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GLOBAL CORRELATION METHODS FOR FEATURING A RANDOM FIELD AND A MULTIDIMENSIONAL MULTIVARIATE TIME SERIES AND THEIR APPLICATIONS

Research Project

Project/Area Number 08680336
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionKINKI UNIVERSITY

Principal Investigator

KIKKAWA Sho  SCHOOL OF BIOLOGY ORIENTED SCIENCE AND TECHNOLOGY,KINKI UNIVERSITY,PROFESSOR, 生物理工学部, 教授 (30075329)

Co-Investigator(Kenkyū-buntansha) YOSHIDA Hisashi  RESEARCH FELLOW, 生物理工学部, 助手 (50278735)
Project Period (FY) 1996 – 1998
Project Status Completed (Fiscal Year 1998)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1998: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1997: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1996: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsRANDOM FIELD / NUMBER OF DEGREES OF FREEDOM / CORRELATION TIME / CORRELATION LENGTH / CORRELATION AREA / BUNDLE CORRELATION FUNCTION / METEOROLOGICAL DATA / BIOMEDICAL DATA / 大域的相関 / 統計的自由度 / 相互情報量 / 多次元多変量時系列 / 相関体積 / 面相関関数 / 線相関関数 / 面相関時間 / 束相関関数 / 束相関時間 / 相関時間 / 時系列束 / 自由度 / 雲画像
Research Abstract

(a)We defined statistical numbers of degrees of freedom (NDF) as an equivalent uncorrelated number of points per unit area in a 2-dimensional random field.
(b)The first order NDF is equal to Fisher's information about the first statistical moment. The second order NDF is an approximation of Fisher's information about the second moment.
(c)Many interesting features of a random field and a random process were deduced from the NDF's. They are correlation time, correlation length, correlation area, line-correlation, area-correlation, and bundle-correlation.
(d)The mutual information and the vector correlation coefficient between two random processes are useful to measure how they are globally correlated. Relationship between mutual information and vector correlation were investigated both theoretically and numerically.
(e)The results obtalned above were applied to annualizing some meteorological data and biomedical data.

Report

(4 results)
  • 1998 Annual Research Report   Final Research Report Summary
  • 1997 Annual Research Report
  • 1996 Annual Research Report
  • Research Products

    (35 results)

All Other

All Publications (35 results)

  • [Publications] 吉川 昭: "時間-周波数解析の展望I-非定常解析序-" 電子情報通信学会誌. B-79(5). 515-520 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭: "時間-周波数解析の展望II-マッチドフィルタから非定常スペクトルへ-" 電子情報通信学会誌. B-79(6). 597-602 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭: "時間-周波数解析の展望III-フーリエ解析そしてスペクトログラム-" 電子情報通信学会誌. B-79(7). 746-751 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭: "時間-周波数解析の展望IV-ウェーブレットとその分類-" 電子情報通信学会誌. B-79(8). 820-830 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭、: "時間-周波数解析の展望V-コーエンのクラス-、" 電子情報通信学会誌. B-79(9). 927-935 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭: "時間-周波数解析の展望VI-時間-スケール表現と双線形表現の分〓" 電子情報通信学会誌. B-79(10). 1008-1016 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭、B.Z.Stiber: "生体信号の時間-周波数解析" BME(JJME). 11(1). 3-10 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭: "大域的相関分析法の提案と多次元気温データ解析" 平成6年度-8年度科学研究費補助金(基盤研究(A)(1))研究成果報告書(課題番号06301031)(研究代表者 東郷 正美). (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Kawachi, H.Yoshida, et al.: "“Decision Support for Psychiartric Diagnosis Based on a Simple Questionnaire. "" Methods of Information in Medicine,. Vo.36,. 126-128 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] "“Time Domain Methods for Characterizing Respiratory Fluctuations of the Heart Rate : Linear Stationary, Non-stationaly and Non-linear Approaches, "" Frontiers of Blood Pressure and Heart Rate Analysis, M.Di Rienzo et al.eds.IOS Press. 89-99 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭: "ゆらぎの非定常解析、ゆらぎの科学、ゆらぎ現象研究会編、" 森北出版, 309 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 太田喜元、東本暁美、吉川 昭、: "生物工学概論" コロナ社, 279 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭、佐藤俊輔、: "時間-周波数分布(訳 : Time-frequency analysis, by Cohen)" 朝倉書店, 300 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 吉川 昭: "確率と統計" オーム社, 1339 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: "Prospects of the theory of time-frequency analysis I-An introduction to nonstationary spectra-" The Journal of the Institute of Electronics, Information and Communication Engineers. B-79 (5). 515-520 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: "Prospects of the theory of time-frequency analysis II-From matched filter to non-stationary spect r-" The Journal of the Institute of Electronics, Information and Communication Engineers. B-79 (7). 746-751 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: "Prospects of the theory of time-frequency analysis III-Fourier analysis and spectrogram-" The Journal of the Institute of Electronics, Information and Communication Engineers. B-79 (7). 746-751 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: "Prospects of the theory of time-frequency analysis IV-Wavelets and their classification-" The Journal of the Institute of Electronics, Information and Communication Engineers. B-79 (8). 820-830 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: "Prospects of the theory of time-frequency analysis V-Cohen's class-" The Journal of the Institute of Electronics, Information and Communication Engineers. B-79 (9). 927-935 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: "Prospects of the theory of time-frequency analysis VI-Time-scale representations and classification of bilinear representations-" The Journal of the Institute of Electronics, Information and Communication Engineers. B-79 (10). 1008-1016 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho, B.Z.Stiber: "Time-frequency analysis of biomedical data" BME (JJME). 11 (1). 3-10 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: "A global correlation method and its application to analysis of multivariate metereological data" 1994-1996 Report of Research Project, Grant-in-Aid-for Scientific Research (A) (1), (Project number 06301031) (Togo, M.). (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Yana, H.Mizuta, K.Kawachi, H.Yoshida, K.Iida, Y.Okubo, M.Tohruand F.Okuyama: ""Decision Support for Psychiartric Diagnosis Based on a Simple Questionnaire, "" Methods of Information in Medicine. Vol.36. 126-128 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hideaki Shino, Hisashi Yoshida, Kazuo Yana, Kensuke Harada, Jiro Sudoh and Eishi Harasawa: ""Detection and Classification of Systolic Murmur for Phonocardiogram Screening"" Proc.18th Ann.Conf.IEEE EMBS. (CDROM). 1.3.1-4 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Yana, H.Mizuta, K.Kawachi, H.Yoshida, Kazuhiro Iida, Yoshiro Okubo, Michio Tohru and Fumio Okuyama: ""Decision Support for Psychiatric Diagnosis Based on Simple Questionnaire"" Proc.2nd IMA-IFMBE International WorkShop on Biosignal Interpretation. 215-218 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Hisashi Yoshida, H.Shino, K.Yana: ""Instantaneous Frequency Analysis of Systolic murmur for Phonocardiogram, "" Proc.19th Ann.Conf.IEEE EMBS. (CDROM). 1645-1647 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] H.Shino, H.Yoshida, H.Mizuta, K.Yana: ""Phonocardiogram Classification usig Time-Frequency Presentation, "" Proc 19th Ann.Conf.IEEE EMBS. (CDROM). 1636-1637 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Sato, T., Hiroshima, A., Nakajima, H., Kikkawa, S.: ""Methods for analyzing random phenomena and their applications to sceience and engineering"" Global correlation analysis of a random field -Its applications to metereological data-, The Institute of Statistical Mathematics Cooperation Research Report 91. 21-31 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: ""Methods for analyzing random phenomena and their applications to sceience and engineering"" Time-Frequency representation and time-scale representations, The Institute of Statistical Mathematics Cooperation Research Report Report 91. 57-67 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] Kikkawa, Sho: "Methods for tracking a signal characteristics" Proceedings of the 37th Conference of Medical Electronics and Biological Engineering. 200. (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] K.Yana, H.Mizuta, H.Yoshida, J.P.Saul and R.J.Cohen: "Time Domain Methods for Char-acterizing Respiratory Fluctuations of the Heart Rate : Linear Stationary, Non-stationary and Non-linear Approaches"Frontiers of Blood Pressure and Heart Rate Analysis, M.Di Rienzo et al.eds.IOS Press, 89-99 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1998 Final Research Report Summary
  • [Publications] 太田喜元、東本暁美、吉川昭: "生物工学概論" コロナ社, 278 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 吉川昭、佐藤俊輔: "時間-周波数解析" 朝倉書店, 300 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 吉川 昭, B.Z.Stiber: "生体信号3時間-周波数解析" BME(JJME). 11(1). 3-10 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 佐藤貴志: "確率場の大域的相関分析-気象画像への応用-" 統計数理研究所共同研究リポート. 91. 21-31 (1996)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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