Orthogonal designs, Hadamard matrices and applications

正交设计、Hadamard 矩阵及其应用

• 批准号: 104972-2008
• 负责人: Kharaghani, Hadi
• 金额: $ 1.6万
• 依托单位: University of Lethbridge
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Group
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=475251
• 关键词: Orthogonal; designs; Hadamard; matrices; applications

A Hadamard matrix is an optimal square arrangement of 1's and -1's. The optimality property of such matrices make them very convenient for coding purposes. Orthogonal designs are objects which include Hadamard matrices. An old problem predicts the existence of Hadamard matrices subject to a simple restriction on the size of the matrices. There are many problems related to orthogonal designs whose solution may lead to a resolution of this prediction.

阿达玛矩阵是1和-1的最优平方排列。这种矩阵的最优性使得它们在编码时非常方便。正交设计是包含阿达玛矩阵的对象。一个老问题预测了阿达玛矩阵在矩阵大小上的一个简单限制下的存在性。有许多与正交设计有关的问题，它们的解决可能导致这种预测的解决。