Integer-valued Alexis sequences with large zero correlation zone

Wei-Wen Hu

doi:10.3934/amc.2017037

Article Contents

2017, Volume 11, Issue 3: 445-452. Doi: 10.3934/amc.2017037

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Integer-valued Alexis sequences with large zero correlation zone

Wei-Wen Hu

Department of Electronic Engineering, Southern Taiwan University of Science and Technology, No. 1, Nan-Tai Street, Yungkang Dist., Tainan City 710, Taiwan

Received: December 31, 2014

Revised: January 31, 2016

Published: September 2017

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Abstract

In this paper, a new class of integer-valued Alexis sequences with length N = 2 (mod 4) is proposed and constructed by using integer-valued almost-perfect sequences obtained from three integer-valued elementary sequences. Compared with binary Alexis sequences, the proposed integer-valued Alexis sequences have a larger zero correlation zone (ZCZ). In addition, the maximal energy efficiency of the proposed sequences is investigated.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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Table 1. Comparisons of ZCZ between binary and proposed sequences

$N_a$	binary Alexis sequences [1]	integer-valued Alexis sequences
10	4	5
14	5	6
18	7	8
22	8	10
26	8	12
30	unknown	14

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References

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