This letter presents a framework, including two constructions, for yielding several types of sequences with optimal autocorrelation properties. Only by simply choosing proper coefficients in constructions and optimal known sequences, two constructions transform the chosen sequences into optimally required ones with two or four times periods as long as the original sequences', respectively. These two constructions result in binary and quaternary sequences with optimal autocorrelation values (OAVs), perfect QPSK+ sequences, and multilevel perfect sequences, depending on choices of the known sequences employed. In addition, Construction 2 is a generalization of Construction B in [5] so that the number of distinct sequences from the former is larger than the one from the latter.
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Fanxin ZENG, Xiaoping ZENG, Xiangyong ZENG, Zhenyu ZHANG, Guixin XUAN, "Several Types of Sequences with Optimal Autocorrelation Properties" in IEICE TRANSACTIONS on Fundamentals,
vol. E96-A, no. 1, pp. 367-372, January 2013, doi: 10.1587/transfun.E96.A.367.
Abstract: This letter presents a framework, including two constructions, for yielding several types of sequences with optimal autocorrelation properties. Only by simply choosing proper coefficients in constructions and optimal known sequences, two constructions transform the chosen sequences into optimally required ones with two or four times periods as long as the original sequences', respectively. These two constructions result in binary and quaternary sequences with optimal autocorrelation values (OAVs), perfect QPSK+ sequences, and multilevel perfect sequences, depending on choices of the known sequences employed. In addition, Construction 2 is a generalization of Construction B in [5] so that the number of distinct sequences from the former is larger than the one from the latter.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E96.A.367/_p
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@ARTICLE{e96-a_1_367,
author={Fanxin ZENG, Xiaoping ZENG, Xiangyong ZENG, Zhenyu ZHANG, Guixin XUAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Several Types of Sequences with Optimal Autocorrelation Properties},
year={2013},
volume={E96-A},
number={1},
pages={367-372},
abstract={This letter presents a framework, including two constructions, for yielding several types of sequences with optimal autocorrelation properties. Only by simply choosing proper coefficients in constructions and optimal known sequences, two constructions transform the chosen sequences into optimally required ones with two or four times periods as long as the original sequences', respectively. These two constructions result in binary and quaternary sequences with optimal autocorrelation values (OAVs), perfect QPSK+ sequences, and multilevel perfect sequences, depending on choices of the known sequences employed. In addition, Construction 2 is a generalization of Construction B in [5] so that the number of distinct sequences from the former is larger than the one from the latter.},
keywords={},
doi={10.1587/transfun.E96.A.367},
ISSN={1745-1337},
month={January},}
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TY - JOUR
TI - Several Types of Sequences with Optimal Autocorrelation Properties
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 367
EP - 372
AU - Fanxin ZENG
AU - Xiaoping ZENG
AU - Xiangyong ZENG
AU - Zhenyu ZHANG
AU - Guixin XUAN
PY - 2013
DO - 10.1587/transfun.E96.A.367
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E96-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2013
AB - This letter presents a framework, including two constructions, for yielding several types of sequences with optimal autocorrelation properties. Only by simply choosing proper coefficients in constructions and optimal known sequences, two constructions transform the chosen sequences into optimally required ones with two or four times periods as long as the original sequences', respectively. These two constructions result in binary and quaternary sequences with optimal autocorrelation values (OAVs), perfect QPSK+ sequences, and multilevel perfect sequences, depending on choices of the known sequences employed. In addition, Construction 2 is a generalization of Construction B in [5] so that the number of distinct sequences from the former is larger than the one from the latter.
ER -