New construction of mutually orthogonal complementary sequence sets

To address the limitations in design methods and the scarcity of construction parameters for mutual orthogonal complementary sequence set (MOCSS), a construction method for MOCSS based on paraunitary (PU) matrices was proposed. The new concept of coefficient paraunitary (CPU) matrices was defined, a...

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Main Authors: LIU Kai, MENG Fanfei, PENG Peidong
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2024-09-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024156/
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author LIU Kai
MENG Fanfei
PENG Peidong
author_facet LIU Kai
MENG Fanfei
PENG Peidong
author_sort LIU Kai
collection DOAJ
description To address the limitations in design methods and the scarcity of construction parameters for mutual orthogonal complementary sequence set (MOCSS), a construction method for MOCSS based on paraunitary (PU) matrices was proposed. The new concept of coefficient paraunitary (CPU) matrices was defined, and by employing matrix multiplication, Kronecker product, and matrix iteration techniques, three types of PU matrices with varying sizes were constructed. Utilizing the equivalence between PU matrices and MOCSS, a series of multi-phase MOCSS with flexible parameter selection were developed, filling the parameter gap in the existing literature. Considering the suppression of peak-to-average power ratio (PAPR) in multi-carrier code division multiple access (MC-CDMA) systems, a class of CPU matrices with low column vector PAPR characteristics was designed using Boolean functions. Experimental results demonstrate that the constructed MOCSS using such CPU matrices effectively controls the column sequence PAPR within the range of below two, while maintaining the flexibility of code capacity and length, providing a variety of signal selection options for the systems.
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institution Kabale University
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publisher Editorial Department of Journal on Communications
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spelling doaj-art-0f7e40904eab4e878f98d2406032de6e2025-01-14T07:25:01ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2024-09-014514415273358965New construction of mutually orthogonal complementary sequence setsLIU KaiMENG FanfeiPENG PeidongTo address the limitations in design methods and the scarcity of construction parameters for mutual orthogonal complementary sequence set (MOCSS), a construction method for MOCSS based on paraunitary (PU) matrices was proposed. The new concept of coefficient paraunitary (CPU) matrices was defined, and by employing matrix multiplication, Kronecker product, and matrix iteration techniques, three types of PU matrices with varying sizes were constructed. Utilizing the equivalence between PU matrices and MOCSS, a series of multi-phase MOCSS with flexible parameter selection were developed, filling the parameter gap in the existing literature. Considering the suppression of peak-to-average power ratio (PAPR) in multi-carrier code division multiple access (MC-CDMA) systems, a class of CPU matrices with low column vector PAPR characteristics was designed using Boolean functions. Experimental results demonstrate that the constructed MOCSS using such CPU matrices effectively controls the column sequence PAPR within the range of below two, while maintaining the flexibility of code capacity and length, providing a variety of signal selection options for the systems.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024156/mutual orthogonal complementary sequence setcoefficient paraunitary matrixparaunitary matrixpeak-to-average power ratio
spellingShingle LIU Kai
MENG Fanfei
PENG Peidong
New construction of mutually orthogonal complementary sequence sets
Tongxin xuebao
mutual orthogonal complementary sequence set
coefficient paraunitary matrix
paraunitary matrix
peak-to-average power ratio
title New construction of mutually orthogonal complementary sequence sets
title_full New construction of mutually orthogonal complementary sequence sets
title_fullStr New construction of mutually orthogonal complementary sequence sets
title_full_unstemmed New construction of mutually orthogonal complementary sequence sets
title_short New construction of mutually orthogonal complementary sequence sets
title_sort new construction of mutually orthogonal complementary sequence sets
topic mutual orthogonal complementary sequence set
coefficient paraunitary matrix
paraunitary matrix
peak-to-average power ratio
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2024156/
work_keys_str_mv AT liukai newconstructionofmutuallyorthogonalcomplementarysequencesets
AT mengfanfei newconstructionofmutuallyorthogonalcomplementarysequencesets
AT pengpeidong newconstructionofmutuallyorthogonalcomplementarysequencesets