Algebraic Construction of Optimal Frequency Hopping Patterns Based on Welch Costas Arrays

被引：3
|
作者：
Yao, Jianguo [1 ]
Jiang, Rui [1 ]
Heng, Wei [2 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Coll Telecommun & Informat Engn, Nanjing 210003, Peoples R China
[2] Southeast Univ, Natl Mobile Commun Res Lab, Nanjing 210096, Peoples R China
来源：
IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY | 2020年 / 69卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Optimal frequency hopping patterns; Welch Costas arrays; cross-correlation function; two-dimensional cyclic shift; finite fields; CROSS-CORRELATION; NUMBER; DESIGN; HOPS;
D O I：
10.1109/TVT.2019.2961417
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper systematically expounded the theory of optimal frequency hopping patterns based on Welch Costas arrays with 1-gap row, a theory established after studying the properties and mathematical models of the frequency hopping patterns obtained by making two-dimensional cyclic shift to Welch Costas arrays. The algebraic construction and the autocorrelation and cross-correlation properties of the Welch Costas arrays with 1-gap row were studied and certain theorems were proved. The optimal frequency hopping patterns will have ideal autocorrelation and cross-correlation when designed by means of Welch Costas arrays with 1-gap row.
引用
收藏
页码：1841 / 1854
页数：14
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