On Perfect Difference Families and their Applications to Radar Arrays

完全差分族及其在雷达阵列中的应用

• 批准号: 21540108
• 负责人: MIAO Ying
• 金额: $ 2.83万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540108/
• 关键词: 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

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.

引入了完美的差异家族，作为在1970年中期射电天文学中间距可移动天线的问题的抽象。引入了雷达阵列，作为将间距可移动的天线问题推广到高维度的概括，以跟踪飞艇。在该研究项目中，通过使用组合设计理论，构建了许多完美的差异家庭和相关结构，例如雷达阵列，均匀的统一差异矩阵和单调定向设计。在追踪数字内容版权保护算法时，还获得了新的结​​果。

项目成果

On Anti-Collusion Codes and Detection Algorithms for Multimedia Fingerprinting

• DOI: 10.1109/tit.2011.2146130
• 发表时间: 2011-07
• 期刊: IEEE Transactions on Information Theory
• 影响因子: 2.5
• 作者: Minquan Cheng;Y. Miao

Bounds on the sizes of separable codes

可分离代码大小的限制

• 发表时间: 2010
• 作者: M. Horiguchi;樋脇知広・山本野人;M.Yamada;Y. Miao
• 通讯作者: Y. Miao

A General Recursive Construction for Multi-Structured Designs

多结构设计的通用递归构造

• 发表时间: 2011
• 作者: E. Isogai;K. Kobayashi and C. Uno;Y. Miao;宇野 力;藤原 良叔;磯貝 英一，宇野 力;繆瑩;宇野 力;Y. Miao;Chikara Uno and Eiichi Isogai;Ryoh Fuji-Hara;Y. Miao;磯貝 英一，宇野 力，Daisy Lou Polestico;Ryoh Fuji-Hara;Chikara Uno;Ryoh Fuji-Hara;Ryoh Fuji-Hara;Y. Miao;Ryoh Fuji-Hara;Y. Miao;Y. Miao;R. Fuji-Hara;Y. Miao;R. Fuji-Hara;R. Fuji-Hara
• 通讯作者: R. Fuji-Hara

Graceful labeling of windmill graphs and additive sequences of permutations

风车图的优雅标签和排列的加法序列

• 发表时间: 2009
• 作者: Y. Miao

Special Issue in Honor of Professor Sanpei Kageyama on His Retirement from Hiroshima University, Journal of Statistics and Applications, Vol.4, No.2-3

广岛大学影山三平教授退休特刊，《统计与应用杂志》，第 4 卷，第 2-3 期

• 发表时间: 2009
• 作者: Y.Miao;H.Yanagihara(Guest Editors)
• 通讯作者: H.Yanagihara(Guest Editors)