On the peak-to-average power ratio of M-sequences

被引：2
|
作者：
Alrod, I
Litsyn, S [1 ]
Yudin, A
机构：
[1] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel
[2] Vladimir State Pedag Univ, Dept Math, Vladimir 600024, Russia
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2006年 / 12卷 / 01期
关键词：
exponential sums; Gaussian sums; peak-to-average power ratio; M-sequences;
D O I：
10.1016/j.ffa.2005.04.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that in the finite field F = Fq, q = 2(m), with a primitive element alpha, there exists a nonzero element beta such that (max)(t is an element of[0,1)) vertical bar Sigma(q-2)(k=0)(-1)(Tr(beta alpha k))(2 pi ikt)(e)vertical bar >= 1/pi root 2 root q ln ln q. As an application of this result we show that the peak-to-average power ratio of the maximallength shift-register sequences (M-sequences) tends to infinity when their length grows. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：139 / 150
页数：12
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