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Study on Analog-to-Digital Converter Algorithms Using Number Theory

Research Project

Project/Area Number 15K13965
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Electron device/Electronic equipment
Research InstitutionGunma University

Principal Investigator

Kobayashi Haruo  群馬大学, 大学院理工学府, 教授 (20292625)

Project Period (FY) 2015-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2015: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords整数論 / ヒボナッチ数列 / 黄金比 / 白銀比 / AD変換器 / DA変換器 / 魔方陣 / ラテン方陣 / 逐次比較近似 / AD変換 / 冗長性 / 誤差補正 / フィボナッチ数列
Outline of Final Research Achievements

Several circuit/layout algorithms for AD/DA converters have been developed based on number theory, which can improve their performance. These have been verified with theoretical analysis and simulation results. (1) Layout algorithms for segmented DA converters have been developed based on magic squares and Latin squares.(2) Successive approximation register (SAR) ADC architectures with golden ratio weights and silver ratio weights have been investigated and it is shown that they can be reliable, error tolerant and high speed. Also their internal DA converter circuit configurations with simple architectures have been proposed. (3) The relationship between the golden-weighted SAR ADC and the golden ratio search algorithm has been clarified.

Report

(3 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • Research Products

    (20 results)

All 2017 2016 2015

All Journal Article (5 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 5 results,  Acknowledgement Compliant: 1 results) Presentation (15 results) (of which Int'l Joint Research: 6 results,  Invited: 1 results)

  • [Journal Article] Stochastic TDC Architecture with Self-Calibration and its RTL Verification2017

    • Author(s)
      Congbing Li, Junshan Wang, Haruo Kobayashi, Ryoji Shiota
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 137 Issue: 2 Pages: 335-341

    • DOI

      10.1541/ieejeiss.137.335

    • NAID

      130005308472

    • ISSN
      0385-4221, 1348-8155
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] SAR ADC Algorithm With Redundancy Using Pseudo-Silver-Ratio2017

    • Author(s)
      小林 佑太朗, 荒船 拓也, 澁谷 将平, 小林 春夫,
    • Journal Title

      IEEJ Transactions on Electronics, Information and Systems

      Volume: 137 Issue: 2 Pages: 222-228

    • DOI

      10.1541/ieejeiss.137.222

    • NAID

      130005308453

    • ISSN
      0385-4221, 1348-8155
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Redundant SAR ADC Algorithm Based on Fibonacci Sequence2016

    • Author(s)
      Yutaro Kobayashi, Haruo Kobayashi
    • Journal Title

      Advanced Micro-Device Engineering Ⅵ, Key Engineering Materials

      Volume: 698 Pages: 117-126

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A Residue Number System Based Time-to-Digital Converter Architecture and its FPGA Implementation2016

    • Author(s)
      Congbing Li, Haruo Kobayashi
    • Journal Title

      Advanced Micro-Device Engineering Ⅵ, Key Engineering Materials

      Volume: 698 Pages: 127-132

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Redundant SAR ADC Algorithm Based on Fibonacci Sequence2016

    • Author(s)
      Yutaro Kobayashi, Haruo Kobayash
    • Journal Title

      Key Engineering Materials

      Volume: 698 Pages: 118-126

    • DOI

      10.4028/www.scientific.net/kem.698.118

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] フィボナッチ冗長設計逐次比較AD変換器の補正力の定量化及び加減算型フィボナッチ重み付けDA変換器の提案2017

    • Author(s)
      荒船拓也, 澁谷将平, 新井宏嵩, 小林春夫
    • Organizer
      第7回 電気学会東京支部栃木・群馬支所 合同研究発表会
    • Place of Presentation
      栃木県足利市
    • Year and Date
      2017-03-02
    • Related Report
      2016 Annual Research Report
  • [Presentation] 黄金比重み付け逐次比較近似AD変換器の比較器誤判定とデジタル出力値の関係2017

    • Author(s)
      小辻澄人, 荒船拓也, 澁谷将平, 新井宏嵩, 小林春夫
    • Organizer
      第7回 電気学会東京支部栃木・群馬支所 合同研究発表会
    • Place of Presentation
      栃木県足利市
    • Year and Date
      2017-03-02
    • Related Report
      2016 Annual Research Report
  • [Presentation] フィボナッチ数列重み付け逐次比較近似AD変換器と黄金分割探索法の関係2017

    • Author(s)
      新井宏崇, 荒船拓也, 澁谷将平, 小林佑太朗, 小林春夫
    • Organizer
      第7回 電気学会東京支部栃木・群馬支所 合同研究発表会
    • Place of Presentation
      栃木県足利市
    • Year and Date
      2017-03-02
    • Related Report
      2016 Annual Research Report
  • [Presentation] ラテン方陣,魔方陣レイアウトアルゴリズムを用いたDA変換器線形性向上2017

    • Author(s)
      姚丹, 孫逸菲, 東野将史, 荒船拓也, 小林春夫
    • Organizer
      第7回 電気学会東京支部栃木・群馬支所 合同研究発表会
    • Place of Presentation
      栃木県足利市
    • Year and Date
      2017-03-02
    • Related Report
      2016 Annual Research Report
  • [Presentation] DA変換器の線形性向上に向けた魔方陣アルゴリズムの検討2017

    • Author(s)
      東野将司、Shaiful Nizam Bin Mohyar, 小林春夫
    • Organizer
      第65回システムLSI合同ゼミ
    • Place of Presentation
      東京
    • Related Report
      2016 Annual Research Report
  • [Presentation] Redundant SAR ADC Algorithms for Reliability Based on Number Theory2016

    • Author(s)
      Yutaro Kobayashi, Takuya Arafune, Shohei Shibuya, Haruo Kobayashi, Hirotaka Arai,
    • Organizer
      First IEEE International Workshop on Automotive Reliability & Test- ART Workshop
    • Place of Presentation
      米国 フォートワース市
    • Year and Date
      2016-11-17
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] フィボナッチ数列重み付け逐次比較近似ADCと単峰関数の黄金分割探索法との関係の考察2016

    • Author(s)
      新井宏崇、小林佑太朗、小林春夫
    • Organizer
      電子情報通信学会 回路とシステム研究会
    • Place of Presentation
      東京都小金井市
    • Year and Date
      2016-10-27
    • Related Report
      2016 Annual Research Report
  • [Presentation] Analog / Mixed-Signal Circuit Design Based on Mathematics2016

    • Author(s)
      Haruo Kobayashi, Haijun Lin
    • Organizer
      IEEE 13th International Conference on Solid-State and Integrated Circuit Technology
    • Place of Presentation
      中国 杭州市
    • Year and Date
      2016-10-25
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] DAC Linearity Improvement Algorithm With Unit Cell Sorting Based on Magic Square2016

    • Author(s)
      Masashi Higashino, Shaiful Nizam Bin Mohyar,Haruo Kobasashi
    • Organizer
      IEEE International Symposium on VLSI Design, Automation and Test
    • Place of Presentation
      台湾 新竹市
    • Year and Date
      2016-04-25
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 疑似白銀比重み付け逐次比較近似AD変換器の検討2016

    • Author(s)
      小林 佑太朗、荒船 拓也、渋谷 将平、小林 春夫
    • Organizer
      電気学会 電子回路研究会
    • Place of Presentation
      東京 (東京都市大学)
    • Year and Date
      2016-03-17
    • Related Report
      2015 Research-status Report
  • [Presentation] Fibonacci Sequence Weighted SAR ADC as Golden Section Search of Unimodal Function2016

    • Author(s)
      Hirotaka Arai, Yutaro Kobayashi, Haruo Kobayashi
    • Organizer
      8th International Cpnference on Advanced Micro-Device Engineering
    • Place of Presentation
      群馬県桐生市
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Fibonacci Sequence Weighted SAR ADC Algorithm and its DAC Topology2015

    • Author(s)
      Takuya Arafune, Yutaro Kobayashi, Shohei Shibuya, Haruo Kobayashi
    • Organizer
      IEEE 11th International Conference on ASIC
    • Place of Presentation
      中国 成都市
    • Year and Date
      2015-11-03
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] SAR ADC Design Using Golden Ratio Weight Algorithm2015

    • Author(s)
      Yutaro Kobayashi, Shohei Shibuya, Takuya Arafune, Shu Sasaki, Haruo Kobayashi
    • Organizer
      The 15th International Symposium on Communications and Information Technologies
    • Place of Presentation
      日本 奈良市
    • Year and Date
      2015-10-07
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] フィボナッチ数列重み付けSAR ADC のためのDACの検討2015

    • Author(s)
      荒船拓也 ,澁谷将平, 小林佑太朗 ,小林春夫
    • Organizer
      電気学会 電子回路研究会
    • Place of Presentation
      横須賀(防衛大学校)
    • Year and Date
      2015-07-02
    • Related Report
      2015 Research-status Report
  • [Presentation] 黄金比重み付けDA変換器の検討2015

    • Author(s)
      澁谷将平、荒船拓也、小林佑太朗、小林春夫
    • Organizer
      電子情報通信学会  第40回アナログRF研究会
    • Place of Presentation
      東京(東京工業大学 大岡山)
    • Year and Date
      2015-06-04
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2018-03-22  

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