Time domain measurements are distorted by the measurement system if the bandwidth
of the system is not sufficiently high compared to that of the signal to be measured.
If the distortion is known the measured signal can be compensated for it (inverse
filtering or deconvolution), Since the measurement is always corrupted by noise, the
reconstruction is an estimation task, i.e., the reconstructed signal may vary depending
on the actual noise record. Our aim is to investigate the errors related to the signal
reconstruction, and to provide an error bound around the reconstructed time domain
waveform. Based on their nature rye can distinguish between systematic and stochastic
errors. In this paper, we investigate the stochastic type of errors and suggest a
method to calculate the uncertainty (variance) of the reconstruction. We developed
a method for the calibration of high-speed sampling systems. Both stationary and jitter
noises will be investigated.
