On The Average Partial Hamming Correlation of Frequency-Hopping Sequences

被引：6
|
作者：
Ren, Wenli [1 ,2 ]
Fu, Fang-Wei [1 ]
Zhou, Zhengchun [3 ]
机构：
[1] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
[2] Dezhou Univ, Dept Math, Dezhou 253023, Shandong, Peoples R China
[3] Southwest Jiaotong Univ, Sch Math, Chengdu, Peoples R China
来源：
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2013年 / E96A卷 / 05期
基金：
中国国家自然科学基金;
关键词：
frequency-hopping sequence; Hamming correlation; partial correlation; average correlation; CONSTRUCTIONS; BOUNDS; SETS;
D O I：
10.1587/transfun.E96.A.1010
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
The average Hamming correlation is an important performance indicator of frequency-hopping sequences (FHSs). In this letter, the average partial Hamming correlation (APHC) properties of FHSs are discussed. Firstly, the theoretical bound on the average partial Hamming correlation of FHSs is established. It works for any correlation window with length 1 <= omega <= upsilon, where upsilon is the sequence period, and generalizes the bound developed by Peng et al which is valid only when omega = upsilon. A sufficient and necessary condition for a set of FHSs having optimal APHC for any correlation window is then given. Finally, sets of FHSs with optimal APHC are presented.
引用
收藏
页码：1010 / 1013
页数：4
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