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A time-domain electromagnetic interference (TDEMI) measurement system allows to reduce the measurement time by several orders of magnitude in comparison with conventional systems. This will reduce the costs of compliance tests considerably. In this work, a novel multiresolution time-domain EMI (MRTDEMI) measurement system is presented. The MRTDEMI exhibits several channels with limiters, amplifiers and analog-to-digital converters (ADCs). The amplitude range of the signal is subdivided into several intervals. In each interval, the analog-to-digital conversion is performed with a discretisation proportional to the width of the interval. The signal-to-noise ratio (SNR) of the MRTDEMI measurement system compared with a conventional TDEMI measurement system for transient signals is enhanced by at least 50 dB. Measurements were performed in the frequency range from 30 MHz-1GHz.