This paper investigates construction methods of perfect 16-QAM sequences and arrays, since such sequences and arrays play quite an important role in synchronization of communication systems making use of 16-QAM signals. The method used for obtaining the results is to establish a relationship between the known perfect quaternary sequences/arrays and the required ones so that the former is transformed into the latter. Consequently, the sufficient conditions for implementing the required transformations are derived, and several examples are given. Our methods can provide perfect 16-QAM sequences with lengths 2, 4, 8, and 16, which are given in Table A·1 and infinite families of perfect 16-QAM arrays, whose existing sizes up to dimension 5 and volume 2304 are listed in Tables A·2 and A·3.
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Fanxin ZENG, Xiaoping ZENG, Zhenyu ZHANG, Guixin XUAN, "Perfect 16-QAM Sequences and Arrays" in IEICE TRANSACTIONS on Fundamentals,
vol. E95-A, no. 10, pp. 1740-1748, October 2012, doi: 10.1587/transfun.E95.A.1740.
Abstract: This paper investigates construction methods of perfect 16-QAM sequences and arrays, since such sequences and arrays play quite an important role in synchronization of communication systems making use of 16-QAM signals. The method used for obtaining the results is to establish a relationship between the known perfect quaternary sequences/arrays and the required ones so that the former is transformed into the latter. Consequently, the sufficient conditions for implementing the required transformations are derived, and several examples are given. Our methods can provide perfect 16-QAM sequences with lengths 2, 4, 8, and 16, which are given in Table A·1 and infinite families of perfect 16-QAM arrays, whose existing sizes up to dimension 5 and volume 2304 are listed in Tables A·2 and A·3.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.1740/_p
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@ARTICLE{e95-a_10_1740,
author={Fanxin ZENG, Xiaoping ZENG, Zhenyu ZHANG, Guixin XUAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Perfect 16-QAM Sequences and Arrays},
year={2012},
volume={E95-A},
number={10},
pages={1740-1748},
abstract={This paper investigates construction methods of perfect 16-QAM sequences and arrays, since such sequences and arrays play quite an important role in synchronization of communication systems making use of 16-QAM signals. The method used for obtaining the results is to establish a relationship between the known perfect quaternary sequences/arrays and the required ones so that the former is transformed into the latter. Consequently, the sufficient conditions for implementing the required transformations are derived, and several examples are given. Our methods can provide perfect 16-QAM sequences with lengths 2, 4, 8, and 16, which are given in Table A·1 and infinite families of perfect 16-QAM arrays, whose existing sizes up to dimension 5 and volume 2304 are listed in Tables A·2 and A·3.},
keywords={},
doi={10.1587/transfun.E95.A.1740},
ISSN={1745-1337},
month={October},}
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TY - JOUR
TI - Perfect 16-QAM Sequences and Arrays
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1740
EP - 1748
AU - Fanxin ZENG
AU - Xiaoping ZENG
AU - Zhenyu ZHANG
AU - Guixin XUAN
PY - 2012
DO - 10.1587/transfun.E95.A.1740
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2012
AB - This paper investigates construction methods of perfect 16-QAM sequences and arrays, since such sequences and arrays play quite an important role in synchronization of communication systems making use of 16-QAM signals. The method used for obtaining the results is to establish a relationship between the known perfect quaternary sequences/arrays and the required ones so that the former is transformed into the latter. Consequently, the sufficient conditions for implementing the required transformations are derived, and several examples are given. Our methods can provide perfect 16-QAM sequences with lengths 2, 4, 8, and 16, which are given in Table A·1 and infinite families of perfect 16-QAM arrays, whose existing sizes up to dimension 5 and volume 2304 are listed in Tables A·2 and A·3.
ER -