KMS Of Academy of mathematics and systems sciences, CAS
LS-Based Parameter Estimation of DARMA Systems with Uniformly Quantized Observations | |
Jing Lida; Zhang Ji-Feng1 | |
2021-08-08 | |
Source Publication | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
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ISSN | 1009-6124 |
Pages | 18 |
Abstract | This paper is concerned with the parameter estimation of deterministic autoregressive moving average (DARMA) systems with quantization data. The estimation algorithms adopted here are the least squares (LS) and the forgetting factor LS, and the signal quantizer is of uniform, that is, with uniform quantization error. The authors analyse the properties of the LS and the forgetting factor LS, and establish the boundedness of the estimation errors and a relationship of the estimation errors with the size of quantization error, which implies that the smaller the quantization error is, the smaller the estimation error is. A numerical example is given to demonstrate theorems. |
Keyword | Discrete-time linear time-invariant systems parameter estimation quantized output |
DOI | 10.1007/s11424-021-0314-y |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Key R&D Program of China[2018YFA0703800] ; National Natural Science Foundation of China[61877057] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Interdisciplinary Applications |
WOS ID | WOS:000682818700003 |
Publisher | SPRINGER HEIDELBERG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59045 |
Collection | 中国科学院数学与系统科学研究院 |
Corresponding Author | Zhang Ji-Feng |
Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
Recommended Citation GB/T 7714 | Jing Lida,Zhang Ji-Feng. LS-Based Parameter Estimation of DARMA Systems with Uniformly Quantized Observations[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2021:18. |
APA | Jing Lida,&Zhang Ji-Feng.(2021).LS-Based Parameter Estimation of DARMA Systems with Uniformly Quantized Observations.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,18. |
MLA | Jing Lida,et al."LS-Based Parameter Estimation of DARMA Systems with Uniformly Quantized Observations".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY (2021):18. |
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