<p>This study started in February 2013 at the Collider-Accelerator Department of BNL. During the&nbsp;study the technique of independent component analysis (ICA) was first introduced to RHIC for a&nbsp;systematic estimation of RHIC BPM noise performance and turn-by-turn (TBT) beam position monitor&nbsp;(BPM) data based optics measure- ment. The beta-beat response matrix based global correction scheme&nbsp;and the method of arc beta-beat correction using horizontal closed orbit at sextupoles were&nbsp;developed for RHIC. These techniques were successfully demonstrated in two beam experiments with a&nbsp;</p><p>total of 4 hours' beam time. In the meantime various software packages were developed to facilitate the beam experiments and future studies.</p><p><br></p>
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