Nonuniform sampling of signals and applications

A generalization of the Whittaker-Kotel´nikov-Shannon sampling theorem to nonuniform periodic sampling is given. The novel aspect of our work is that we seek a sampling expansion in terms of time-translates of a single function. Other work on nonuniform periodic sampling has considered sampling expansions in terms of time-translates of more than one function. Potential applications include simpler implementation of perfect reconstruction filterbanks with rational sampling factors, and more efficient decimation and interpolation filters for multiband signals