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FIR Systems Identification Under Quantized Output Observations and a Large Class of Persistently Exciting Quantized Inputs
  • ISSN号:1009-6124
  • 期刊名称:《系统科学与复杂性学报:英文版》
  • 时间:0
  • 分类:O231.3[理学—运筹学与控制论;理学—数学] TN713.702[电子电信—电路与系统]
  • 作者机构:[1]Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China, [2]School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083,China
  • 相关基金:This paper was supported in part by the National Natural Science Foundation of China under Grant Nos. 61174042 and 61403027, in part by the National Key Research and Development Program of China (2016YFB0901902), and in part by the Open Research Project under Grant No. 20160105 from SKLMCCS.
中文摘要:

这份报纸与使量子化的产量观察和使量子化的输入的一个大班调查 FIR 系统鉴定。出现的 regressors 频率的限制晚辈被采用描绘坚持的刺激,强壮的集中和集中二拍子的圆舞评价算法在下面评价被给的输入。至于 asymptotical 效率,与在算法的 weighting 矩阵的一种合适的选择,尽管 Cram 的产品的限制

英文摘要:

This paper investigates the FIR systems identification with quantized output observations and a large class of quantized inputs. The limit inferior of the regressors' frequencies of occurrences is employed to characterize the input's persistent excitation, under which the strong convergence and the convergence rate of the two-step estimation algorithm are given. As for the asymptotical efficiency, with a suitable selection of the weighting matrix in the algorithm, even though the limit of the product of the Cramer-Rao (CR) lower bound and the data length does not exist as the data length goes to infinity, the estimates still can be asymptotically efficient in the sense of CR lower bound. A numerical example is given to demonstrate the effectiveness and the asymptotic efficiency of the algorithm.

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期刊信息
  • 《系统科学与复杂性学报:英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编:
  • 地址:北京东黄城根北街16号
  • 邮编:100080
  • 邮箱:
  • 电话:010-62541831 62541834
  • 国际标准刊号:ISSN:1009-6124
  • 国内统一刊号:ISSN:11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论(网络版),德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引(扩展库),英国科学文摘数据库
  • 被引量:125