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Lattice Codes for Gaussian Wireless Networks Beyond 5G

Research Project

Project/Area Number 19H02137
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 21020:Communication and network engineering-related
Research InstitutionJapan Advanced Institute of Science and Technology

Principal Investigator

KURKOSKI Brian  北陸先端科学技術大学院大学, 先端科学技術研究科, 教授 (80444123)

Co-Investigator(Kenkyū-buntansha) 落合 秀樹  横浜国立大学, 大学院工学研究院, 教授 (20334576)
Project Period (FY) 2019-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥15,340,000 (Direct Cost: ¥11,800,000、Indirect Cost: ¥3,540,000)
Fiscal Year 2022: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2021: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2020: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2019: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Keywords情報理論 / 符号理論 / 格子 / 無線通信 / lattices / information theory / coding theory / wireless networks / wireless communications / lattice / network codes / Information theory
Outline of Research at the Start

While wireless 5G networks are moving towards deployment, there is an ever-increasing demand for increased spectrum efficiency, reduced latency for IoT and massive connectivity. In "Wireless Networks Beyond 5G" we use lattice codes to achieve these goals. Theoretical results have shown that lattice codes can significantly improve spectrum efficiency, but few practical codes exist. This research provides practical and explicit lattice code constructions to achieve these goals. Another goal is to evaluate these lattice codes on various mathematical models of wireless communication networks.

Outline of Final Research Achievements

We developed new lattice codes and evaluated their suitability for wireless communication networks. We designed practical new lattice codes based on LDPC codes with (1) high coding gain (2) highest known shaping gain of 1.25 dB (3) efficient shaping algorithm. We designed polar code lattices which have error rates close to best-known BCH lattice codes, but with much lower decoding complexity, in dimension 128. The concept of retry decoding for lattices was introduced, and showed a possible error-rate improvement of 0.5 dB by developing a mathematical bound. The error rates and efficiency of complex LDLC lattices were improved using Eisenstein integers. For integer-forcing MIMO, we showed that orthogonal precoding gives lower error rates than conventional unitary precoding. Sparse regression codes with irregular clipping achieves a 2.2 dB improvement over regular clipping.

Academic Significance and Societal Importance of the Research Achievements

現在、社会は広く無線通信に依存している。ワイヤレス・ネットワークのさらなる改善を達成するために、情報理論に基づく格子ベースの結果は非常に有望であるが、無限次元格子を前提としていた。本研究は、有限長の格子符号を開発することにより、「理論」を「実践」に移す重要なステップである。本研究で開発した格子は、研究者や産業界が実用的なシステムを設計するために利用することができる。

Report

(5 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • Research Products

    (21 results)

All 2023 2022 2021 2020 2019

All Journal Article (8 results) (of which Int'l Joint Research: 6 results,  Peer Reviewed: 6 results,  Open Access: 3 results) Presentation (13 results) (of which Int'l Joint Research: 9 results,  Invited: 3 results)

  • [Journal Article] Algebra of L-Banded Matrices2023

    • Author(s)
      Huang Shunqi、Liu Lei、Kurkoski Brian M.
    • Journal Title

      IEEE Access

      Volume: 11 Pages: 17658-17664

    • DOI

      10.1109/access.2023.3244780

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Construction D’ Lattices for Power-Constrained Communications2022

    • Author(s)
      Zhou Fan、Kurkoski Brian M.
    • Journal Title

      IEEE Transactions on Communications

      Volume: 70 Issue: 4 Pages: 2200-2212

    • DOI

      10.1109/tcomm.2022.3147235

    • Related Report
      2022 Annual Research Report 2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Memory AMP2022

    • Author(s)
      Liu Lei、Huang Shunqi、Kurkoski Brian M.
    • Journal Title

      IEEE Transactions on Information Theory

      Volume: 68 Issue: 12 Pages: 8015-8039

    • DOI

      10.1109/tit.2022.3186166

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Design of Polar Code Lattices of Small Dimension2021

    • Author(s)
      Obed Rhesa Ludwiniananda, Ning Liu, Khoirul Anwar, Brian M. Kurkoski
    • Journal Title

      arXiv

      Volume: 2102.03998 Pages: 1-6

    • Related Report
      2020 Annual Research Report
    • Open Access
  • [Journal Article] Encoding and Decoding Construction D' Lattices for Power-Constrained Communications2021

    • Author(s)
      Fan Zhou, Arini Fitri, Khoirul Anwar, Brian M. Kurkoski
    • Journal Title

      arXiv

      Volume: 2102.04741 Pages: 1-6

    • Related Report
      2020 Annual Research Report
    • Open Access
  • [Journal Article] Capacity-Approaching Polar Codes With Long Codewords and Successive Cancellation Decoding Based on Improved Gaussian Approximation2021

    • Author(s)
      Ochiai Hideki, Mitran Patrick, H. Vincent Poor
    • Journal Title

      IEEE Transactions on Communications

      Volume: 69 Issue: 1 Pages: 31-43

    • DOI

      10.1109/tcomm.2020.3030057

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Steepest Gradient-Based Orthogonal Precoder for Integer-Forcing MIMO2020

    • Author(s)
      Hasan Mohammad Nur、Kurkoski Brian M.、Sakzad Amin、Viterbo Emanuele
    • Journal Title

      IEEE Transactions on Wireless Communications

      Volume: 19 Issue: 2 Pages: 942-955

    • DOI

      10.1109/twc.2019.2950010

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A Novel PAPR Reduction Scheme for Polar-Coded OFDM Systems2019

    • Author(s)
      Matsumine Toshiki、Ochiai Hideki
    • Journal Title

      IEEE Communications Letters

      Volume: 23 Issue: 12 Pages: 2372-2375

    • DOI

      10.1109/lcomm.2019.2943334

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] CRC-Enabled Lattices for Multiuser Communication2023

    • Author(s)
      Xue Jiajie、Kurkoski Brian M.
    • Organizer
      Information Theory and Applications Workshop
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Lower Bound on the Error Rate of Genie-Aided Lattice Decoding2022

    • Author(s)
      Xue Jiajie、Kurkoski Brian M.
    • Organizer
      2022 IEEE International Symposium on Information Theory
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Sufficient Statistic Memory Approximate Message Passing2022

    • Author(s)
      Liu Lei、Huang Shunqi、Kurkoski Brian M.
    • Organizer
      2022 IEEE International Symposium on Information Theory
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Lattice decoding based on exhaustive search over scaling factor2022

    • Author(s)
      Xue Jiajie、Kurkoski Brian M.
    • Organizer
      電子情報通信学会技術研究報告
    • Related Report
      2022 Annual Research Report
  • [Presentation] Reliability-Based Decoding of Complex Low-Density Lattice Codes2021

    • Author(s)
      Wiriya Warangrat、Kurkoski Brian M.
    • Organizer
      Proceedings of the IEEE Information Theory Workshop
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Irregularly Clipped Sparse Regression Codes2021

    • Author(s)
      Li Wencong、Liu Lei、Kurkoski Brian M.
    • Organizer
      Proceedings of the IEEE Information Theory Workshop
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Zhou Fan、Fitri Arini、Anwar Khoirul、Kurkoski Brian M.2021

    • Author(s)
      Encoding and Decoding Construction D' Lattices for Power-Constrained Communications
    • Organizer
      Proceedings of IEEE International Symposium on Information Theory
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Design of Polar Code Lattices of Finite Dimension2021

    • Author(s)
      Ludwiniananda Obed Rhesa、Liu Ning、Anwar Khoirul、Kurkoski Brian M.
    • Organizer
      Proceedings of IEEE International Symposium on Information Theory
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Memory Approximate Message Passing2021

    • Author(s)
      Liu Lei、Huang Shunqi、Kurkoski Brian M.
    • Organizer
      Proceedings of IEEE International Symposium on Information Theory
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On Design of Multilevel Coded Modulation Based on CRC-Concatenated Polar Codes2020

    • Author(s)
      Y. Yajima and H. Ochiai
    • Organizer
      2020 IEEE 17th Annual Consumer Communications & Networking Conference (CCNC)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Orthogonal Precoder for Integer-Forcing MIMO2019

    • Author(s)
      Hasan Mohammad Nur、Kurkoski Brian M.、Sakzad Amin、Viterbo Emanuele
    • Organizer
      2019 IEEE International Symposium on Information Theory
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] From classification to quantization: Machine learning for communications2019

    • Author(s)
      Brian M. Kurkoski
    • Organizer
      Symposium on Future of Telecommunication Technologies (Kuala Lumpur, Malaysia)
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Introduction to lattice coding theory2019

    • Author(s)
      Brian M. Kurkoski
    • Organizer
      Studium Generale at Telkom University (Bandung, Indonesia)
    • Related Report
      2019 Annual Research Report
    • Invited

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Published: 2019-04-18   Modified: 2024-01-30  

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