Noise and offset in the IIR filtering of event-based sampled data

We investigate the impact of additive noise and uncertainty on levels (offset) on the filtering of level-crossing sampled data. We therefore suppose that either the signal of the levels are affected by an error following a normal distribution with zero mean. The errors are then analyzed in terms of the standard deviation of the normal distribution. For the illustrations an IIR filter, namely Butterworth, is used, but the results have a wider range of applications.