Application of independent component analysis to Fermilab Booster

Autocorrelation is applied to analyze sets of finite-sampling data such as the turn-by-turn beam position monitor (BPM) data in an accelerator. This method of data analysis, called the independent component analysis (ICA), is shown to be a powerful beam diagnosis tool for being able to decompose sampled signals into its underlying source signals. They find that the ICA has an advantage over the principle component analysis (PCA) used in the model-independent analysis (MIA) in isolating independent modes. The tolerance of the ICA method to noise in the BPM system is systematically studied. The ICA is applied to analyze the complicated beam motion in a rapid-cycling booster synchrotron at the Fermilab. Difficulties and limitations of the ICA method are also discussed.

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

[2]  Frank Zimmermann,et al.  Model-Independent Beam Dynamics Analysis , 1999 .

[3]  Chao,et al.  Effects of the synchro-betatron coupling induced by dipole-field modulation. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  Chao,et al.  Experimental measurement of resonance islands induced by rf voltage modulation. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[6]  Andrzej Cichocki,et al.  Second Order Nonstationary Source Separation , 2002, J. VLSI Signal Process..

[7]  Antoine Souloumiac,et al.  Jacobi Angles for Simultaneous Diagonalization , 1996, SIAM J. Matrix Anal. Appl..

[8]  Erkki Oja,et al.  Independent Component Analysis , 2001 .

[9]  Chao,et al.  Experimental study of synchro-betatron coupling induced by dipole modulation. , 1993, Physical review letters.

[10]  A. Cichocki,et al.  Robust whitening procedure in blind source separation context , 2000 .

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

[12]  Chao,et al.  Experimental determination of the Hamiltonian for synchrotron motion with rf phase modulation. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  Jacques Laskar,et al.  Frequency analysis for multi-dimensional systems: global dynamics and diffusion , 1993 .

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

[15]  Andrew G. Glen,et al.  APPL , 2001 .

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

[17]  Chao,et al.  Experimental determination of a nonlinear Hamiltonian in a synchrotron. , 1991, Physical review letters.

[18]  Pradeep Mitra Ecspe,et al.  REPORT NO , 2001 .

[19]  Lee.  Single particle dynamics at synchro-betatron coupling resonances. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  Chao,et al.  Experimental studies of nonlinear beam dynamics. , 1992, Physical review. A, Atomic, molecular, and optical physics.