Construction of zero correlation zone Gaussian integer sequence set

The construction of zero correlation zone (ZCZ) Gaussian integer sequence set was researched.Based on binary orthogonal matrices,ZCZ ternary sequence sets were constructed by adding zeros at first.Then the ternary ZCZ squences were transformed into Gaussian integer sequences by using a perfect Gauss...

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Main Authors: Yu-bo LI, Jia-an SUN, Nan JING
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2017-09-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017179/
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author Yu-bo LI
Jia-an SUN
Nan JING
author_facet Yu-bo LI
Jia-an SUN
Nan JING
author_sort Yu-bo LI
collection DOAJ
description The construction of zero correlation zone (ZCZ) Gaussian integer sequence set was researched.Based on binary orthogonal matrices,ZCZ ternary sequence sets were constructed by adding zeros at first.Then the ternary ZCZ squences were transformed into Gaussian integer sequences by using a perfect Gaussian integer sequence without changing the ideal autocorrelation functions and crosscorrelation functions in the zero correlation zone.The proposed ZCZ Gaussian integer sequence sets are optimal or almost optimal with respect to the Tang-Fan-Matsufuji bound.
format Article
id doaj-art-b6f3b861cc0b4b58915de2618ce34ad1
institution Kabale University
issn 1000-436X
language zho
publishDate 2017-09-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-b6f3b861cc0b4b58915de2618ce34ad12025-01-14T07:12:55ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2017-09-0138253059711966Construction of zero correlation zone Gaussian integer sequence setYu-bo LIJia-an SUNNan JINGThe construction of zero correlation zone (ZCZ) Gaussian integer sequence set was researched.Based on binary orthogonal matrices,ZCZ ternary sequence sets were constructed by adding zeros at first.Then the ternary ZCZ squences were transformed into Gaussian integer sequences by using a perfect Gaussian integer sequence without changing the ideal autocorrelation functions and crosscorrelation functions in the zero correlation zone.The proposed ZCZ Gaussian integer sequence sets are optimal or almost optimal with respect to the Tang-Fan-Matsufuji bound.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017179/Gaussian integer sequencezero correlation zone (ZCZ)orthogonal matrixperfect sequence
spellingShingle Yu-bo LI
Jia-an SUN
Nan JING
Construction of zero correlation zone Gaussian integer sequence set
Tongxin xuebao
Gaussian integer sequence
zero correlation zone (ZCZ)
orthogonal matrix
perfect sequence
title Construction of zero correlation zone Gaussian integer sequence set
title_full Construction of zero correlation zone Gaussian integer sequence set
title_fullStr Construction of zero correlation zone Gaussian integer sequence set
title_full_unstemmed Construction of zero correlation zone Gaussian integer sequence set
title_short Construction of zero correlation zone Gaussian integer sequence set
title_sort construction of zero correlation zone gaussian integer sequence set
topic Gaussian integer sequence
zero correlation zone (ZCZ)
orthogonal matrix
perfect sequence
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017179/
work_keys_str_mv AT yuboli constructionofzerocorrelationzonegaussianintegersequenceset
AT jiaansun constructionofzerocorrelationzonegaussianintegersequenceset
AT nanjing constructionofzerocorrelationzonegaussianintegersequenceset