The invention relates to a medical imaging system having a generation apparatus for continuous image data from successive examination images, having an encoding apparatus for the image data for the purpose of compression on the basis of the method of prediction, having an evaluation apparatus for physiological, periodic data for the purpose of determining the repetition rate thereof, and having a memory apparatus for the compressed image data, where the encoding apparatus is connected to the evaluation apparatus, which controls the latter such that the prediction is matched dynamically to the period length of the physiological data. The use of the information from the ECG signal, for example, for the purpose of compressing the original material provides a dynamic frame rate and also the opportunity to control the dependencies of the prediction such that a minimal memory requirement is obtained without loss of data.