In this paper, a new construction method of quaternary sequences of even period 2N having the ideal autocorrelation and balance properties is proposed. These quaternary sequences are constructed by applying the inverse Gray mapping to binary sequences of odd period N with the ideal autocorrelation. Autocorrelation distribution of the proposed quaternary sequences is derived. These sequences can be used to construct quaternary sequence families of even period 2N. Family size and the maximum absolute value of correlation spectrum of the proposed quaternary sequence families are also derived.
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Taehyung LIM, Jong-Seon NO, Habong CHUNG, "New Construction of Quaternary Sequences with Good Correlation Using Binary Sequences with Good Correlation" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 8, pp. 1701-1705, August 2011, doi: 10.1587/transfun.E94.A.1701.
Abstract: In this paper, a new construction method of quaternary sequences of even period 2N having the ideal autocorrelation and balance properties is proposed. These quaternary sequences are constructed by applying the inverse Gray mapping to binary sequences of odd period N with the ideal autocorrelation. Autocorrelation distribution of the proposed quaternary sequences is derived. These sequences can be used to construct quaternary sequence families of even period 2N. Family size and the maximum absolute value of correlation spectrum of the proposed quaternary sequence families are also derived.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1701/_p
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@ARTICLE{e94-a_8_1701,
author={Taehyung LIM, Jong-Seon NO, Habong CHUNG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Construction of Quaternary Sequences with Good Correlation Using Binary Sequences with Good Correlation},
year={2011},
volume={E94-A},
number={8},
pages={1701-1705},
abstract={In this paper, a new construction method of quaternary sequences of even period 2N having the ideal autocorrelation and balance properties is proposed. These quaternary sequences are constructed by applying the inverse Gray mapping to binary sequences of odd period N with the ideal autocorrelation. Autocorrelation distribution of the proposed quaternary sequences is derived. These sequences can be used to construct quaternary sequence families of even period 2N. Family size and the maximum absolute value of correlation spectrum of the proposed quaternary sequence families are also derived.},
keywords={},
doi={10.1587/transfun.E94.A.1701},
ISSN={1745-1337},
month={August},}
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TY - JOUR
TI - New Construction of Quaternary Sequences with Good Correlation Using Binary Sequences with Good Correlation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1701
EP - 1705
AU - Taehyung LIM
AU - Jong-Seon NO
AU - Habong CHUNG
PY - 2011
DO - 10.1587/transfun.E94.A.1701
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2011
AB - In this paper, a new construction method of quaternary sequences of even period 2N having the ideal autocorrelation and balance properties is proposed. These quaternary sequences are constructed by applying the inverse Gray mapping to binary sequences of odd period N with the ideal autocorrelation. Autocorrelation distribution of the proposed quaternary sequences is derived. These sequences can be used to construct quaternary sequence families of even period 2N. Family size and the maximum absolute value of correlation spectrum of the proposed quaternary sequence families are also derived.
ER -