Binary Arrays with Desirable Correlation Properties

具有所需相关属性的二元数组

• 批准号: 9200265
• 负责人: K.T. Arasu
• 金额: $ 13.19万
• 依托单位: Wright State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-08-15 至 1997-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9200265&HistoricalAwards=false
• 关键词: Binary; Arrays; Desirable; Correlation; Properties

This project treats time-discrete one- and two-dimensional sequences and arrays with good correlation properties. Such sequences find applications in signal processing and as aperture functions for electromagnetic and acoustic imaging. Applications of two dimensional perfect binary arrays are found in 2-D synchronization and time-frequency coding. Higher dimensional arrays are used in channel coding and in cryptographic coding. This work has three topics under study: perfect binary arrays, dot-matrix patterns with certain correlation requirements, and periodic complementary sequences. These problems are studied via their respective algebraic formulations viz. difference sets, relative (divisible) difference sets and difference families. Various algebraic, number theoretic and geometric ideas have been used recently with some success in constructing these arrays and some generalizations.

这个项目处理具有良好相关特性的时间离散的一维和二维序列和数组。这种序列在信号处理以及电磁和声学成像的孔径函数中得到应用。二维最佳二进制阵列在二维同步和时频编码中有广泛的应用。在信道编码和密码编码中使用更高维数组。这项工作有三个主题正在研究中：最佳二进制阵列，具有一定相关要求的点阵模式，以及周期互补序列。这些问题是通过它们各自的代数公式来研究的，即。差集、相对(可分)差集和差族。最近，各种代数、数论和几何思想被用来构造这些阵列和一些推广，并取得了一些成功。