CHANNELED SAMPLING IN SHIFT INVARIANT SPACES

摘要

We develop sampling expansion formulas on the shift invariant closed subspace V(φ) of L{sup}2(R) generated by a frame or a Riesz generatorφ(t). We find necessary and sufficient conditions under which a regular shifted sampling expansion to hold on V(φ) and also introduce a single channel sampling on V(φ) together with some illustrating examples.