Constructions of Gaussian Integer Periodic Complementary Sequences with ZCZ

Deming KONG; Xiaoyu CHEN; Yubo LI

doi:10.1587/transfun.E100.A.2056

Constructions of Gaussian Integer Periodic Complementary Sequences with ZCZ

Deming KONG, Xiaoyu CHEN, Yubo LI

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This letter presents two constructions of Gaussian integer Z-periodic complementary sequences (ZPCSs), which can be used in multi-carriers code division multiple access (MC-CDMA) systems to remove interference and increase transmission rate. Construction I employs periodic complementary sequences (PCSs) as the original sequences to construct ZPCSs, the parameters of which can achieve the theoretical bound if the original PCS set is optimal. Construction II proposes a construction for yielding Gaussian integer orthogonal matrices, then the methods of zero padding and modulation are implemented on the Gaussian integer orthogonal matrix. The result Gaussian integer ZPCS sets are optimal and with flexible choices of parameters.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.9 pp.2056-2060

Publication Date: 2017/09/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E100.A.2056

Type of Manuscript: LETTER

Category: Coding Theory

Authors

Deming KONG
  Yanshan University
Xiaoyu CHEN
  Yanshan University
Yubo LI
  Yanshan University

Keyword

complementary sequence, zero correlation zone, Gaussian integer

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Deming KONG, Xiaoyu CHEN, Yubo LI, "Constructions of Gaussian Integer Periodic Complementary Sequences with ZCZ" in IEICE TRANSACTIONS on Fundamentals, vol. E100-A, no. 9, pp. 2056-2060, September 2017, doi: 10.1587/transfun.E100.A.2056.
Abstract: This letter presents two constructions of Gaussian integer Z-periodic complementary sequences (ZPCSs), which can be used in multi-carriers code division multiple access (MC-CDMA) systems to remove interference and increase transmission rate. Construction I employs periodic complementary sequences (PCSs) as the original sequences to construct ZPCSs, the parameters of which can achieve the theoretical bound if the original PCS set is optimal. Construction II proposes a construction for yielding Gaussian integer orthogonal matrices, then the methods of zero padding and modulation are implemented on the Gaussian integer orthogonal matrix. The result Gaussian integer ZPCS sets are optimal and with flexible choices of parameters.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.2056/_p

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@ARTICLE{e100-a_9_2056,
author={Deming KONG, Xiaoyu CHEN, Yubo LI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Constructions of Gaussian Integer Periodic Complementary Sequences with ZCZ},
year={2017},
volume={E100-A},
number={9},
pages={2056-2060},
abstract={This letter presents two constructions of Gaussian integer Z-periodic complementary sequences (ZPCSs), which can be used in multi-carriers code division multiple access (MC-CDMA) systems to remove interference and increase transmission rate. Construction I employs periodic complementary sequences (PCSs) as the original sequences to construct ZPCSs, the parameters of which can achieve the theoretical bound if the original PCS set is optimal. Construction II proposes a construction for yielding Gaussian integer orthogonal matrices, then the methods of zero padding and modulation are implemented on the Gaussian integer orthogonal matrix. The result Gaussian integer ZPCS sets are optimal and with flexible choices of parameters.},
keywords={},
doi={10.1587/transfun.E100.A.2056},
ISSN={1745-1337},
month={September},}

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TY - JOUR
TI - Constructions of Gaussian Integer Periodic Complementary Sequences with ZCZ
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2056
EP - 2060
AU - Deming KONG
AU - Xiaoyu CHEN
AU - Yubo LI
PY - 2017
DO - 10.1587/transfun.E100.A.2056
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2017
AB - This letter presents two constructions of Gaussian integer Z-periodic complementary sequences (ZPCSs), which can be used in multi-carriers code division multiple access (MC-CDMA) systems to remove interference and increase transmission rate. Construction I employs periodic complementary sequences (PCSs) as the original sequences to construct ZPCSs, the parameters of which can achieve the theoretical bound if the original PCS set is optimal. Construction II proposes a construction for yielding Gaussian integer orthogonal matrices, then the methods of zero padding and modulation are implemented on the Gaussian integer orthogonal matrix. The result Gaussian integer ZPCS sets are optimal and with flexible choices of parameters.
ER -