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Multi-Resolution Analysis of Stochastic Processes

Research Project

Project/Area Number 11650435
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Measurement engineering
Research InstitutionWaseda University

Principal Investigator

AKIDUKI Kageo  Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 (10063603)

Co-Investigator(Kenkyū-buntansha) OHURA Izumi  Tokyo Denki University, School of Science and Engineering, Associate Professor, 理工学部, 助教授 (50180914)
Project Period (FY) 1999 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥700,000 (Direct Cost: ¥700,000)
KeywordsSignal Processing / Wavelet Transformation / Signal Compression / Optical Flow / Multi-Tree Structure / Stochastic Process / Sensor Fusion / Multi-Scale System / 推定
Research Abstract

Some basic theories and applications of Multi-Resolution analysis to stochastic processes are developed in this research. Obtained results are as follows :
(1) A multi-scale system representation to a linear stochastic system described by a stochastic differential equation is obtained. Calculation amount in estimation problem is decreased by using this model.
(2) An estimation method of optical flow is proposed. This method has a special characteristic in applying with multi-resolution analysis. On the assumption that data of images are approximately fBm processes, we estimate the parameter values of the process. Using multi-scale system theory, we can estimate the optical flow with very small calculation amount.
(3) A new signal compression method by a translation-invariant Wavelet Transformation is researched. For audio signal, we also developed a signal compression technique by considering hearing characteristics of human being.
(4) Multiple tree systems are proposed as a senser fusion model. A realization technique of this system is obtained and some estimation problems on this system are also researched.

Report

(3 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] Jaka Sembiring Kageo Akizuki: "Realization of Multi-Scale Stochastic Process on Multiple Tree"Trans.of IEE of Japan. 120-C No.2. 194-200 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring Kageo Akizuki: "Computation of Smoothing Algorithm on Multiple Tree Structure"Proc.of ICEE'99 Hong Kong. 166-169 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring Kageo Akizuki: "Application of Multiple Tree Theory on the Estimation of Signals in Network Distributed Environment"Proc.of ISCIE SSS'99 Tokyo. 147-150 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring Kageo Akizuki: "Application of Multiple Tree Stochastic Theory on Estimating signal over Network"Proc.of IFAC SYSID'00 Santa Barbara. (CD-ROM). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.Yano,M.Nakabayashi J.Sembiring,K.Akizuki: "Voice Compression with Translation-Invariant Wavelet Transformation"Proc.of ICEE'2000 Kitakyushu. 78-81 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring Kageo Akizuki: "Stochastic Process on CL Multiwavelet"Proc.of ISCIE SSS'00 Tottori. 105 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring, Kageo Akizuki: "Realization of Multi-scale stochastic Process on Multiple Tree"Trans.of IEE of Japan. 120-C. 194-200 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring, Kageo Akizuki: "Computation of smoothing Algorithm on Multiple Tree Structure"Proc.of ICEE'99 Hongkong. 166-169 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring, Kageo Akizuki: "Application of Multiple Tree Theory on the Estimation of Signals in Network Distributed Environment"Proc.of ISCIE SSS'99 Tokyo. 147-150 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring, Kageo Akizuki: "Application of Multiple Tree Stochasitc Theory on Estimating Signal over Network"Proc.of IFAC SYSID'00 Sana Barbara. (CDROM). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Atsuyoshi Yano, Makoto Nakabayashi, Jaka Sembiring, Kageo Akizuki: "Voice Compression with Translation-Invariant Wavelet Transformation"Proc.of IECC'2000 Kitakyushu. 78-81 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring, Kageo Akizuki: "Stochastic Process on CL Multiwavelet"Proc.of ISCIE SSS'O0 Tottori. 105 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Jaka Sembiring,Kageo Akizuki: "Application of Multiple Tree Stochastic Theory on Estimating Signal over Net work."Proc.of IFAC SYSID'00 Santa Barbara. CD-ROM (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Atsyoshi Yano,Kageo Akizuki 他: "Voice Compreesion with Translation-Invariant Wavelet Transformation."Proc.of ICEE 2000 Kitakyushu. 78-81 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Jaka Sembiring,Kageo Akizuki: "Stochastic Process on CL Multiwavelet"Proc.of SSS'00 Tottori. 105-105 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 森合正悟,花崎(大浦)泉: "ウェーブレット変換を用いた基本周波数抽出について"平成13年 電気学会 全国大会. (発行予定). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] 吉澤修,宮崎道雄,秋月影雄 他: "多変数系に対するファジイ推論"平成13年 電気学会 全国大会. (発行予定). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] Jaka Sembiring Kageo Akizuki: "Realization of Multi-scale Stochastic Process on Multiple Tree"Trans.of IEEE of Japan. 120-C・2. 194-200 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] Jaka Sembiring Kageo Akizuki: "Computation of Smoothing Algorithm on Multiple Tree Structure"Proc.of ICEE'99 Hong Kong. 8. 166-169 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Jaka Sembiring Kageo Akizuki: "Application of Multiple Tree Theory on the Estimation of Signals in Network Distributed Environment"Proc.of ISCIE SSS'99 Tokyo. 51-51 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 井上幹介,笠谷崇,Jaka Sembining,秋月影雄: "マルチスケ-ルモデルを用いたオプティカルフロ-の解析"平成11年電気学会全国大会講演論文集. 3-93-94 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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