Sampling-Reconstruction Procedure of Gaussian processes with two jitter sources

The interest of this work is to consider the Sampling-Reconstruction Procedure of Gaussian processes with jitter. The jitter is analysed with different distribution functions taking into account two error sources. We analize the cases when the correlation exists between the jitter of each sample or between jitter sources. The investigation method is based on the conditional mean role. The optimal error reconstruction functions are calculated in the domain of the time for some non trivial examples when the type of covariance function of the given process and jitter distribution are change.