Pogány, T. Aliasing in the sampling restoration of non-band-limited homogeneous random fields. (English) Zbl 0881.60046 Math. Pannonica 8, No. 1, 155-164 (1997). Let \(\xi(x)\) be a non-band-limited homogeneous complex random field. A spectral representation of the multiple sampling cardinal series expansion for \(\xi(x)\) is established. Upper bounds are derived for the mean-square aliasing error and its structure is discussed. Reviewer: E.Csáki (Budapest) Cited in 2 Documents MSC: 60G60 Random fields 62M99 Inference from stochastic processes Keywords:homogeneous random fields; spectral representation; multiple Kotel’nikov-Shannon formula; aliasing error PDFBibTeX XMLCite \textit{T. Pogány}, Math. Pannonica 8, No. 1, 155--164 (1997; Zbl 0881.60046) Full Text: EuDML