The online bunch-by-bunch position monitor has been
established through the utilization of a high-speed
analog-to-digital converter, synchronized meticulously with the
accelerator's radio frequency. This implementation serves the
purpose of refining the alignment of the four injection kickers. A
substantial volume of data needs to be managed when dealing with the
motion of the bunches. To untangle the intricacies of bunch motion,
an independent component analysis has been employed. This method
efficiently segregates the bunch motion into discrete sources. The
resulting bunch motion is a direct outcome of the linear combination
of these distinct sources. Consequently, this approach significantly
simplifies the overarching data analysis procedure. Throughout the
injection phase, the predominant factors influencing the oscillation
of filled bunches originate from three distinct sources. Firstly,
there is a contribution arising from the mismatch among the four
kickers during their activation period. Additionally, the damped
betatron oscillation and the oscillation generated by wake fields
constitute the other sources of bunch motion. To comprehend the tune
variation in these sources, an examination is conducted through a
numerical analysis of fundamental frequencies. Specifically, the
tune associated with the betatron oscillation is contingent upon the
amplitude of said oscillation. In contrast, the tune corresponding
to the wake-field oscillation displays comparably minor fluctuations
during both the growing and damping phases.