Research-Random Sampling and Reconstruction in Some Signal Spaces

Research

Financial Math Seminar

Random Sampling and Reconstruction in Some Signal Spaces

Speaker: XIAN Jun (Sun Yat-Sen University)
Time: Dec 28, 2019, 10:45-11:30
Location: Conference Room 415, Hui Yuan 3#

In this talk, we consider the problem of reconstructing functions in local multiply generated shift invariant spaces from convolution random samples. The sampling set is randomly chosen with one kind of probability distribution over a bounded cube and the sampled values are the convolution of the original function on sampling set. We obtain an explicit reconstruction formula. This reconstruction formula succeeds with overwhelming probability when the sampling size is sufficiently large.