = {Campinas, SP, Brazil}, series = {International Particle Accelerator Conference}, number = {12}, publisher = {JACoW Publishing, Geneva, Switzerland}, month = {08}, year = {2021}, issn = {2673-5490}, isbn = {978-3-95450-214-1}, doi = {10.18429/JACoW-IPAC2021-MOPAB215}, url = {https://jacow.org/ipac2021/papers/mopab215.pdf}, note = {https://doi.org/10.18429/JACoW-IPAC2021-MOPAB215}, abstract = {{The blind source separation (BSS) method of Independent Component Analysis (ICA) is explored as a new approach for the reconstruction of the transfer matrix of Linear Coupling Parameterization. ICA is a method to detangle independent signals out of several measurements of their mixtures. In BSS-calculations, it is usually not possible to retrieve the mixing matrix, for the source signals, as well as the matrix, are unknown. Combining the parameterization model of D.A. Edwards and L.C. Teng with the standard ICA approach, it is though possible to retrieve the mixing matrix, as the form of the original uncoupled motion is known. At the same time arises the possibility to recalculate the parameters of Edwards and Teng through a system of equations of the one turn map components. It can be shown as a proof of concept, that the parameters can be reconstructed up to high accuracy for a simulated, non-perturbed signal.}}, }