Least Sampling Density from High Order Sampling

Abstract

The communication theory asserts that the sampling density, with which the signal can be recovered exactly, should be at least 2W if the signal is band limited to [0, W] or band-pass to [W0, W0+W]. In this paper we build a sampling theorem to general band E + = ∪ N n n n b a 1 ] , [ = with least sampling density.