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Fundamental Research on Statistical Modeling of Dynamic or Static Systems

Research Project

Project/Area Number 05650398
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 計測・制御工学
Research InstitutionOsaka University

Principal Investigator

INOUYE Yujiro  Faculty of Engineering Schience, Department of Systems Engineering, Associate Professor, 基礎工学部, 助教授 (40029533)

Project Period (FY) 1993 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1994: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1993: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsSystem Modeling / System Identification / Multichannel Systems / Statistical Approach / Cumulants / Blind Equalization / 静的システム / 独立信号 / ブラインド同定 / 波形分離 / 波形復元
Research Abstract

Recently, with the rapid development of high-speed digital computers, there has been an increasing interest in applying higher-order statistics called cumulants to several modeling problems of dynamic or static systems. In this research, we first proposed a cumulant-based identification method for a discrete-time linear system using the fourth-order cumulants of the imput and output signals, both of which are contaminated by additive colored Gaussian noise. Then, under the assumpytion that the input signal is white, we proposed an estiomation method of parameters of an ARMA model using the third-order or the fourth-order cumulants only of the output signal. We dealt with the problem of identification of multichannel linear systems driven by unobservable colored signals. It was shown that the transfer function matrix of an unknown system is identified up to post-multiplication of a generalized permutation matrix. We also considered the blind equalization problem of multichannel linear systems, and propose a multistage maximization criterion and a single-stage maximization criterion for solving this problem. We derived a necessary and sufficient condition for multichannel blid equalization.

Report

(3 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] 井上 雄二郎: "Identification of Linear Systems with Noisy Input-Output Cumulants" Int.J.Control. 59. 1231-1253 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 井上 雄二郎: "Parameter Estimation of Multivariate ARMA Processes Using Cumulants" IEICE Trans on Fundamentals,Communications and Computer Sciences. E77-A. 748-759 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 井上 雄二郎: "Identification of Linear Systems with Noisy Input Using Fourth-Orders Cumulants" Proc.IEEE Signal Processing Workshop on Higher-Order Statistics. 9-13 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 井上 雄二郎: "Identifiability of Multichannel Linear Systems Driven by Colored Inputs and Its Application to Blind Signal Separation" Proc.IEEE Int.Sympas on Circuits and Systems. 5. 57-60 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 井上 雄二郎: "高次統計量理論による信号処理:キュムラントによるモデリング" 第38回システム制御情報学会 研究発表講演会論文集. 35-38 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 井上 雄二郎: "信号のブラインド分離と復元" システム制御情報学会誌. 38. 451-453 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Inouye and Y.Suga: ""Identification of Linear Systems with Noisy Input Using Fourth-Orders Cumulants"" Proc.IEEE Signal Processing Workshop on Higher-Order Statistics. 9-13 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] L.Tong, Y.Inouye, and R.Liu: ""Waveform-Preserving Blind Estimation of Multiple Independent Sources"" IEEE Trans.on Signal Processing. Vol.41. 2461-2470 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Inouye and Y.Suga: ""Identification of Linear Systems with Noisy Input Using Input-Output Cumulants"" Int.J.Control. Vol.59, No.5. 1231-1253 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Inouye and T.Umeda: ""Parameter Estimation of Multivariate ARMA Processes Using Cumulants"" IEICE Trans.on Fundamentals, Communications and Computer Sciences. Vol.E77-A,No5. 748-759 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Inouye and B.Sako: ""Identifiability of Multichannel Linear Systems Driven by Colored Inputs and Its Application to Blind Signal Separeation"" Proc.IEEE Int.Sympos.on Circuits and Systems. Vol.5. 57-60 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Inouye and T.Habe: ""Multichannel Blind Equalization Using Second-and Fourth-Order Cumulants"" Proc.IEEE Signal Processing Workshop on Higher-Order Statistics. (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Y.Inouye, K.Hirano, and B.Sako: ""Blind Identification of Linear Multi-Input-Multi-Output Systems Driven by Colored Inputs and Applications to Blind Signal Separeation"" (submitted for publication.).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 井上 雄二郎: "Identification of Linear Systems with Noisy Input Using Input-Output Cumulants" Int.J.Control. 59. 1231-1253 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 井上 雄二郎: "Parameter Estimation of Multivariate ARMA Precesses Using Cumulants" IEICE Trans on Fundamentals,Communications and Computer Sciences. E77-A. 748-759 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 井上 雄二郎: "Identification of Linear Systems with Noisy Input Using Fourth-Orders Cumulants" Proc,IEEE Signal Processing Workshop on Higher‐Order Statistics. 9-13 (1993)

    • Related Report
      1994 Annual Research Report
  • [Publications] 井上 雄二郎: "Identifiability of Multichannel Linear Systems Driven by Colored Inputs and Its Application to Blind Signal Separeation" Proc,IEEE Int,Sympos on Circuits and Systems. 5. 57-60 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 井上 雄二郎: "高次統計量理論による信号処理:キュムラントによるモデリング" 第38回システム制御情報学会研究発表講演会論文集. 35-38 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 井上 雄二郎: "信号のブラインド分離と復元" システム制御情報学会誌. 38. 451-453 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 井上雄二郎: "Identification of Linear Systems with Noisy Input Using Fourth-Order Cumulants" Proc.IEEE Signal Processing Workshop on Higher-Order Statistics. 9-13 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Lang Tong: "Waveform-Preserving Blind Estimation of Multiple Independent Sources" IEEE Trans.Signal Processing. 41. 2461-2470 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 井上雄二郎: "Identification of Linear Systems with Noisy Input Using Input-Output Cumulants" International Journal of Control. (発表予定). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 井上雄二郎: "Parameter Estimation of Multivariate ARMA Processes Using Cumulants" 電子情報通信学会英文論文誌(基礎). (発表予定). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 井上雄二郎: "Identifiability of Multichannel Linear Systems deriven by Colored Inputs and Its Application to Blind Signal Separation" Proc.IEEE ISCAS. (発表予定). (1994)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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