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Noise Reduction in Multidimensional Digital filters Using High-Order Error Feedback

Research Project

Project/Area Number 07650497
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 計測・制御工学
Research InstitutionHIROSHIMA UNIVERSITY

Principal Investigator

HINAMOTO Takao  Hiroshima University, Faculty of Engineering, Professor, 工学部, 教授 (50031141)

Co-Investigator(Kenkyū-buntansha) MUNEYASU Mitsuji  Hiroshima University, Faculty of Engineering, Associate Professor, 工学部, 助教授 (30229942)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1996: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1995: ¥1,500,000 (Direct Cost: ¥1,500,000)
Keywordserror spectrum shaping / error feedback / roundoff noise / reduction of output noise / two-dimensional digital filter / two-dimensional rational transfer function / state-space model / M次元ディジタルフィルタ / 3次元有理伝達関数
Research Abstract

Stusies on "Noise Reduction in Multidimensional Digital filters Using High-Order Error Feedback" have been carried out as follows.
1) For two-dimensional (2-D) recursive digital filters described by 2-D rational transfer functions, an algorithm has been developed for designing the optimal error-feedback. Moreover, algorithm have been presented for designing the suboptimal error-feedback, whose coefficients are symmetric or antisymmetric, in order to reduce the implementation cost and make the processing rate high.
2) For 2-D state-space digital filters represented by the Roesser local state-space (LSS) model, an algorithm has been proposed for the design of the optimal high-order error-feedback. Also, algorithms have been explored to design the suboptimal high-order error-feedback with symmetric or antisymmetric coefficients.
3) For 2-D state-space digital filters expressed by the Fornasini-Marchesini second LSS model, the optimal algorithm for designing high-order error-feedbacks has been investigated together with the suboptimal design algorithms of high-order error-feedbacks whose coefficient matrices are diagonal.
4) A part of the algorithms mentioned above have been successfully extended to three-dimensional (3-D) recursive digital filters described by 3-D rational transfer functions.
5) Some of the above algorithms have also been extended to multidimensional state-space digital filters successfully.
Judging from these results, we consider that the objective of our study has been achieved sufficiently.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] T.Hinamoto,S.Karino,N.Kuroda: "Error spectrum shaping in 2-D digital filters" 1995 IEEE International Symposium on Circuits and Systems. 1. 348-351 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 雛元孝夫,黒田直喜,棟安実治: "3次元巡回形ディジタルフィルタの誤差スペクトル抑圧" 第10回ディジタル信号処理シンポジウム講演論文集. 169-174 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Hinamito,S.Karino: "High-order error feedback for noise reduction in state-space digital filters" 1996 IEEE International Conference Acoustics,Speech,and Signal Processing. 3. 1387-1391 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Hinamoto,S.Karino,N.Kuroda: "2-D state-space digital filters with error spectrum shaping" 1996 IEEE International Symposium on Circuits and Systems. 2. 766-769 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 雛元孝夫,狩野修治,黒田直喜: "誤差対角フィードバックによる2次元状態空間ディジタルフィルタの誤差スペクトル整形" 電子情報通信学会論文誌(A). J79-A,10. 1681-1691 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Hinamoto,N.Kuroda,T.Kuma: "Error feedback for noise reduction in 2-D digital filters with quadrantally symmetric or antisymmetric coefficients" (to appear). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takao Hinamoto, Shuji Karino and Naoki Kuroda: "Error spectrum shaping in 2-D digital filters" Proc.1995 IEEE international Symposium on Circuits and Systems. vol.1. 348-351 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takao Hinamoto, Naoki Kuroda and Mitsuji Muneyasu: "Error spectrum shaping in 3-D recursive digital filters" Proc.10-th Digital Signal Processing Symposium. 169-174 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takao Hinamoto and Shuji karino: "High-order error feedback for noise reduction in state-space digital filters" Proc.1996 IEEE International Conference on Acoustics, Speech, and Signal Processing. vol.3. 1387-1391 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takao Hinamoto, Shuji Karino and Naoki Kuroda: "2-D state-space digital filters with error spectrum shaping" Proc.1996 IEEE International Symposium on Circuits and Systems. vol.2. 766-769 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takao Hinamoto, Shuji Karino and Naoki Kuroda: "Error spectrum shaping in 2-D state-space digital filters using error diagonal feedback" Transactions of IEICE A. vol.J79-A,10. 1681-1691 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takao Hinamoto, Naoki Kuroda and Toshitaka Kuma: "Error feedback for noise reduction in 2-D digital filters with quadrantally symmetric or antisymmetric coefficients" Proc.1997 IEEE International Symposium on Circuits and Systems. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] T.Hinamoto, S.Karino: "High-order error feedback for noise reduction in state-space digital filters" 1996 IEEE International Conference Acoustics, Speech, and Signal Processing. 3. 1387-1391 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Hinamoto, S.Karino, N.Kuroda: "2-D state-space digital filters with error spectrum shaping" 1996 IEEE International Symposium on Circuits and Systems. 2. 766-769 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 雛元孝夫,狩野修治,黒田直喜: "誤差対角フィードバックによる2次元状態空間ディジタルフィルタの誤差スペクトル整形" 電子情報通信学会論文誌(A). J79-A,10. 1681-1691 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Hinamoto, N.Kuroda, T.Kuma: "Error feedback for noise reduction in 2-D digital filters with quadrantally symmetric or antisymmetric coefficients" 1997 IEEE International Symposium on Circuits and Systems. (to appear). (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 雛元孝夫,黒田直喜,隈 俊毅,前田拓也: "Roesserモデルに基づく2次元状態空間ディジタルフィルタの誤差スペクトル整形" 第35回計測自動制御学会学術講演会論文集. 691-692 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 雛元孝夫,隈 俊毅,前田拓也: "2次元状態空間ディジタルフィルタの誤差スペクトル整形" 第5回計測自動制御学会中国支部学術講演会論文集. 166-167 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T. Hinamoto, S. Karino, N. Kuroda: "Error spectrum shaping in 2-D digital filters" 1995 IEEE International Conference on Circuits and Systems. 1. 348-351 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 雛元孝夫, 狩野修治, 隅 俊毅: "誤差対角フィードバックによる状態空間ディジタルフィルタの誤差スペクトル抑圧" 第4回計測自動制御学会中国支部学術講演会論文集. 90-91 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 雛元孝夫, 黒田直喜, 棟安実治: "3次元巡回形ディジタルフィルタの誤差スペクトル抑圧" 第10回ディジタル信号処理シンポジウム講演論文集. 169-174 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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