• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Design of Multidimensional Digital Filters via System Balancing Concept and its CAS System

Research Project

Project/Area Number 01550318
Research Category

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

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

Principal Investigator

KAWAMATA Masayuki  Tohoku University Electronic Engineering, Associate Professor, 工学部, 助教授 (70153004)

Project Period (FY) 1989 – 1990
Project Status Completed (Fiscal Year 1990)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1990: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1989: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordssystem balancing / multidimensional digital filters / optimal design / CAD / sensitivity / state-space approach / 設計 / 多次元ディジタル信号処理
Research Abstract

The controllability and observability gramians are defined for multi-dimensional state-space digital filters. Using the controllability and observability gramians, balanced realizations of multi-dimensional state-space digital filters are synthesized.
Sensitivity of one- and multi-dimensional state-space filters is analyzed by using the state-space description. This analysis shows that sensitivity of linear multidimensional state-space digital filters is described by their controllability gramian and the observability gramians. Sensitivity can be minimized by using equivalent transformations, and as a result minimum sensitivity of multi-dimensional state-space digital filters can be achieved when their controllability gramian and observability gramian are identical.
Several design methods of multi-dimensional state-space digital filters are proposed. These methods design multi-dimensional state-space digital filters via system balancing concept, and can approximate given frequency or spatial domain specifications with very small error. The computational time for the design can be reduced to half of conventional design method by utilizing symmetries of specifications.
Computer programs for multi-dimensional state-space digital filtering, system balancing, and several design methods are implemented in FORTRAN and C.

Report

(3 results)
  • 1990 Annual Research Report   Final Research Report Summary
  • 1989 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] 大木,川又,樋口: "インパルス応答仕様の外積展開に基づく3次元ディジタルフィルタの設計" 電子情報通信学会論文誌(A). J72ーA. 648-655 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 大木,川又,樋口: "周波数応答仕様に対する3次元ディジタルフィルタの設計" 電子情報通信学会論文誌(A). J72ーA. 1247-1252 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 〓,川又: "周波数仕様の低次元分解に基づく分母子分離形2次元ディジタルフィルタの設計" 電子情報通信学会論文誌(A). J72ーA. 1392-1399 (1989)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M.Iwatsuki,M.Kawamata,T.Higuchi: "Statistical sensitivity and minimum sensitivity structures with fewer coefficients in discrete time linear systems" IEEE Trans.on Circuits and Systems. CASー37. 72-80 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M.Ohki,M.Kawata,T.Higuch: "Efficient design of twoーdimentional separable denominator digital filters using symmetries" IEEE Trans.on Circuits and Systems. CASー37. 114-120 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.ーB.Deng M.Kawamata: "Design of twoーdimensional recursive digital filters based on the iterative singular value decomposition" Trans.of IEICE. E73. 882-892 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M.Ohki,M.Kawamata: "Design of threeーdimensional digital filters based on the outer product expansion" IEEE Trans.on Circuits and Systems. CASー37. 1164-1167 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M.Ohki,M.Kawamata: "Design of threeーdimensional digital filters based on the outer product expansion" Proc.of IEEE Int.Symp.on Ciruits and Systems. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T.ーB Deng,M.Kawamata: "Design of separable denominator digital filters based on the iterative singular value decomposition of the prescribed magnitude specification matrix" Proc.of Int.Conf.on Signal Processing. (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] 樋口編: "コンピュ-トロ-ル:特集 多次元ディジタル信号処理" コロナ社, 128 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M. Ohki, M. Kawamata and T. Higuchi: ""Design of three-dimensional digital filters based on the outer product expansion of impulse response specifications, "" Trans. of IEICE, J72-A. No. 4. 648-655 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M. Ohki, M. Kawamata and T. Higuchi: ""Design of parallel separable three-dimensional digital filters for frequency domain specifications, "" Trans. of IEICE, J72-A. No. 8. 1247-1252 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. -B. Deng and M. Kawamata: ""Design of separable-denominator two-dimensional digital filters based on the reduced-dimensional decomposition of frequency domain specifications, "" Trans. of IEICE, J72-A. No. 9. 1392-1399 (1989)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M. Iwatsuki, M. Kawamata, and T. Higuchi: ""Statistical sensitivity and minimum sensitivity structures with fewer coefficients in discrete time linear system, "" IEEE Trans. on Circuits and Systems. Vol. 37, No. 1,. 72-80 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M. Ohki, M. Kawamata, and T. Higuchi: ""Efficient design of two-dimensional separable denominator digital filters using symmetries, "" IEEE Trans. on Circuits and Systems. Vol. 37, No. 1. 114-120 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. -B. Deng, M. Kawamata, and T. Higuchi: ""Design of two-dimensional recursive digital filters based on the iterative singular value decomposition, "" Trans. of IEICE,. Vol. E 73, No. 6. 882-892 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M. Ohki and M. Kawamata: ""Design of three-dimensional digital filters based on the outer product expansion, "" Trans. on Circuits and Systems. Vol. 37, No. 9. 1164-1167 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M. Ohki and M. Kawamata,: ""Design of three-dimensional digital filters based on the outer product expansion, "" IEEE Int. Symp. on Circuits and SYstems. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] T. -B. Deng and M. Kawamata: ""Design of separable-denominator 2-D digital filters based on the iterative singular value decomposition of the prescribed magnitude specification matrix, "" Proc. Int. Conf. on Signal Processing. (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1990 Final Research Report Summary
  • [Publications] M.Iwatsuki,M.Kawamata,T.Higuchi: "Statistical sensitivity and minimum sensitivity structures with fewer coefficients in discrete time linear system" IEEE Trans.on Circuits and Systems. 13. 72-80 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] M.Ohki,M.Kawamata,T.Higuchi: "Efficient design of twoーdimensional separable denominator digital filters using symmetries" IEEE Trans.on Circuits and Systems. 37. 114-120 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] M.Ohki,M.Kawamata: "Design of threeーdimensional digital filters based on the outer product expansion" Proc.Int.Symp.on Circuits and Systems. 2458-2461 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.ーB.Deng,M.Kawamata,T.Higuchi: "Design of twoーdimensional recursive digital filters based on the iterative singular value decomposition" Trans.of IEICE. E73. 882-892 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] T.ーB.Deng,M.Kawamata: "Design of separableーdenominator 2ーD digital filters based on the iterative singular value decomposition of the prescribed magnitude specification matrix" Proc.Int.Conf.on Signal Processing. 777-780 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] M.Ohki,M.Kawamata: "Design of threeーdimensional digital filters based on the outer product expansion" IEEE Trans.on Circuits and Systems. 37. 1164-1167 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 樋口 龍雄編: "コンピュ-トロ-ル・特集 多次元ディジタル信号処理" コロナ社, 128 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 大木真,川又政征,樋口龍雄: "インパルス応答仕様の外積展開に基づく3次元ディジタルフィルタの設計" 電子情報通信学会論文誌(A). J72-A,4. 648-655 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] T.Deng,川又政征: "周波数領域仕様の低次元分解に基づく分母分離形2次元ディジタルフィルタの設計" 電子情報通信学会論文誌(A). J72-A,9. 1392-1399 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] 大木真,川又政征: "周波数領域仕様に対する並列完全分離形3次元ディジタルフィルタの設計" 電子情報通信学会論文誌(A). J72-A,8. 1247-1252 (1989)

    • Related Report
      1989 Annual Research Report
  • [Publications] Makoto Ohki,Masayuki Kawamata,Tatsuo Higuchi: "Efficient design of two-dimensional Separable denominator digital filters using symmetries" IEEE Trans.on Circuits and Systems. CAS-37,1. 114-120 (1990)

    • Related Report
      1989 Annual Research Report

URL: 

Published: 1989-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi