2011 Fiscal Year Final Research Report
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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| 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 |
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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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