ON THE UNIQUENESS OF SPARSE TIME-FREQUENCY REPRESENTATION OF MULTISCALE DATA

被引：3
|
作者：
Liu, Chunguang [1 ]
Shi, Zuoqiang [2 ]
Hou, Thomas Y. [3 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
[2] Tsinghua Univ, Ctr Math Sci, Beijing 100084, Peoples R China
[3] CALTECH, Appl & Computat Math, Pasadena, CA 91125 USA
来源：
MULTISCALE MODELING & SIMULATION | 2015年 / 13卷 / 03期
关键词：
sparse time-frequency decomposition; scale separation; nonlinear matching pursuit; DECOMPOSITION;
D O I：
10.1137/141002098
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we analyze the uniqueness of the sparse time-frequency decomposition and investigate the efficiency of the nonlinear matching pursuit method. Under the assumption of scale separation, we show that the sparse time-frequency decomposition is unique up to an error that is determined by the scale separation property of the signal. We further show that the unique decomposition can be obtained approximately by the sparse time-frequency decomposition using nonlinear matching pursuit.
引用
收藏
页码：790 / 811
页数：22
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