Bunch by bunch measurement at the HEPS by oscilloscope

By directly sampling the BPM signals with a high sampling rate oscilloscope, the bunch-by-bunch position and phase were calculated. With the help of injection trigger signal, oscilloscope was utilized to capture the injection process. The energy mismatch of the injection transient process and the residual oscillation of the injection bunch were studied. The longitudinal tune and oscillation amplitudes can be inferred. The bunch-by-bunch transverse position and longitudinal phase were analyzed by principal component analysis (PCA). The method also can be used to study the instability of the coupled bunches.