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Basic study on realization for digital filters under finite word-length constraints

Research Project

Project/Area Number 25420372
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Communication/Network engineering
Research InstitutionHiroshima University

Principal Investigator

Fukumitsu Masayoshi  広島大学, 工学(系)研究科(研究院), 助教 (00403585)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Keywordsディジタルフィルタ / ディジタル微分器 / ロバスト安定 / スパース表現 / 離散最適化 / IIRディジタルフィルタ / FIRディジタルフィルタ / マルチバンドフィルタ / 微分器 / 帯域通過フィルタ / 最適化 / 有限語長 / フィルタ設計 / 2次形式 / システム同定
Outline of Final Research Achievements

In this work, we consider the design method for infinite impulse response (IIR) digital filters and digital differentiators. First, we formulate the filter design problem by linearizing the weighted least squared error criterion. We employ a multiband-response and differentiation-response as an ideal response. Then, the design problem can be expressed in a quadratic form (convex function) without requiring any frequency sampling. Furthermore, we develop a design algorithm which can specify the maximum pole radius without any iterative optimization. By utilizing the results above, we propose several more design methods for filters which have semi-sparse (0, 1, -1) coefficients or discrete coefficients.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (35 results)

All 2016 2015 2014 2013

All Journal Article (11 results) (of which Peer Reviewed: 11 results,  Acknowledgement Compliant: 8 results,  Open Access: 1 results) Presentation (24 results)

  • [Journal Article] Derivation of Positive Realness Constraint with Specified Maximum Pole Radius and its Application to Design of Low-pass Digital Differentiators2016

    • Author(s)
      入江洋規,中本昌由,山本透
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 136 Issue: 2 Pages: 123-132

    • DOI

      10.1541/ieejeiss.136.123

    • NAID

      130005122322

    • ISSN
      0385-4221, 1348-8155
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Design of Semi-Sparse Multi-Band Digital Filters Using Branch and Bound Method2015

    • Author(s)
      Masayoshi Nakamoto, Tomohiro Hirakawa and Toru Yamamoto
    • Journal Title

      Proc. of The 41th Annual Conference of the IEEE Industrial Electronics Society

      Volume: 1 Pages: 2626-2631

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Low-delay IIR approximation of FIR digital filters based on system identification2015

    • Author(s)
      Tomohiro Hirakawa, Masayoshi Nakamoto and Toru Yamamoto
    • Journal Title

      Proc. of 2015 International Workshop on Smart Info-Media Systems in Asia

      Volume: 1 Pages: 14-19

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Least-squares design of FIR digital filters with reduced-multipliers2015

    • Author(s)
      Yusuke Sato, Masayoshi Nakamoto and Toru Yamamoto
    • Journal Title

      Proc. of 2015 International Workshop on Smart Info-Media Systems in Asia

      Volume: 1 Pages: 20-25

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A positive realness based approach to design of IIR low-pass differentiators with prescribed pole radius constraint2014

    • Author(s)
      Hiroki Irie, Masayoshi Nakamoto and Toru Yamamoto
    • Journal Title

      Proc. of the 5th International Symposium on Advanced Control of Industrial Processes (ADCONIP 2014)

      Volume: 無し Pages: 96-101

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 準スパースFIRフィルタの最小二乗設計2014

    • Author(s)
      佐藤雄介,中本昌由,山本透
    • Journal Title

      第27回回路とシステムワークショップ論文集

      Volume: 無し Pages: 50-55

    • NAID

      40020152875

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Design of Multi-Band Digital Filters and Full-Band Digital Differentiators without Frequency Sampling and Iterative Optimization2014

    • Author(s)
      Masayoshi Nakamoto and Shuichi Ohno
    • Journal Title

      IEEE Transactions on Industrial Electronics

      Volume: 61 Issue: 9 Pages: 4857-4866

    • DOI

      10.1109/tie.2013.2290765

    • Related Report
      2014 Research-status Report 2013 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Design of Frequency-Selective Digital Differentiators without Frequency Sampling and Iterative Optimization2014

    • Author(s)
      Masayoshi Nakamoto and Toru Yamamoto
    • Journal Title

      Proc. of the 40th Annual Conference of the IEEE Industrial Electronics Society (IECON 2014)

      Volume: 無し Pages: 3425-3430

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] A Positive Realness Based Approach to Design of IIR Low-Pass Differentiators with Prescribed Pole Radius Constraint2014

    • Author(s)
      Hiroki Irie, Masayoshi Nakamoto and Toru Yamamoto
    • Journal Title

      Proc. of the 5th International Symposium on Advanced Control of Industrial Processes (ADCONIP 2014)

      Volume: 未定

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A System Identification Approach for Design of IIR Digital Filters2013

    • Author(s)
      Masayoshi Nakamoto, Naoyuki Shimizu and Toru Yamamoto
    • Journal Title

      Proc. of the 39th Annual Conference of the IEEE Industrial Electronics Society (IECON 2013)

      Volume: 無し Pages: 2358-2363

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Design of Reursive Band-Pass Digital Filters with Robust Stability Using the Lagrange Multiplier Method2013

    • Author(s)
      Hiroki Irie, Masayoshi Nakamoto and Toru Yamamoto
    • Journal Title

      Proc. of 2013 International Workshop on Smart Info-Media Systems in Asia (SISA 2013)

      Volume: 無し Pages: 261-266

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 係数同一制約を用いたFIRフィルタの設計2016

    • Author(s)
      平川友大,中本昌由,山本透
    • Organizer
      2016年電子情報通信学会総合大会
    • Place of Presentation
      九州大学
    • Year and Date
      2016-03-15
    • Related Report
      2015 Annual Research Report
  • [Presentation] シフト演算子を含む準スパース係数FIRフィルタの設計2016

    • Author(s)
      中本昌由,佐藤雄介,平川友大,山本透
    • Organizer
      電気学会制御研究会
    • Place of Presentation
      首都大学東京
    • Year and Date
      2016-03-04
    • Related Report
      2015 Annual Research Report
  • [Presentation] ヒューリスティック解法によるIIRフィルタの離散設計2015

    • Author(s)
      坂本真隆,中本昌由,山本透
    • Organizer
      第17回 IEEE Hiroshima Student Symposium
    • Place of Presentation
      岡山大学
    • Year and Date
      2015-11-21
    • Related Report
      2015 Annual Research Report
  • [Presentation] 準スパース係数を有する低遅延FIRフィルタの重み付最小二乗設計2015

    • Author(s)
      佐藤雄介,中本昌由,山本透
    • Organizer
      第17回 IEEE Hiroshima Student Symposium
    • Place of Presentation
      岡山大学
    • Year and Date
      2015-11-21
    • Related Report
      2015 Annual Research Report
  • [Presentation] 分枝限定法に基づく準スパース係数帯域通過フィルタの設計2015

    • Author(s)
      中本昌由, 平川友大, 山本透
    • Organizer
      第30回 信号処理シンポジウム
    • Place of Presentation
      福島県いわき市 スパリゾートハワイアンズ
    • Year and Date
      2015-11-04
    • Related Report
      2015 Annual Research Report
  • [Presentation] 準スパースIIRフィルタの一設計2015

    • Author(s)
      平川友大, 中本昌由, 山本透
    • Organizer
      平成27年度電気・情報関連学会中国支部第66回連合大会
    • Place of Presentation
      山口大学
    • Year and Date
      2015-10-17
    • Related Report
      2015 Annual Research Report
  • [Presentation] 準スパース・低遅延FIRフィルタの設計2015

    • Author(s)
      佐藤雄介,中本昌由,山本透
    • Organizer
      電気学会制御研究会
    • Place of Presentation
      東京都港区 広島大学東京キャンパス
    • Year and Date
      2015-08-31
    • Related Report
      2015 Annual Research Report
  • [Presentation] システム同定に基づく最大極半径指定可能なIIRフィルタの一設計法2015

    • Author(s)
      平川友大,中本昌由,清水尚之,山本 透
    • Organizer
      電気学会制御研究会
    • Place of Presentation
      東京都港区 広島大学東京キャンパス
    • Year and Date
      2015-08-31
    • Related Report
      2015 Annual Research Report
  • [Presentation] 群遅延と最大極半径が指定可能なFIR/IIRフィルタ変換法2015

    • Author(s)
      平川 友大,中本昌由,山本透
    • Organizer
      第28回回路とシステムワークショップ
    • Place of Presentation
      兵庫県淡路市 淡路夢舞台国際会議場
    • Year and Date
      2015-08-03
    • Related Report
      2015 Annual Research Report
  • [Presentation] 分枝限定法に基づく最適準スパース係数IIRフィルタの設計2015

    • Author(s)
      平川 友大,中本昌由,山本透
    • Organizer
      電気学会制御研究会
    • Place of Presentation
      広島大学
    • Year and Date
      2015-06-27
    • Related Report
      2015 Annual Research Report
  • [Presentation] IIR帯域通過微分器の一設計とその特性解析2015

    • Author(s)
      入江洋規,中本昌由,山本透
    • Organizer
      電気学会研究会
    • Place of Presentation
      広島大学東京キャンパス
    • Year and Date
      2015-01-28
    • Related Report
      2014 Research-status Report
  • [Presentation] 周波数標本化を必要としない帯域選択型ディジタル微分器の閉じた形の設計2014

    • Author(s)
      中本昌由,山本透
    • Organizer
      第57回自動制御連合講演会
    • Place of Presentation
      群馬伊香保ホテル天坊
    • Year and Date
      2014-11-10 – 2014-11-12
    • Related Report
      2014 Research-status Report
  • [Presentation] Lagrange未定乗数法を用いたスパースIIRディジタルフィルタの一設計2014

    • Author(s)
      平川友大,中本昌由,山本透
    • Organizer
      第57回自動制御連合講演会
    • Place of Presentation
      群馬伊香保ホテル天坊
    • Year and Date
      2014-11-10 – 2014-11-12
    • Related Report
      2014 Research-status Report
  • [Presentation] 準スパース性を有する低遅延FIRフィルタの重み付最小二乗設計2014

    • Author(s)
      佐藤雄介,中本昌由,山本 透
    • Organizer
      2014年電子情報通信学会ソサイエティ大会
    • Place of Presentation
      徳島大学
    • Year and Date
      2014-09-23 – 2014-09-26
    • Related Report
      2014 Research-status Report
  • [Presentation] Lagrange未定乗数法による並列構造IIRフィルタの設計2014

    • Author(s)
      坂本真隆,中本昌由,山本 透
    • Organizer
      2014年電子情報通信学会ソサイエティ大会
    • Place of Presentation
      徳島大学
    • Year and Date
      2014-09-23 – 2014-09-26
    • Related Report
      2014 Research-status Report
  • [Presentation] GAによるIIRフィルタの離散最適設計2014

    • Author(s)
      坂本真隆,中本昌由,山本透
    • Organizer
      平成26年電気学会電子・情報・システム部門大会
    • Place of Presentation
      島根大学
    • Year and Date
      2014-09-03 – 2014-09-06
    • Related Report
      2014 Research-status Report
  • [Presentation] 準スパース性に基づくFIRフィルタの乗算数削減2014

    • Author(s)
      佐藤雄介,中本昌由,山本 透
    • Organizer
      平成26年電気学会電子・情報・システム部門大会
    • Place of Presentation
      島根大学
    • Year and Date
      2014-09-03 – 2014-09-06
    • Related Report
      2014 Research-status Report
  • [Presentation] 最大極半径制約下における並列・縦続型IIRフィルタの設計2014

    • Author(s)
      坂本真隆,中本昌由,山本透
    • Organizer
      平成26年電気学会電子・情報・システム部門大会
    • Place of Presentation
      島根大学
    • Year and Date
      2014-09-03 – 2014-09-06
    • Related Report
      2014 Research-status Report
  • [Presentation] 不完全微分のためのローパス微分器の設計2013

    • Author(s)
      入江洋規,中本昌由,山本透
    • Organizer
      電気学会研究会
    • Place of Presentation
      熊本大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 最大極半径指定下における低域通過微分器の設計法2013

    • Author(s)
      入江洋規,中本昌由,山本透
    • Organizer
      第26回回路とシステムワークショップ
    • Place of Presentation
      淡路夢舞台国際会議場
    • Related Report
      2013 Research-status Report
  • [Presentation] データ指向型手法によるFIR-IIRフィルタ変換2013

    • Author(s)
      清水尚之,中本昌由,山本透
    • Organizer
      平成25年電気学会電子・情報・システム部門大会
    • Place of Presentation
      北見工業大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 最大極半径制約下における帯域通過フィルタの設計2013

    • Author(s)
      入江洋規,中本昌由,山本透
    • Organizer
      平成25年電気学会電子・情報・システム部門大会
    • Place of Presentation
      北見工業大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 制約付き2次計画問題に基づくローパス微分器の設計2013

    • Author(s)
      入江洋規,中本昌由,山本透
    • Organizer
      平成25年電気学会電子・情報・システム部門大会
    • Place of Presentation
      北見工業大学
    • Related Report
      2013 Research-status Report
  • [Presentation] 最大極半径制約と重み関数を考慮した低域通過微分器の設計2013

    • Author(s)
      入江洋規,中本昌由,山本透
    • Organizer
      平成25年度電気・情報関連学会中国支部第63回連合大会
    • Place of Presentation
      岡山大学
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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