Basis pursuit for frequency-domain identification

被引：13

作者：

Mi, Wen ^{[1
]}

Qian, Tao ^{[2
]}

Li, Shuang ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Peoples R China

[2] Univ Macau, Dept Math, Fac Sci & Technol, Macau, Peoples R China

[3] YGSOFT Inc, Div Mobile Internet, Zhuhai, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 03期

关键词：

frequency-domain identification; adaptive identification; compressive sensing; basis pursuit; ORTHONORMAL BASIS FUNCTIONS; CONTINUOUS-TIME SYSTEMS; ATOMIC DECOMPOSITION; MODELS; BASES;

D O I：

10.1002/mma.3498

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

W. Spro ss ig In this paper, we propose a new adaptive method for frequency-domain identification problem of discrete LTI systems. It is based on a dictionary that is consisting of normalized reproducing kernels. We prove that the singular values of the matrix generated by this dictionary converge to zero rapidly; this makes it quite efficient in representing the original systems with only a few elements. For different systems, it results in different selected sequences from the dictionary, that is, its adaptivity. Meanwhile, the stability of results is automatically guaranteed according to the structure of the dictionary. Two examples are presented to illustrate the idea. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：498 / 507

页数：10

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