Title :
A Hybrid Incomplete Exponential Sum With Application to Aperiodic Hamming Correlation of Some Frequency-Hopping Sequences
Author :
Zhou, Zhengchun ; Tang, Xiaohu ; Yang, Yang ; Parampalli, Udaya
Author_Institution :
Sch. of Math., Southwest Jiaotong Univ., Chengdu, China
Abstract :
In this paper, an upper bound for a hybrid incomplete exponential sum over finite fields is derived. This bound is then used to obtain lower and upper bounds for aperiodic Hamming correlation of frequency-hopping sequences based on power functions.
Keywords :
code division multiple access; correlation methods; frequency hop communication; spread spectrum communication; aperiodic Hamming correlation; finite fields; frequency-hopping sequences; incomplete exponential sum; power functions; Additives; Correlation; Educational institutions; Electronic mail; Estimation; Spread spectrum communication; Upper bound; Aperiodic correlation; Hamming correlation; exponential sum; frequency-hopping sequences (FHSs); hybrid sum;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2206109
