2020 Fiscal Year Annual Research Report
Lattice Codes for Gaussian Wireless Networks Beyond 5G
| Project/Area Number |
19H02137
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| Research Institution | Japan Advanced Institute of Science and Technology |
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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)
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| 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)
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| Project Period (FY) |
2019-04-01 – 2023-03-31
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| Keywords | lattice / network codes / wireless communications / Information theory / coding theory |
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| Outline of Annual Research Achievements |
Designs of two new lattices were proposed, with the aim of increasing the bandwidth efficiency & reducing energy consumption for future wireless networks. The first lattice is based on polar codes, where we overcame the challenge of selecting the component code rates using extensive numerical simulations to find a polar code lattice with lower decoding complexity than, and decoder error rates approaching, competing BCH code lattices. The second lattice design is based on quasi-cyclic low-density parity-check codes, where we used an innovative binary integer programming approach to design a parity-check matrix to satisfy the design constraints of the LDPC code, as well as those imposed by the Construction D' lattice restrictions.
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
We conducted research leading to two major conference papers which have already been accepted for publication in June 2021.
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| Strategy for Future Research Activity |
For 2021, the plan is separated into four work packages WP1-WP4:
(WP1) Lattice codes using Construction D applied to binary polar codes are designed. To minimize the decoding error rate, density evolution under successive-cancelation decoding is used to find the component codes with the maximum possible code rate.
(WP2) Network Lattice Codes: We design LDPC code lattices using Construction D’ which further can be shaped using convolutional code lattices.
(WP3) We will develop finite-length lattice codes and strategies for the Gaussian CEO problem, in order to increase the throughput of distributed source coding systems.
(WP4) We design new lattice codes for compute-forward wireless networking by concentrating on finite-dimensional lattices.
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