An alternative to the geometric addition method for calculating the rise time of fast oscilloscopes and pulse generators
AbstractIn this paper, we propose a new method for calculating the rise time of pulse generators and oscilloscopes using a correction factor. This new method is advantageous over the well known geometric rule, also known as the root-sum-of-squares (RSS) rule, because its corresponding uncertainty contribution can be estimated, whereas the uncertainty assigned to the RSS method due to systematic error is typically unknown in any given measurement scenario. In our method, the correction factor is estimated from a large set of representative classical response functions. Furthermore, the systematic error caused by the time base distortion of sampling oscilloscopes is corrected in order to reduce the uncertainty of the calibration process.