Contribution to a conference proceedings/Contribution to a book

GSI-2025-00453

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Using ICA for Retrieving Teng Parameters

Lauterbach, A. (Corresponding author) ; Franchetti, G.GSI* ; Lin, L. (Editor) ; Byrd, J. M. (Editor) ; Neuenschwander, R. (Editor) ; Picoreti, R. (Editor) ; Schaa, V. R. W. (Editor)

2021
JACoW Publishing Geneva, Switzerland

Please use a persistent id in citations: doi:10.18429/JACOW-IPAC2021-MOPAB215  doi:10.15120/GSI-2025-00453

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.

Keyword(s): Accelerator Physics ; MC5: Beam Dynamics and EM Fields

Note: Published by JACoW Publishing under the terms of the Creative Commons Attribution 3.0 International license.

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Contributing Institute(s):

1. Speicherringe (STR)

Research Program(s):

1. 899 - ohne Topic (POF4-899) (POF4-899)

Experiment(s):

1. no experiment theory work (theory)

Appears in the scientific report 2021

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