The spectral representation of the sampling cardinal series expansion (SCSE) of non-band-limited weakly stationary scalar and vector stochastic processes and their correlation functions are derived. The upper bound of the mean-square aliasing error is given for vector processes.
@article{urn:eudml:doc:39284, title = {On the spectral representation of the sampling cardinal series expansion of weakly stationary stochastic processes.}, journal = {Stochastica}, volume = {13}, year = {1992}, pages = {89-100}, zbl = {0770.60043}, mrnumber = {MR1197330}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39284} }
Pogány, Tibor; Perunicic, Predrag. On the spectral representation of the sampling cardinal series expansion of weakly stationary stochastic processes.. Stochastica, Tome 13 (1992) pp. 89-100. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39284/