Time series analysis during the releasing arrow stage

In this paper, during the releasing arrow stage, the relationship between the time series trajectory and the archery performance has been studied. With the aid of the high sampling rate 1200 frames/second of video camera, the time series aiming trajectory during the releasing stage can be captured for analysis, especially the releasing string motion. The linear time invariant auto-regressive exogenous (ARX) process is adopted to model the intended aiming trajectory before the releasing arrow stage. Then based on the model the estimated trajectory during the releasing arrow stage is evaluated as the reference, so its difference between the real one is the main focus in the paper. According to these discrepancies some key parameters are defined first, and the implementation of correlation approach can result in some significant relationships which can characterize his particular releasing string motion during this stage. For example, his releasing arrow trajectory always has an upper linear trend along the vertical direction, and the vertical deviation on the target plays more important role than the radial deviation.