Extension of a finite version of the sampling theorem

The present paper approaches a multichannel sampling scheme, and provides a generalized sampling expansion for two-dimensional, bandlimited, not necessarily orthogonally periodic signals. It is shown that the signal can be reconstructed from a number of sampling points equal to the number of its harmonic components. The sampling density can be decreased in the multichannel approach with respect to the one-channel approach. One- and two-dimensional special cases are considered.<
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