Nonuniform average sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces

被引：12
|
作者：
Zhang, Qingyue [1 ]
机构：
[1] Tianjin Univ Technol, Coll Sci, 391 Bin Shui Xi Dao Rd, Tianjin 300384, Peoples R China
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2020年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Mixed Lebesgue spaces; nonuniform average sampling; shift-invariant subspaces; RECONSTRUCTION; ALGORITHM; OPERATORS; THEOREMS; LP;
D O I：
10.1142/S0219691320500137
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this paper, we study nonuniform average sampling problem in multiply generated shift-invariant subspaces of mixed Lebesgue spaces. We discuss two types of average sampled values: average sampled values {< f, psi(a)(. - x(j), .- y(k))>:j, k is an element of J} generated by single averaging function and average sampled values {< f, psi(xj,yk)>:j, k is an element of J} generated by multiple averaging functions. Two fast reconstruction algorithms for these two types of average sampled values are provided.
引用
收藏
页数：16
相关论文
共 50 条
12345