A quaternary sequence is constructed by Gray mapping of a binary sequence with even period and its shift. The autocorrelation of the new quaternary sequence is the same as that of the binary sequence employed. Quaternary sequences with the maximum autocorrelation 2 can be obtained by the construction for period N≡ 2 ( mod 4).
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Ji-Woong JANG, Sang-Hyo KIM, "Quaternary Sequences with Good Autocorrelation Constructed by Gray Mapping" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 8, pp. 2139-2140, August 2009, doi: 10.1587/transfun.E92.A.2139.
Abstract: A quaternary sequence is constructed by Gray mapping of a binary sequence with even period and its shift. The autocorrelation of the new quaternary sequence is the same as that of the binary sequence employed. Quaternary sequences with the maximum autocorrelation 2 can be obtained by the construction for period N≡ 2 ( mod 4).
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.2139/_p
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@ARTICLE{e92-a_8_2139,
author={Ji-Woong JANG, Sang-Hyo KIM, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Quaternary Sequences with Good Autocorrelation Constructed by Gray Mapping},
year={2009},
volume={E92-A},
number={8},
pages={2139-2140},
abstract={A quaternary sequence is constructed by Gray mapping of a binary sequence with even period and its shift. The autocorrelation of the new quaternary sequence is the same as that of the binary sequence employed. Quaternary sequences with the maximum autocorrelation 2 can be obtained by the construction for period N≡ 2 ( mod 4).},
keywords={},
doi={10.1587/transfun.E92.A.2139},
ISSN={1745-1337},
month={August},}
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TY - JOUR
TI - Quaternary Sequences with Good Autocorrelation Constructed by Gray Mapping
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2139
EP - 2140
AU - Ji-Woong JANG
AU - Sang-Hyo KIM
PY - 2009
DO - 10.1587/transfun.E92.A.2139
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2009
AB - A quaternary sequence is constructed by Gray mapping of a binary sequence with even period and its shift. The autocorrelation of the new quaternary sequence is the same as that of the binary sequence employed. Quaternary sequences with the maximum autocorrelation 2 can be obtained by the construction for period N≡ 2 ( mod 4).
ER -