Sampling theorems in spaces of variable bandwidth generated via Wilson basis

Beatrice Andreolli, Karlheinz Gröchenig

Abstract: We propose a new sampling theorem, the complete reconstruction of a function from its samples, for the space of variable bandwidth constructed using Wilson expansions. The theorem is based on the maximal gap between consecutive points and it relates the lower sampling rate to the bandwidths that have an influence on the reconstruction on each particular interval of the signal.

Submission Type: Full Paper