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2009 Fiscal Year Final Research Report

Reconstruction of statistical mechanical informatics via the concept of information entropy and applications to information and communication theory

Research Project

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Project/Area Number 18079010
Research Category

Grant-in-Aid for Scientific Research on Priority Areas

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionKyoto University

Principal Investigator

TANAKA Toshiyuki  Kyoto University, 大学院・情報学研究科, 教授 (10254153)

Co-Investigator(Kenkyū-buntansha) NAKAMURA Kazutaka  京都大学, 大学院・情報学研究科, 助教
TAKEUCHI Keigo  電気通信大学, 電気通信学部, 助教 (30549697)
Project Period (FY) 2006 – 2009
Keywords情報統計力学 / CDMA通信 / MIMO通信 / レプリカ法 / ランダム行列 / 圧縮センシング
Research Abstract

Through revisiting the framework of statistical-mechanical nformatics for analyzing problems in the fields of information and communication in terms f information theory and statistical estimation theory, we have aimed at reformulating the ramework of statistical-mechanical informatics, as well as consolidating its efficiency, as a oolbox applicable to more realistic problem settings. In particular, in situations where ne cannot assume perfect knowledge about channel states, which are of principal concern n the context of wireless communication, we have shown that the analytical framework of tatistical-mechanical informatics is successfully applied to such situations to yield useful indings in view of designing wireless communication systems, demonstrating its efficiency.

  • Research Products

    (78 results)

All 2010 2009 2008 2007 2006

All Journal Article (15 results) (of which Peer Reviewed: 15 results) Presentation (62 results) Book (1 results)

  • [Journal Article] Optimization of sequences in CDMA systems: A statisticalmechanics approach2010

    • Author(s)
      Koichiro Kitagawa, Toshiyuki Tanaka
    • Journal Title

      Computer Networks vol.54,no.6

      Pages: 917-924

    • Peer Reviewed
  • [Journal Article] Performance analysis of optimal channel estimation and multiuser detection in a randomly-spread CDMA channel2010

    • Author(s)
      Keigo Takeuchi, Mikko Vehkapera, Toshiyuki Tanaka, Ralf R. Muller
    • Journal Title

      Journal of Systems Science and Complexity vol.23,no.1

      Pages: 22-34

    • Peer Reviewed
  • [Journal Article] Performance of polar codes with construction using density evolution2009

    • Author(s)
      Ryuhei Mori, Toshiyuki Tanaka
    • Journal Title

      IEEE Communications Letters vol.13,no.7

      Pages: 519-521

    • Peer Reviewed
  • [Journal Article] Reclassification of quantified classical simulated annealing2009

    • Author(s)
      Toshiyuki Tanaka
    • Journal Title

      Journal of Physics: Conference Series vol.143

      Pages: 012020,8

    • Peer Reviewed
  • [Journal Article] Typical reconstruction limit of compressed sensing based on Lp-norm minimization2009

    • Author(s)
      Yoshiyuki Kabashima, Tadashi Wadayama, Toshiyuki Tanaka
    • Journal Title

      Journal of Statistical Mechanics: Theory and Experiment

      Pages: L09003,12

    • Peer Reviewed
  • [Journal Article] Asymptotics of Harish-Chandra-Itzykson-Zuber integrals and free probability theory2008

    • Author(s)
      Toshiyuki Tanaka
    • Journal Title

      Journal of Physics: Conference Series vol.95

      Pages: 012002,9

    • Peer Reviewed
  • [Journal Article] Statistical-mechanics-based analysis of multiuser MIMO chanels with linear dispersion codes2008

    • Author(s)
      Keigo Takeuchi, Toshiyuki Tanaka
    • Journal Title

      Journal of Physics: Conference Series vol.95

      Pages: 012008,11

    • Peer Reviewed
  • [Journal Article] CDMAマルチユーザ検出における量子化の影響2008

    • Author(s)
      中村一尊, 田中利幸
    • Journal Title

      電子情報通信学会論文誌A vol.J91-A,no.5

      Pages: 550-556

    • Peer Reviewed
  • [Journal Article] Asymptotic analysis of general multiuser detectors in MIMO DS-CDMA channels2008

    • Author(s)
      Keigo Takeuchi, Toshiyuki Tanaka, Toru Yano
    • Journal Title

      IEEE Journal on Selected Areas in Communications vol.26,no.3

      Pages: 486-496

    • Peer Reviewed
  • [Journal Article] Mean field theory of communication - statistical-physics approach to wireless communications2008

    • Author(s)
      Toshiyuki Tanaka, Kazutaka Nakamura
    • Journal Title

      European Physical Journal B vol.64,nos.3-4

      Pages: 625-631

    • Peer Reviewed
  • [Journal Article] A mean field theory of coded CDMA systems2008

    • Author(s)
      Toru Yano, Toshiyuki Tanaka, David Saad
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical vol.41,no.32

      Pages: 324022,15

    • Peer Reviewed
  • [Journal Article] Moment problem in replica method2007

    • Author(s)
      Toshiyuki Tanaka
    • Journal Title

      Interdisciplinary Information Sciences vol.13,no.1

      Pages: 17-23

    • Peer Reviewed
  • [Journal Article] Spectral density of sparse sample covariance matrices2007

    • Author(s)
      Taro Nagao, Toshiyuki Tanaka
    • Journal Title

      Journal of Physics A: Mathematical and General vol.40,no.19

      Pages: 4973-4987

    • Peer Reviewed
  • [Journal Article] Statistical mechanical study of CDMA multiuser detectors - Analysis of RS and 1RSB solutions -2007

    • Author(s)
      Mika Yoshida, Tatsuya Uezu, Toshiyuki Tanaka, Masato Okada
    • Journal Title

      Journal of Physical Society of Japan vol.76,no.5

      Pages: 054003,10

    • Peer Reviewed
  • [Journal Article] 確率伝搬法に基づくCDMAマルチユーザ検出方式における通信路パラメータ同時推定方式の基礎的検討2007

    • Author(s)
      矢野亨, 中村一尊, 田中利幸
    • Journal Title

      電子情報通信学会論文誌A vol.J90-A,no.11

      Pages: 861-869

    • Peer Reviewed
  • [Presentation] Properties of a certain stochastic dynamical system, channel polarization, and polar codes2010

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      International Workshop on Statistical Mechanical Informatics 2010
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20100300
  • [Presentation] Statisticalmechanics- based analysis of compressed sensing, " International Meeting on2010

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      Inference, Computation, and Spin Glasses
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20100300
  • [Presentation] 数独に対する平均場模型2010

    • Author(s)
      田中利幸, 福島孝治
    • Organizer
      日本物理学会第65回年次大会
    • Year and Date
      20100300
  • [Presentation] バイアスに基づく通信路推定Part I: MIMO2009

    • Author(s)
      竹内啓悟, Ralf Mueller, Mikko Vehkaperae, 田中利幸
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Year and Date
      20091200
  • [Presentation] バイアスに基づく通信路推定Part II: DS-CDMA2009

    • Author(s)
      竹内啓悟, Ralf Mueller, Mikko Vehkaperae, 田中利幸
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Year and Date
      20091200
  • [Presentation] Lpノルム最小化に基づく圧縮センシングの統計力学的解析2009

    • Author(s)
      樺島祥介, 和田山正, 田中利幸
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Year and Date
      20091200
  • [Presentation] 圧縮センシングにおける事後平均推定量にもとづく復元方式の統計力学的解析2009

    • Author(s)
      矢野亨, 田中利幸
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Year and Date
      20091200
  • [Presentation] CDMAマルチユーザ検出における二値化受信信号に対する並列干渉除去法の性能評価2009

    • Author(s)
      大山賀己, 田中利幸
    • Organizer
      第32回情報理論とその応用シンポジウム
    • Year and Date
      20091200
  • [Presentation] How much training is needed for iterative multiuser detection and decoding?2009

    • Author(s)
      Mikko Vehkaperae, Keigo Takeuchi, Ralf Muller, Toshiyuki Tanaka
    • Organizer
      Global Telecommunications Conference (Globecom)
    • Place of Presentation
      Honolulu, USA
    • Year and Date
      20091200
  • [Presentation] 通信路分極とポーラ符号2009

    • Author(s)
      田中利幸
    • Organizer
      電子情報通信学会情報理論研究会
    • Year and Date
      20091100
  • [Presentation] l1復元の統計力学2009

    • Author(s)
      田中利幸
    • Organizer
      日本物理学会1009年秋季大会
    • Year and Date
      20090900
  • [Presentation] 疎な共分散型ランダム行列の漸近固有値分布2009

    • Author(s)
      福本知也, 田中利幸
    • Organizer
      日本物理学会2009年秋季大会
    • Year and Date
      20090900
  • [Presentation] 系の縮退が量子アニーリングの高速化技法に及ぼす影響2009

    • Author(s)
      野中成吾, 田中利幸
    • Organizer
      日本物理学会2009年秋季大会
    • Year and Date
      20090900
  • [Presentation] On asymptotic performance of iterative channel and data estimation in large DS-CDMA systems2009

    • Author(s)
      Mikko Vehkapera, Keigo Takeuchi, Ralf Muller, Toshiyuki Tanaka
    • Organizer
      2nd Workshop on Physics-Inspired Paradigms in Wireless Communications and Networks
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      20090600
  • [Presentation] A new signaling scheme for large DS-CDMA channels without CSI2009

    • Author(s)
      Keigo Takeuchi, Ralf Mueller, Mikko Vehkapera, Toshiyuki Tanaka
    • Organizer
      2nd Workshop on Physics-Inspired Paradigms in Wireless Communications and Networks
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      20090600
  • [Presentation] Practical signaling with vanishing pilot-energy for large noncoherent block-fading MIMO channels2009

    • Author(s)
      Keigo Takeuchi, Ralf Mueller, Mikko Vehkapera, Toshiyuki Tanaka
    • Organizer
      2009 IEEE International Symposium on Information Theory
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      20090600
  • [Presentation] How much training is needed for iterative multiuser detection and decoding?2009

    • Author(s)
      Mikko Vehkapera, Keigo Takeuchi, Ralf Muller, Toshiyuki Tanaka
    • Organizer
      2009 IEEE International Symposium on Information Theory
    • Place of Presentation
      Seoul, Korea
    • Year and Date
      20090600
  • [Presentation] Optimal amount of pilot information for MIMO channel estimation2009

    • Author(s)
      Keigo Takeuchi
    • Organizer
      Joint Workshop of Beijing, Hong Kong and Kyoto on Computational Mathematics, Computer and Systems Sciences 2009
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20090300
  • [Presentation] Asymptotic performance bounds of joint channel estimation and multiuser detection in frequency-selective fading DS-CDMA channels2008

    • Author(s)
      Keigo Takeuchi, Toshiyuki Tanaka
    • Organizer
      2008 International Symposium on Information Theory and Its Applications
    • Place of Presentation
      Auckland, New Zealand
    • Year and Date
      20081200
  • [Presentation] 不完全電力制御CDMA通信における最適拡散符号系列の統計力学的検討2008

    • Author(s)
      北川幸一郎, 田中利幸
    • Organizer
      第31回情報理論とその応用シンポジウム
    • Year and Date
      20081000
  • [Presentation] MIMO DS-CDMA通信路における通信路推定とマルチユーザ検出2008

    • Author(s)
      竹内啓悟, 田中利幸
    • Organizer
      第31回情報理論とその応用シンポジウム
    • Year and Date
      20081000
  • [Presentation] Reclassification of quantified classical simulated annealing2008

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      International Workshop on Statistical Mechanical Informatics 2008
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      20080900
  • [Presentation] MIMO DS-CDMAにおける通信路推定とマルチユーザ検出の統計力学的検討2008

    • Author(s)
      竹内啓悟, 田中利幸
    • Organizer
      電子情報通信学会2008ソサイエティ大会
    • Year and Date
      20080900
  • [Presentation] チャネル推定を考慮したCDMAマルチユーザ検出問題の統計力学的解析2008

    • Author(s)
      竹内啓悟, 田中利幸
    • Organizer
      日本物理学会2008年秋季大会
    • Year and Date
      20080900
  • [Presentation] 重み一定の疎なランダム行列の漸近固有値分布2008

    • Author(s)
      福本知也, 田中利幸
    • Organizer
      日本物理学会2008年秋季大会
    • Year and Date
      20080900
  • [Presentation] Asymptotic analysis of iterative channel estimation and multiuser detection with soft feedback in multipath channels2008

    • Author(s)
      Mikko Vehkapera, Keigo Takeuchi, Ralf Muller, Toshiyuki Tanaka
    • Organizer
      16th European Signal Processing Conference
    • Place of Presentation
      Lausanne, Switzerland
    • Year and Date
      20080800
  • [Presentation] Replica analysis of general multiuser detection in MIMO DS-CDMA channels with imperfect CSI2008

    • Author(s)
      Keigo Takeuchi, Mikko Vehkaperae, Toshiyuki Tanaka, Ralf R. Muller
    • Organizer
      2008 IEEE International Symposium on Information Theory
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      20080700
  • [Presentation] Microscopic analysis for decoupling principle of linear vector chanel2008

    • Author(s)
      Kazutaka Nakamura, Toshiyuki Tanaka
    • Organizer
      2008 IEEE International Symposium on Information Theory
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      20080700
  • [Presentation] Optimal spreading sequences in large CDMA systems: A statistical mechanics approach2008

    • Author(s)
      Kouichiro Kitagawa, Toshiyuki Tanaka
    • Organizer
      2008 IEEE International Symposium on Information Theory
    • Place of Presentation
      Toronto, Canada
    • Year and Date
      20080700
  • [Presentation] Interference reduction in CDMA channels: A statistical-mechanics approach2008

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      1st Workshop on Physics-Inspired Paradigms in Wireless Communications and Networks
    • Place of Presentation
      Berlin, Germany
    • Year and Date
      20080400
  • [Presentation] Statistical-mechanics approach to approximate algorithms for Bayesian inference problems2008

    • Author(s)
      Kazutaka Nakamura, Toshiyuki Tanaka
    • Organizer
      Chinese Academy of Sciences-Kyoto University Joint Workshop on Mathematical Methods for Informatics
    • Place of Presentation
      Engineering and Management, Beijing, China
    • Year and Date
      20080300
  • [Presentation] Large-system analysis of MIMO-CDMA channels with imperfect channel state informatio2008

    • Author(s)
      Keigo Takeuchi, Toshiyuki Tanaka, Mikko Vehkaperae, Ralf R. Mueller
    • Organizer
      Chinese Academy of Sciences-Kyoto University Joint Workshop on Mathematical Methods for Informatics
    • Place of Presentation
      Engineering and Management, Beijing, China
    • Year and Date
      20080300
  • [Presentation] 拡散符号系列がスパースなCDMAマルチユーザ復調器の統計力学的解析2008

    • Author(s)
      吉田実加, 田中利幸, 上江洌達也
    • Organizer
      日本物理学会第63回年次大会
    • Year and Date
      20080300
  • [Presentation] 線形ベクトル通信路に対するRSB解におけるデカップリング原理2008

    • Author(s)
      中村一尊, 田中利幸
    • Organizer
      日本物理学会第63回年次大会
    • Year and Date
      20080300
  • [Presentation] 符号間干渉通信路に対する統計力学的解析2008

    • Author(s)
      竹内啓悟, 田中利幸
    • Organizer
      日本物理学会第63回年次大会
    • Year and Date
      20080300
  • [Presentation] CDMA通信路における最適な拡散符号系列の検討2008

    • Author(s)
      北川幸一郎, 田中利幸
    • Organizer
      日本物理学会第63回年次大会
    • Year and Date
      20080300
  • [Presentation] Limiting eigenvalue distributions of random matrices2008

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      7th International Conference on Applications of Physics in Financial Analysis
    • Place of Presentation
      Tokyo, Japan
    • Year and Date
      20080300
  • [Presentation] マルチユーザMIMO通信路における低レート時空間符号の漸近性能解析2007

    • Author(s)
      竹内啓悟, 田中利幸
    • Organizer
      第30回情報理論とその応用シンポジウム
    • Year and Date
      20071100
  • [Presentation] Itzykson-Zuber積分に関するいくつかの結果2007

    • Author(s)
      田中利幸
    • Organizer
      第30回情報理論とその応用シンポジウム
    • Year and Date
      20071100
  • [Presentation] Welch限界を達成する拡散符号系列を用いたCDMA通信路の統計力学による解析2007

    • Author(s)
      北川幸一郎, 田中利幸
    • Organizer
      第30回情報理論とその応用シンポジウム
    • Year and Date
      20071100
  • [Presentation] 周波数ホッピング方式に基づく拡散符号系列がスパースなCDMAモデルについての統計力学的解析2007

    • Author(s)
      吉田実加, 田中利幸, 上江洌達也
    • Organizer
      第30回情報理論とその応用シンポジウム
    • Year and Date
      20071100
  • [Presentation] ランダムベクトル通信路におけるデカップリング原理の精密化2007

    • Author(s)
      中村一尊, 田中利幸
    • Organizer
      第30回情報理論とその応用シンポジウム
    • Year and Date
      20071100
  • [Presentation] 符号化CDMAシステムの情報伝送量の統計力学的評価2007

    • Author(s)
      矢野亨, 田中利幸, David Saad
    • Organizer
      第30回情報理論とその応用シンポジウム
    • Year and Date
      20071100
  • [Presentation] Spin glasses in wireless communications2007

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      Viewing the World through Spin Glasses: An International Conference in Honour of David Sherrington
    • Place of Presentation
      Oxford, United Kingdom
    • Year and Date
      20070900
  • [Presentation] Asymptotics of Harish-Chandra-Itzykson-Zuber integrals and free probability theory2007

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      International Workshop on Statistical Mechanical Informatics 2007
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20070900
  • [Presentation] Statistical-mechanics-based analysis of multiuser MIMO channels2007

    • Author(s)
      Keigo Takeuchi, Toshiyuki Tanaka
    • Organizer
      International Workshop on Statistical Mechanical Informatics 2007
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      20070900
  • [Presentation] ランダムベクトル通信路における自由エネルギー分布の漸近解析2007

    • Author(s)
      竹内啓悟, 田中利幸
    • Organizer
      日本物理学会第62回年次大会
    • Year and Date
      20070900
  • [Presentation] ランダム行列理論におけるR変換の積分とシャノン変換との間の双対構造2007

    • Author(s)
      田中利幸
    • Organizer
      日本物理学会第62回年次大会
    • Year and Date
      20070900
  • [Presentation] CDMA通信路における個別ユーザの周辺事後確率の評価2007

    • Author(s)
      中村一尊, 田中利幸
    • Organizer
      日本物理学会第62回年次大会
    • Year and Date
      20070900
  • [Presentation] 符号化CDMAシステムの平均場描像2007

    • Author(s)
      矢野亨, 田中利幸, David Saad
    • Organizer
      日本物理学会第62回年次大会
    • Year and Date
      20070900
  • [Presentation] Limiting eigenvalue distributions of random matrices2007

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      Common Concepts in Statistical Physics and Computer Science
    • Place of Presentation
      Trieste, Italy
    • Year and Date
      20070700
  • [Presentation] Mean field theory of communication2007

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      23rd IUPAP International Conference on Statistical Physics
    • Place of Presentation
      Genova, Italy
    • Year and Date
      20070700
  • [Presentation] Hierarchical decoupling principle of a MIMO-CDMA channel in asymptotic limits2007

    • Author(s)
      Keigo Takeuchi, Toshiyuki Tanaka
    • Organizer
      2007 IEEE International Symposium on Information Theory
    • Place of Presentation
      Nice, France
    • Year and Date
      20070600
  • [Presentation] On dualistic structure involving Shannon transform and integrated R-transform2007

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      2007 IEEE International Symposium on Information Theory
    • Place of Presentation
      Nice, France
    • Year and Date
      20070600
  • [Presentation] Decoupling principle in beliefpropagation- based CDMA multiuser detection algorithm2007

    • Author(s)
      Takashi Ikehara, Toshiyuki Tanaka
    • Organizer
      2007 IEEE International Symposium on Information Theory
    • Place of Presentation
      Nice, France
    • Year and Date
      20070600
  • [Presentation] Mean field theory of communication over random vector channels2007

    • Author(s)
      Toshiyuki Tanaka
    • Organizer
      Statistical Physics and its Applications to Complex Problems in Communication
    • Place of Presentation
      Eilat, Israel
    • Year and Date
      20070300
  • [Presentation] MIMO-CDMA通信路に対する階層的平均場理論2007

    • Author(s)
      竹内啓悟, 田中利幸
    • Organizer
      日本物理学会2007年春季大会
    • Year and Date
      20070300
  • [Presentation] CDMAマルチユーザ検出における完全汎化2007

    • Author(s)
      中村一尊, 田中利幸
    • Organizer
      日本物理学会2007年春季大会
    • Year and Date
      20070300
  • [Presentation] ランダム線形ベクトル通信路の情報伝送能力の解析2006

    • Author(s)
      田中利幸
    • Organizer
      第29回情報理論とその応用シンポジウム
    • Year and Date
      20061100
  • [Presentation] 確率伝搬法にもとづくCDMAマルチユーザ検出アルゴリズムにおけるデカップリング原理2006

    • Author(s)
      池原崇至, 田中利幸
    • Organizer
      第29回情報理論とその応用シンポジウム
    • Year and Date
      20061100
  • [Presentation] シグネチャ系列がスパースなCDMAモデルについての統計力学的解析2006

    • Author(s)
      吉田実加, 田中利幸, 上江洌達也
    • Organizer
      第29回情報理論とその応用シンポジウム
    • Year and Date
      20061100
  • [Presentation] マルチユーザMIMO-CDMA通信路のスペクトル効率のレプリカ解析2006

    • Author(s)
      竹内啓悟, 田中利幸
    • Organizer
      第29回情報理論とその応用シンポジウム
    • Year and Date
      20061100
  • [Book] Advances in Multiuser Detection(Generic multiuser detection and statistical physics)2009

    • Author(s)
      Dongning Guo, Toshiyuki Tanaka
    • Total Pages
      251-309
    • Publisher
      Wiley

URL: 

Published: 2011-06-18   Modified: 2014-05-02  

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