In a process for the sampling of an electric signal changing over time, an electron beam (12) is deflected laterally and linearly over time and at the same time modulated in its intensity according to the instantaneous amplitude of the electric signal. The electron beam (12) generates on a fluorescent screen (14) a brightness-modulated bar of light, which is preferably sampled with a sensor (15) arranged ahead of the fluorescent screen (14) in the form of a CCD line camera having a linear array of sensor elements (15a, b, c).The read-out analog sampled values of the sensor (15) are subsequently digitized and further processed.The advantage of the process is its high broad-bandedness and resolution and the capability of being able to carry out an averaging without additional expenditure of time.