Special orthogonal matrices: existence, enumeration and applications

特殊正交矩阵：存在性、枚举及应用

• 批准号: 104972-2013
• 负责人: Kharaghani, Hadi
• 金额: $ 1.09万
• 依托单位: University of Lethbridge
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=521897
• 关键词: Special; orthogonal; matrices; existence; enumeration

My research is mostly on Hadamard matrices and their applications. Did we ever wonder how pictures from a very long distance are transmitted? The high quality colour pictures that we have seen from other planets are transmitted using very sophisticated mathematically based technologies. Any digitally transmitted data is subject to errors. In order to minimize the errors, the data are coded before transmission and decoded after retrieval. Similar sort of technologies are used in storing data on CD's and DVD's.

我的研究主要集中在Hadamard矩阵及其应用方面。我们有没有想过，从非常远的距离拍摄的图片是如何传输的？我们从其他星球上看到的高质量彩色图像是使用非常复杂的基于数学的技术传输的。任何以数字方式传输的数据都容易出错。为了最大限度地减少误差，数据在传输之前被编码，在检索之后被解码。类似的技术也被用于在CD和DVD上存储数据。