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Digital Signal Processing with Optimal Analog Performance via Sampled-data Control Theory

Research Project

Project/Area Number 12450172
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Control engineering
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

YAMAMOTO Yutaka  Kyoto University, graduate school of Informatics, Professor, 情報学研究科, 教授 (70115963)

Co-Investigator(Kenkyū-buntansha) WAKASA Yuji  Yamaguchi University, Faculty of Engineering. Lecturer, 工学部, 講師 (60263620)
FUJIOKA Hisaya  Kyoto University, graduate school of Informatics, Assoc. Professor, 情報学研究科, 助教授 (60273596)
Project Period (FY) 2000 – 2002
Project Status Completed (Fiscal Year 2002)
Budget Amount *help
¥13,200,000 (Direct Cost: ¥13,200,000)
Fiscal Year 2002: ¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 2001: ¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2000: ¥7,600,000 (Direct Cost: ¥7,600,000)
Keywordssampled-data control / digital signal processing / H-infinity optimal performance / communication systems / convex optimization / sound / image processing / サンプル値制御系 / サンプルレート変換 / マルチレート信号処理 / サンプリング値制御系
Research Abstract

This research project intends to develop a new theory and method of signal processing that optimize analog performance via modern sampled-data control theory. This is made possible only via sampled-data control theory in that this theory can take intersampling behavior into account. This is in marked contrast to the Shannon sampling theorem which is so popular in signal processing community. In such a conventional approach, one usually resorts to the assumption that the original analog signals must be fully band-limited. This artificial assumption is never fulfilled in reality. Furthermore, it has an added artifact that it produces an unnecessary overshoot in many signals. The present research has successfully derived a filter that gives rise to a suboptimal analog performance, and it has been guaranteed that it gives a superior result in sound processing. This has been also assured in a lab experiment in which we implemented an optimal digital filter to a PC with DSP board. The constructed DA converter realized in such a DSP circuit easily outperformed the current high-end CD players available at the moment.
We have also obtained a new design method for optimal sample-rate converters, and also a design method for optimal filters for digital communication systems. A new numerical design method has also been developed since the design problem in these applications tend to be high-dimensional. It has been shown that a convex optimization problem, the so-called cutting-plane method, is very effective in such problems.
Finally, it has been observed that application to image processing of such filters can be a prospective direction for future research.

Report

(4 results)
  • 2002 Annual Research Report   Final Research Report Summary
  • 2001 Annual Research Report
  • 2000 Annual Research Report
  • Research Products

    (33 results)

All Other

All Publications (33 results)

  • [Publications] 山本 裕, 永原 正章: "Digital filter design via sampled-data control theory"Control and Modeling of Complex System : Cybernetics in the 21st Century. 31-43 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 若佐, 安福, 永原, 山本: "Sampled-data design of interpolators using the cutting-plane method"Proc.41st IEEE CDC. 2564-2569 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 山本, アンダーソン, 永原: "Approximating sampled-data systems with applications to digital redesign"Proc. 41st IEEE CDC. 3724-3729 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 加嶋, 山本, 永原: "Optimal wavelet expansion via sampled-data control theory"Proc. 41st IEEE CDC. 4788-4793 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 永原, 山本: "Design for digital communication systems via sample-data H∞ control"Proc. IFAC Workshop on Periodic Control Systems. 211-216 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] 永原, 山本: "A new design for sample-rate converters"Proc. 39th IEEE CDC. 4296-4301 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Yamamoto and M. Nagahara: "Digital filter design via sampled-data control theory"Control and Modeling of Complex Systems: Cybernetics in the 21st Century, K. Hashimoto, Y. Oishi and Y. Yamamoto Ed. , Birkhauser, Boston.. (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Wakasa, D. Yasufuku, M. Nagahara and Y. Yamamoto: "Sampled-data design of interpolators using the cutting-plane method"Proc. 41st IEEE CDC.. 2564-2569 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y. Yamamoto, B. D. O. Anderson, M. Nagahara: "Approximating sampled-data systems with applications to digital redesign"Proc. 41st IEEE CDC.. 3724-3729 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] K. Kashima, Y. Yamamoto and M. Nagahara: "Optimal wavelet expansion Via sampled-data control theory"Proc. 40^<th> IEEE CDC. 4788-4793 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Nagahara and Y. Yamamoto: "Design for digital communication systems via sample-data control"Proc. IFAC Workshop on Priodic Control Systems. 211-216 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] M. Nagahara and Y. Yamamoto: "A new design for sample-rate converters"Proc. 39^<th> IEEE CDC. 4296-4301 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2002 Final Research Report Summary
  • [Publications] Y.Yamamoto et al.: "Approximating sampled-data systems with applications to digital redesign"Proc. 41st IEEE CDC. (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Yamamoto: "Coprimeness conditions for pseudorational transfer functions"MTNS2002. (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 若佐, 安福, 永原, 山本: "切除平面法によるインターポレータのサンプル値設計"計測自動制御学会論文集. 38. 462-468 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Yamamoto: "Preservation of stability and spectrum for a class of infinite-dimensional systems"Proc. 15th IFAC World Congress. (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] 山本 裕, 永原正章: "サンプル値制御によるディジタル通信システムのロパスト設計"計測と制御. 41. 491-495 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Yamamoto et al.: "Optimal wavelet expansion via sampled-data control theory"Proc. 4th Asian Control Conference. (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Hashimoto, Y.Oishi, Y.Yamamoto: "Control and Modeling of Complex Systems"Birkhauser. 368 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] M.Nagahara, Y.Yamamoto: "Design for digital communication systems via sampled-data H^∞ control"Proc. 39th IFAC Workshop on Periodic Control Systems. 211-216 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Takahashi, H.Fujioka, Y.Yamamoto, M.Nakayama: "A robust width control design for hot strip mills : an LPV system approach with time variable transformation"Proc 10th IFAC Symposium on Automation Mining, Mineral and Metal Processing. 25-30 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] K.Kashima, Y.Yamamoto, M.Nagahara: "Optimal wavelet expansion via sampled-data control theory"Proc. 40th IEEE CDC. 4788-4793 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山本 裕: "現代制御理論での数理モデル"人工知能学会誌. 16. 241-244 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山本 裕: "サンプル値制御理論の回顧と展望"計測と制御. 40. 76-82 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 山本 裕, 永原正章: "サンプル値制御によるディジタル信号処理"システム/制御/情報. 45. 162-167 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 永原正章, 山本 裕: "インターポレータのサンプル値H^∞設計"シスsテム制御情報学会論文誌. 14. 483-489 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 藤岡久也,原辰次,山本裕: "サンプル値制御理論IV-最適制御問題の一般化"システム/制御/情報. 44. 78-86 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 藤岡久也,原辰次,山本裕: "サンプル値制御理論V-実システムへの応用と数値計算法"システム/制御/情報. 44. 223-231 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 山本裕,藤岡久也,原辰次,: "サンプル値制御理論VI-ディジタル信号処理への応用"システム/制御/情報. 44. 336-343 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Y.Yamamoto,M.Nagahara and H.Fujioka: "Multirate signal reconstruction and filter design via sampled-data H^∞ control"Proc.MTNS 2000. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] .Fujioka,Y.Wakasa,and Y.Yamamoto: "Optimization in control system design"Journal of the Operations Research Society of Japan. 43. 48-70 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Nagahara and Y.Yamamoto: "A new design for sample-rate converters"Proc.39th IEEE CDC. 4296-4301 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Fujioka and T.Asai: "Analysis and design of feedback control systems via IQCs"Journal of SICE. 39. 119-125 (2000)

    • Related Report
      2000 Annual Research Report

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Published: 2000-04-01   Modified: 2016-04-21  

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