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Aliasing in the sampling restoration of non-band-limited homogeneous random fields. (English) Zbl 0881.60046

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.

MSC:

60G60 Random fields
62M99 Inference from stochastic processes
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