Paper Info
Title
Balanced quaternary sequences of even period with optimal autocorrelation
Abstract
In many communication systems, sequences with low correlation can reduce interference and noise. Tang and Lindner presented a construction of low autocorrelation quaternary sequences of period <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</italic> based on cyclotomy, where <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><alternatives><tex-math notation="LaTeX">$p=4f+1=x^2+4y^2$</tex-math><mml:math overflow="scroll"><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn><mml:mi>f</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>=</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn>4</mml:mn><mml:msup><mml:mi>y</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math><inline-graphic xlink:href="IET-COM.2018.5192.IM1.gif"/></alternatives></inline-formula> is a prime ( <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">f</italic> , <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">y</italic> are integers and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><alternatives><tex-math notation="LaTeX">$x\equiv 1\;({\rm mod}\;4 )$</tex-math><mml:math overflow="scroll"><mml:mi>x</mml:mi><mml:mo>≡</mml:mo><mml:mn>1</mml:mn><mml:mspace width="thickmathspace"/><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi mathvariant="normal">mod</mml:mi></mml:mrow><mml:mspace width="thickmathspace"/><mml:mn>4</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math><inline-graphic xlink:href="IET-COM.2018.5192.IM2.gif"/></alternatives></inline-formula> ). In this study, a class of quaternary sequences of period 2 <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</italic> are proposed via interleaving two Tang-Lindner sequences of period <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</italic> . New quaternary sequences of period 2 <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p</italic> are balanced and have optimal autocorrelation when <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><alternatives><tex-math notation="LaTeX">$x=1$</tex-math><mml:math overflow="scroll"><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math><inline-graphic xlink:href="IET-COM.2018.5192.IM3.gif"/></alternatives></inline-formula> .
Year
DOI
Venue
2019
10.1049/iet-com.2018.5192
IET Communications
Keywords
DocType
Volume
correlation methods,sequences,interference suppression
Journal
13
Issue
ISSN
Citations 
12
1751-8628
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Lianfei Luo100.68
Wenping Ma2374.61