On Perfect Difference Families and their Applications to Radar Arrays
| Project/Area Number |
21540108
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | University of Tsukuba |
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Principal Investigator |
MIAO Ying 筑波大学, システム情報系, 准教授 (10302382)
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| Co-Investigator(Kenkyū-buntansha) |
FUJI-HARA Ryoh 筑波大学, システム情報系, 教授 (30165443)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 組合せデザイン理論 / 完全差集合族 / 均質一様差行列 / レーダー配列 / 単調有向デザイン / デジタル・コンテンツ著作権保護 / 追跡アルゴリズム / 組合せ論 / レーダー配列問題 / 情報セキュリティ / マルチメディア指紋 / 分離可能符号 / マルコフ連鎖モンテカルロ法 / 多重comma-free符号 / 情報通信 / 差三角集合 / 周波数ホッピング系列 / 秘密分散法 |
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| Research Abstract |
Perfect difference families were introduced as an abstraction of the problem of spacing movable antennas in radio astronomy in the middle of 1970. Radar arrays were introduced as a generalization of the spacing movable antennas problem to high dimensions to track and control airships. In this research project, by using combinatorial design theory, many perfect difference families and related structures such as radar arrays, homogeneous uniform difference matrices and monotonic directed designs are constructed. New results are also obtained on tracing algorithms in digital contents copyright protection.
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Report
(4 results)
Research Products
(56 results)
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[Journal Article] Separable codes2012
Author(s)
M.Cheng, L.Ji, Y.Miao
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Journal Title
IEEE Transactions on Information Theory
Volume: 58
Issue: 3
Pages: 1791-1803
DOI
Related Report
Peer Reviewed
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