NON-UNIFORM SAMPLING: EXACT RECONSTRUCTION FROM NON-UNIFORMLY DISTRIBUTED WEIGHTED-AVERAGES

摘要

In this article, we discuss the problem of reconstructing a function f in a lattice-invariant subspace of L_v~p (IR~d) from a family of non-uniformly distributed weighted-averages {(f,ψ_(x_j))>:j∈J} using an approximation-projection iterative algorithm.