The estimation of undersampled signals in aliased noise: Implications for a sampling strategy

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Michael B. Matthews
Monterey Bay Aquarium Research Institute

Wednesday, November 18, 1998
3:00 p.m.—Pacific Forum

Aliasing is the phenomenon in which anomalous frequency components are generated in the reconstruction of an undersampled signal. In general, insufficient resources exist to sample the ocean in a manner sufficient to prevent aliasing. In view of this situation, how can we effectively exploit the information content in an aliased signal?

We consider the problem of linearly estimating a stationary signal in additive noise where significant aliasing occurs. We present a solution in the form of an aliased version of the well-known Wiener filter, and we discuss the implications of this theory for choosing optimal sampling strategies.

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