New directions in sampling and multi-rate A-D conversion via number theoretic methods
Stephen D. Casey, B.M. Sadle · 2002
Number theoretic methods have been used in the study of harmonic analysis to extend existing theories and develop new approaches to both theoretical and applied problems. A specific example of this approach is in the development of sampling theory on non-commensurate lattices. We will construct examples of these lattices, and use a generalization of B.Ya. Levin's (1996) sine-type functions to develop interpolating formulae on these lattices. We then consider application of these new sampling results to multi-rate A-D conversion.