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.
南方科技大学数学系微信公众号
© 2015 All Rights Reserved. 粤ICP备14051456号
Address: No 1088,xueyuan Rd., Xili, Nanshan District,Shenzhen,Guangdong,China 518055 Tel: +86-755-8801 0000