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

### 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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