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Optimal design method realizing the maximal limit of injection-locking and its applications.

Research Project

Project/Area Number 26286086
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypePartial Multi-year Fund
Section一般
Research Field Computational science
Research InstitutionThe University of Electro-Communications

Principal Investigator

Tanaka Hisaaki  電気通信大学, 大学院情報理工学研究科, 准教授 (20334584)

Co-Investigator(Kenkyū-buntansha) 徳田 功  立命館大学, 理工学部, 教授 (00261389)
関屋 大雄  千葉大学, 大学院工学研究院, 教授 (20334203)
福田 弘和  大阪府立大学, 工学(系)研究科(研究院), 准教授 (90405358)
Co-Investigator(Renkei-kenkyūsha) KARASAWA Yoshio  電気通信大学, 大学院情報理工学研究科, 教授 (40313407)
HONJO Kazuhiko  電気通信大学, 大学院情報理工学研究科, 教授 (90334573)
MIZUGAKI Yoshinao  電気通信大学, 大学院情報理工学研究科, 教授 (30280887)
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥11,960,000 (Direct Cost: ¥9,200,000、Indirect Cost: ¥2,760,000)
Fiscal Year 2017: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2016: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2015: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Keywords非線形最適化 / 注入同期 / マイクロエレクトロニクス
Outline of Final Research Achievements

Injection-locking of nonlinear oscillators to an external periodic forcing is a fundamental phenomenon which adjusts their frequencies to that of an external forcing. Such injection-locking enables to stabilize the frequency of the oscillator, and it has a long history and produces a large variety of applications. In our research, we develop a method for maximizing the frequency range of an external forcing sustaining the injection-locked mode (i.e., locking range or synchronization band), based on our newly developed optimization theory. As a case study of optimizing synchronizability, we design the input waveforms that maximize locking ranges in an injection-locked Class-E oscillator, by using our optimization theory. Further, we verify the optimality of these inputs through systematic numerical calculations and experiments.

Report

(5 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • 2014 Annual Research Report
  • Research Products

    (50 results)

All 2018 2017 2016 2015 2014

All Journal Article (29 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 26 results,  Open Access: 20 results,  Acknowledgement Compliant: 11 results) Presentation (16 results) (of which Int'l Joint Research: 5 results,  Invited: 8 results) Book (4 results) Patent(Industrial Property Rights) (1 results)

  • [Journal Article] Scientific Technologies Based on the Circadian Clock in Plant Factories2018

    • Author(s)
      福田 弘和
    • Journal Title

      Shokubutsu Kankyo Kogaku

      Volume: 30 Issue: 1 Pages: 20-27

    • DOI

      10.2525/shita.30.20

    • NAID

      130006415635

    • ISSN
      1880-2028, 1880-3563
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 植物が刻むリズムを植物工場に生かす2018

    • Author(s)
      福田 弘和
    • Journal Title

      JSTnews

      Volume: 3月号 Pages: 10-11

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] Experimental study on entrainment of Stirling engines to an external pacemaker2017

    • Author(s)
      Kishin Migimatsu, Hisashi Kada, Isao T. Tokuda
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 8 Issue: 3 Pages: 246-254

    • DOI

      10.1587/nolta.8.246

    • NAID

      130006903506

    • ISSN
      2185-4106
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Multicellularity enriches the entrainment of Arabidopsis circadian clock2017

    • Author(s)
      Masuda Kosaku、Kitaoka Ryota、Ukai Kazuya、Tokuda Isao T.、Fukuda Hirokazu
    • Journal Title

      Science Advances

      Volume: 3 Issue: 10

    • DOI

      10.1126/sciadv.1700808

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Transition of phase response properties and singularity in the circadian limit cycle of cultured cells2017

    • Author(s)
      Koinuma Satoshi、Kori Hiroshi、Tokuda Isao T.、Yagita Kazuhiro、Shigeyoshi Yasufumi
    • Journal Title

      PLOS ONE

      Volume: 12 Issue: 7 Pages: 1-16

    • DOI

      10.1371/journal.pone.0181223

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Effect of different light-dark schedules on estrous cycle in mice, and implications for mitigating the adverse impact of night work2017

    • Author(s)
      Yoshinaka Kiichi、Yamaguchi Ai、Matsumura Ritsuko、Node Koichi、Tokuda Isao、Akashi Makoto
    • Journal Title

      Genes Cells

      Volume: 22 Issue: 10 Pages: 876-884

    • DOI

      10.1111/gtc.12522

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Potential contribution of tandem circadian enhancers to nonlinear oscillations in clock gene expression2017

    • Author(s)
      Isao T. Tokuda, Akihiko Okamoto, Ritsuko Matsumura, Toru Takumi, Makoto Akashi
    • Journal Title

      Mol. Biol. Cell.

      Volume: 28 Issue: 17 Pages: 2333-2342

    • DOI

      10.1091/mbc.e17-02-0129

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] New insights into olivo-cerebellar circuits for learning from a small training sample2017

    • Author(s)
      Tokuda Isao T、Hoang Huu、Kawato Mitsuo
    • Journal Title

      Current Opinion in Neurobiology

      Volume: 46 Pages: 58-67

    • DOI

      10.1016/j.conb.2017.07.010

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Salt-inducible kinase 3 regulates the mammalian circadian clock by destabilizing PER2 protein2017

    • Author(s)
      Naoto Hayasaka, Arisa Hirano, Yuka Miyoshi, Isao T. Tokuda, Hikari Yoshitane, Junichiro Matsuda, Yoshitaka Fukada
    • Journal Title

      eLife

      Volume: 6

    • DOI

      10.7554/elife.24779

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Steady-state analysis of isolated class-E2 converter outside nominal operation2017

    • Author(s)
      Tomoharu Nagashima, Xiuqin Wei, Elisenda Bou, Eduard Alarcon, Marian K. Kazimierczuk, and Hiroo Sekiya
    • Journal Title

      IEEE Transactions on Industrial Electronics

      Volume: 64 Issue: 4 Pages: 3227-3238

    • DOI

      10.1109/tie.2016.2631439

    • Related Report
      2017 Annual Research Report 2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Outside nominal operation analysis and design considerations of Inverse-class-E power amplifier2017

    • Author(s)
      Ali Lotfi, Ali Ershadi, Ali Medi, Mohsen Hayati, Marian K. Kazimierczuk, Hiroo Sekiya, Akihiko Katsuki, and Fujio Kurokawa
    • Journal Title

      IEEE Journal of Emerging and Selected Topics in Power Electronics

      Volume: 6 Issue: 1 Pages: 165-174

    • DOI

      10.1109/jestpe.2017.2753399

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 植物生産における概日時計のシステム科学2017

    • Author(s)
      福田 弘和
    • Journal Title

      科研費NEWS

      Volume: 4 Pages: 15-15

    • Related Report
      2017 Annual Research Report
    • Open Access
  • [Journal Article] 物理分野に現れる可解な最適化問題の最近の話題2017

    • Author(s)
      田中久陽
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 印刷中

    • Related Report
      2016 Annual Research Report
    • Open Access
  • [Journal Article] Experimental study on synchronization of soundcoupled electronic metronomes2017

    • Author(s)
      Hisashi Kada, Kei Kondo, Shota Sumino, Isao T. Tokuda
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 8 Pages: 15-24

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Experimental Verification of Desynchronization of Neurons via Heterogeneous Inhibitory Connections2017

    • Author(s)
      Hisashi Kada, Isao T. Tokuda
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E100.A Issue: 2 Pages: 611-618

    • DOI

      10.1587/transfun.E100.A.611

    • NAID

      130005306018

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Better clock synchronization from simultaneous two skew estimations2016

    • Author(s)
      Hisa-Aki Tanaka, Youjie Ouyang, Yoji Yabe, Isao Nishikawa, Kazuki Nakada
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 7 Issue: 4 Pages: 548-556

    • DOI

      10.1587/nolta.7.548

    • NAID

      130005605912

    • ISSN
      2185-4106
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Validating Stereo-Endoscopy with a Synthetic Vocal Fold Model2016

    • Author(s)
      K.A.Stevens, R. Shimamura, H. Imagawa, K.-I. Sakakibara, I.T.Tokuda
    • Journal Title

      Acta Acustica united with Acustica

      Volume: 102 Issue: 4 Pages: 745-751

    • DOI

      10.3813/aaa.918990

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Effective Suppression of Pathological Synchronization in Cortical Networks by Highly Heterogeneous Distribution of Inhibitory Connections2016

    • Author(s)
      Hisashi Kada, Jun-nosuke Teramae, and Isao T. Tokuda
    • Journal Title

      Frontiers in Computational Neuroscience

      Volume: 10 Pages: 109-109

    • DOI

      10.3389/fncom.2016.00109

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A class E power amplifier design considering MOSFET nonlinear draintosource and nonlinear gatetodrain capacitances at any grading coefficient2016

    • Author(s)
      Mohsen Hayati, Sobhan Roshani, Marian K. Kazimierczuk, and Hiroo Sekiya
    • Journal Title

      IEEE Transactions on Power Electronics

      Volume: 31 Issue: 11 Pages: 7770-7779

    • DOI

      10.1109/tpel.2015.2512928

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 注入同期のロックレンジを最大化する入力信号波形-CMOSリングオシレータを例として-2016

    • Author(s)
      矢部洋司,西川功,中田一紀,守川知行,関屋大雄,安藤芳晃,田中久陽
    • Journal Title

      電子情報通信学会論文誌 C

      Volume: J99-C(6) Pages: 298-313

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A simplistic dynamic circuit analogue of adaptive transport networks in true slime mold2016

    • Author(s)
      Hisa-Aki Tanaka, Kazuki Nakada, Yuta Kondo, Tomoyuki Morikawa, Isao Nishikawa
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 7 Issue: 2 Pages: 86-94

    • DOI

      10.1587/nolta.7.86

    • NAID

      130005142596

    • ISSN
      2185-4106
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Nonlinear Problems and Hölder's Inequality2016

    • Author(s)
      田中久陽
    • Journal Title

      IEICE ESS Fundamentals Review

      Volume: 9 Issue: 3 Pages: 219-228

    • DOI

      10.1587/essfr.9.3_219

    • NAID

      130005117707

    • ISSN
      1882-0875
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Optimal Synchronization of Oscillatory Chemical Reactions with Complex Pulse, Square, and Smooth Waveforms Signals Maximizes Tsallis Entropy2015

    • Author(s)
      Hisa-Aki Tanaka, Isao Nishikawa, Juergen Kurths, Yifei Chen, Istvan Z. Kiss
    • Journal Title

      Europhysics Letters

      Volume: 111(5) Issue: 5 Pages: 50007-50007

    • DOI

      10.1209/0295-5075/111/50007

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] What do amoebae look before they leap?&mdash; an efficient mechanism before sporulation in the true slime mold <i>Physarum polycephalum</i> &mdash;2015

    • Author(s)
      Hisa-Aki Tanaka, Yuta Kondo
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 6 Issue: 2 Pages: 275-284

    • DOI

      10.1587/nolta.6.275

    • NAID

      130005064237

    • ISSN
      2185-4106
    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A mode-lock free decentralized timing synchronization algorithm for intervehicle ad-hoc networks2015

    • Author(s)
      Hisa-Aki Tanaka, Kenta Shinohara
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 6 Issue: 2 Pages: 285-294

    • DOI

      10.1587/nolta.6.285

    • NAID

      130005064248

    • ISSN
      2185-4106
    • Related Report
      2015 Annual Research Report 2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Synchronization limit of weakly forced nonlinear oscillators2014

    • Author(s)
      Hisa-Aki Tanaka
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 47(40) Issue: 40 Pages: 402002-402002

    • DOI

      10.1088/1751-8113/47/40/402002

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Locking range derivations for injection-locked class-E oscillator applying phase reduction theory2014

    • Author(s)
      Tomoharu Nagashima, Xiuqin Wei, Hisa-Aki Tanaka, and Hiroo Sekiya
    • Journal Title

      IEEE Transactions on Circuits and Systems Part I: Regular Papers

      Volume: 61 Issue: 10 Pages: 2904-2911

    • DOI

      10.1109/tcsi.2014.2327276

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Optimal entrainment with smooth, pulse, and square signals in weakly forced nonlinear oscillators2014

    • Author(s)
      Hisa-Aki Tanaka
    • Journal Title

      PHYSICA D-NONLINEAR PHENOMENA

      Volume: 288 Pages: 1-22

    • DOI

      10.1016/j.physd.2014.07.003

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 注入同期の物理限界2014

    • Author(s)
      田中久陽
    • Journal Title

      応用数理

      Volume: 24(3) Pages: 103-109

    • NAID

      110009863501

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 共通ノイズによるスターリングエンジンの同期現象2017

    • Author(s)
      大澤英輝,嘉田久嗣,石村憲意,徳田 功
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      名城大学(愛知県・名古屋市)
    • Year and Date
      2017-03-23
    • Related Report
      2016 Annual Research Report
  • [Presentation] 「位相縮約振動工学」と関連する最適化問題2017

    • Author(s)
      田中 久陽
    • Organizer
      日本応用数理学会研究部会「数理設計」第19回研究集会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 非線形問題に内在する最適性の探求~注入同期回路設計への応用と新規な振動工学の開拓~2017

    • Author(s)
      田中 久陽,中川 正基,関屋 大雄
    • Organizer
      電子情報通信学会 非線形問題・システムと回路研究会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Mathematical modeling of cellular circadian network with dual coupling mechanisms in the SCN2017

    • Author(s)
      Isao Tokuda, Daisuke Ono, Sato Honma, Ken-ichi Honma, Hanspeter Herzel
    • Organizer
      Gordon research conference on Chronobiology
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Simple inspirations and discoveries in optimizing synchrony for Complex systems2017

    • Author(s)
      田中久陽
    • Organizer
      非線形科学研究集会
    • Place of Presentation
      立命館大学BKCキャンパス(滋賀県・草津市)
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 低い周波数に同期する電子メトロノームの実証実験2017

    • Author(s)
      井内大介,嘉田久嗣,石村憲意,徳田 功
    • Organizer
      電子情報通信学会総合大会
    • Place of Presentation
      名城大学(愛知県・名古屋市)
    • Related Report
      2016 Annual Research Report
  • [Presentation] Review of tuned power oscillators2016

    • Author(s)
      Hiroo Sekiya
    • Organizer
      2016 International Symposium on Nonlinear Theory and Its Application (NOLTA2016)
    • Place of Presentation
      New Welcity Yugawara, 107 Izumi, Atami-city, Shizuoka, Japan
    • Year and Date
      2016-11-27
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 植物概日振動子集団の同期率低下に伴う位相応答の変化に関する数理モデル2016

    • Author(s)
      増田亘作, 北岡竜太, 鵜飼和也, 福田弘和
    • Organizer
      複雑コミュニケーションサイエンス研究会
    • Place of Presentation
      京都産業大学むすびわざ館(京都府・京都市)
    • Year and Date
      2016-11-04
    • Related Report
      2016 Annual Research Report
  • [Presentation] Estimation of Cellular Phase Response Function Through Spatiotemporal Pattern in Plant Circadian Clock2016

    • Author(s)
      Hirokazu Fukuda, Kazuya Ukai, Kosaku Masuda, Ryuta Kitaoka, Naoki Seki
    • Organizer
      "Oscillations & Dynamic Instabilities in Chemical Systems" Gordon Research Conference
    • Place of Presentation
      Stoweflake Conference Center Stowe, VT, USA
    • Year and Date
      2016-07-17
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Design procedure for wireless power transfer system with inductive couplingcoil optimizations using PSO2016

    • Author(s)
      Takumi Noda, Tomoharu Nagashima, Xiuqin Wei, and Hiroo Sekiya
    • Organizer
      2016 IEEE International Symposium on Circuits and Systems (ISCAS2016)
    • Place of Presentation
      Sheraton center Montreal 1201 Boul. Rene Levesque O. Montreal, QC, Canada
    • Year and Date
      2016-05-23
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 物理分野に現れる可解な最適化問題の最近の話題2016

    • Author(s)
      田中久陽
    • Organizer
      京都大学数理解析研究所研究集会「最適化技法の最先端と今後の展開」
    • Place of Presentation
      京都大学数理解析研究所420号室(京都府・京都市)
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] 抑制性神経細胞の不均一な入力がもたらす脱同期とその電子回路への実装2016

    • Author(s)
      嘉田 久嗣, 徳田 功
    • Organizer
      第60回システム制御情報学会研究発表講演会
    • Place of Presentation
      京都テルサ(京都府・京都市)
    • Related Report
      2016 Annual Research Report
  • [Presentation] Supression of pathological synchronization in cortical network2016

    • Author(s)
      Isao Tokuda, Hisashi Kada, Junnosuke Teramae
    • Organizer
      複雑コミュニケーションサイエンス(CCS)研究会
    • Place of Presentation
      京都産業大学(京都府・京都市)
    • Related Report
      2016 Annual Research Report
  • [Presentation] Nonlinear Optimization from Holder's Inequality (for Fun and Profits)2015

    • Author(s)
      田中久陽
    • Organizer
      明治大学先端数理科学インスティテュート(MIMS)「現象数理学拠点」共同研究集会
    • Place of Presentation
      明治大学中野キャンパス(6階603研究セミナー室)
    • Year and Date
      2015-10-01
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] CCSの進む方向へのひとつのヒント-屋久島,情報通信,ヘルダーの不等式の三位一体-2015

    • Author(s)
      田中久陽
    • Organizer
      複雑コミュニケーションサイエンス研究会(CCS)
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-06-11
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Simple Inspirations and Discoveries in Complex Communication Sciences2014

    • Author(s)
      Hisa-Aki Tanaka
    • Organizer
      3rd Japan-Korea JointWorkshop on Complex Communication Sciences (JKCCS'14)
    • Place of Presentation
      韓国・釜山
    • Year and Date
      2014-10-27
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Book] 機械力学の基礎:力学への入門2017

    • Author(s)
      宮野 尚哉,徳田 功
    • Total Pages
      175
    • Publisher
      数理工学社
    • ISBN
      4864810451
    • Related Report
      2017 Annual Research Report
  • [Book] Oscillator Circuits: Frontiers in Design, Analysis and Applications(12章)2017

    • Author(s)
      Hiroo Sekiya, Yoshifumi Nishio(Ed.)
    • Total Pages
      336
    • Publisher
      The Institution of Engneering and Technology(IET)
    • Related Report
      2016 Annual Research Report
  • [Book] ストロガッツ 非線形ダイナミクスとカオス: 数学的基礎から物理・生物・化学・工学への応用まで2015

    • Author(s)
      田中久陽, 中尾裕也, 千葉逸人
    • Total Pages
      523
    • Publisher
      丸善出版
    • Related Report
      2014 Annual Research Report
  • [Book] Mathematical Approaches to Biological Systems2015

    • Author(s)
      Gouhei Tanaka, Takashi Matsubara, Hisa-Aki Tanaka, Takashi Shimada
    • Total Pages
      166
    • Publisher
      Springer Japan
    • Related Report
      2014 Annual Research Report
  • [Patent(Industrial Property Rights)] 最適波形の演算方法、プログラム及び最適波形演算装置2014

    • Inventor(s)
      田中久陽,矢部洋司
    • Industrial Property Rights Holder
      田中久陽,矢部洋司
    • Industrial Property Rights Type
      特許
    • Filing Date
      2014
    • Acquisition Date
      2018
    • Related Report
      2017 Annual Research Report

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Published: 2014-04-04   Modified: 2019-03-29  

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