A measurement system is provided that performs a trigger data acquisition algorithm. When the measurement system performs the trigger event data acquisition algorithm, it causes a preselected number of digital data samples acquired during a first time window that includes a trigger event and during a second time window that is specified by the user and that is subsequent in time to the first time window to be stored in memory. Digital data samples acquired after the end of the first time window and before the beginning of the second time window are not stored in memory. By not storing digital data samples acquired after the end of the first time window and before the beginning of the second time window, the possibility of overwriting samples that surround the trigger event is prevented and the memory is used very efficiently.