Equivalence of reconstruction from the absolute value of the frame coefficients to a sparse representation problem

被引：19

作者：

Balan, Radu ^{[1
]}

Casazza, Pete

Edidin, Dan

机构：

[1] Siemens Corp Res, Princeton, NJ 08540 USA

[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

IEEE SIGNAL PROCESSING LETTERS | 2007年 / 14卷 / 05期

基金：

美国国家科学基金会;

关键词：

frames; nonlinear processing; sparse representation;

D O I：

10.1109/LSP.2006.888296

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The purpose of this letter is to prove, for real frames, that signal reconstruction from the absolute value of the frame coefficients is equivalent to solution of a sparse signal optimization problem; namely a minimum iota(Rho) (quasi)norm over a linear constraint. This linear constraint reflects the coefficients relationship within the range of the analysis operator.

引用

页码：341 / 343

页数：3

共 9 条

[1]

Bala B.K., 2005, Energy Edu. Sci. Technol, V15, P1

[2] On signal reconstruction without phase [J].