Independent component analysis for beam measurements

Independent component analysis (ICA) has been used for data mining in many branches of science. In beam physics, ICA can be applied to analyze turn-by-turn beam position monitor data of beam motion. The narrow-band filtering of ICA provides us methods to identify and extract information on the linear betatron and synchrotron motion, effects of wake fields, etc. We show that the ICA is also a powerful tool to measure nonlinear magnetic field in accelerators. Numerical simulations are used to demonstrate the ability to obtain sextupole strengths at high precision. The methods can be extended to other higher order multipoles.

[1]  Phase advance and β function measurements using model-independent analysis , 2003 .

[2]  J. Niederer,et al.  The MAD program , 1983, Proceedings of the 1989 IEEE Particle Accelerator Conference, . 'Accelerator Science and Technology.

[3]  Philippe Garat,et al.  Blind separation of mixture of independent sources through a quasi-maximum likelihood approach , 1997, IEEE Trans. Signal Process..

[4]  J. Safranek,et al.  Experimental determination of storage ring optics using orbit response measurements , 1997 .

[5]  Eric Prebys,et al.  Application of independent component analysis to Fermilab Booster , 2005 .

[6]  Eric Moulines,et al.  A blind source separation technique using second-order statistics , 1997, IEEE Trans. Signal Process..

[7]  E. Oja,et al.  Independent Component Analysis , 2001 .

[8]  F. Schmidt,et al.  Driving term experiments at CERN , 2007 .

[9]  Aapo Hyvärinen,et al.  Fast and robust fixed-point algorithms for independent component analysis , 1999, IEEE Trans. Neural Networks.

[10]  F. Schmidt,et al.  Correction of multiple nonlinear resonances in storage rings , 2008 .

[11]  Chao,et al.  Experimental measurements of a betatron difference resonance. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  Richard A. Johnson,et al.  Applied Multivariate Statistical Analysis , 1983 .

[13]  S. Y. Lee,et al.  Accelerator Physics , 2019 .