Any measurement involves errors. Sampling theory asserts that a bounded-spectrum signal can be recovered without error from a series of instantaneous values measured with a step half the period of the highest frequency in that spectrum. This applies if the instantaneous values are measured exactly, but that requirement cannot be met. The paper evaluates the effects of measurement errors on the energy of the random component in the reconstructed form of a pulse signal. The error distribution over the orthogonality interval of the sinc functions is given, with those functions used in the reconstruction, and an evaluation is given for that part of the error that is distributed in a signal existence subinterval. Data are given from a numerical experiment.
展开▼