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