Frame sequences and representations for samplable random processes

In this work characterize random signals which can be linearly determined by its discrete time samples, this problem is related to the question of the representation of random variables by means of a frame sequence. We study different representations for processes which are linearly determined by a frame sequence. This concerns the stable representation of continuous time processes by means of discrete samples. Finally, we study how these can be applied in reducing the effects of reconstructing a random signal from corrupted samples by additive noise.