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New Construction Method for Quaternary Aperiodic, Periodic, and Z-Complementary Sequence Sets
Fanxin Zeng,Xiaoping Zeng,Zhenyu Zhang,Xiangyong Zeng,Guixin Xuan,Lingna Xiao 한국통신학회 2012 Journal of communications and networks Vol.14 No.3
Based on the known binary sequence sets and Gray mapping,a new method for constructing quaternary sequence sets is presented and the resulting sequence sets’ properties are investigated. As three direct applications of the proposed method, when we choose the binary aperiodic, periodic, and Z-complementary sequence sets as the known binary sequence sets, the resultant quaternary sequence sets are the quaternary aperiodic, periodic, and Z-complementary sequence sets, respectively. In comparison with themethod proposed by Jang et al., the new method can cope with either both the aperiodic and periodic cases or both even and odd lengths of sub-sequences, whereas the former is only fit for the periodic case with even length of sub-sequences. As a consequence,by both our and Jang et al.’s methods, an arbitrary binary aperiodic,periodic, or Z-complementary sequence set can be transformed into a quaternary one no matter its length of sub-sequences is odd or even. Finally, a table on the existing quaternary periodic complementary sequence sets is given as well.
New Construction Method for Quaternary Aperiodic, Periodic, and Z-Complementary Sequence Sets
Zeng, Fanxin,Zeng, Xiaoping,Zhang, Zhenyu,Zeng, Xiangyong,Xuan, Guixin,Xiao, Lingna The Korea Institute of Information and Commucation 2012 Journal of communications and networks Vol.14 No.3
Based on the known binary sequence sets and Gray mapping, a new method for constructing quaternary sequence sets is presented and the resulting sequence sets' properties are investigated. As three direct applications of the proposed method, when we choose the binary aperiodic, periodic, and Z-complementary sequence sets as the known binary sequence sets, the resultant quaternary sequence sets are the quaternary aperiodic, periodic, and Z-complementary sequence sets, respectively. In comparison with themethod proposed by Jang et al., the new method can cope with either both the aperiodic and periodic cases or both even and odd lengths of sub-sequences, whereas the former is only fit for the periodic case with even length of sub-sequences. As a consequence, by both our and Jang et al.'s methods, an arbitrary binary aperiodic, periodic, or Z-complementary sequence set can be transformed into a quaternary one no matter its length of sub-sequences is odd or even. Finally, a table on the existing quaternary periodic complementary sequence sets is given as well.
Fanxin Zeng,Xiaoping Zeng,Lingna Xiao,Zhenyu Zhang,Guixin Xuan 한국통신학회 2013 Journal of communications and networks Vol.15 No.6
Based on an interleaving technique and quadriphase periodiccomplementary sequence (CS) mates, this paper presents amethod for constructing a family of 16-quadrature amplitudemodulation(QAM) periodic CS mates. The resulting mates arise fromthe conversion of quadriphase periodic CS mates, and the period ofthe former is twice as long as that of the latter. In addition, basedon the existing binary periodic CS mates, a table on the existenceof the proposed 16-QAM periodic CS mates is given. Furthermore,the proposed method can also transform a mutually orthogonal(MO) quadriphase CS set into an MO 16-QAM CS set. Finally,three examples are given to demonstrate the validity of the proposedmethod.
Zeng, Fanxin,Zeng, Xiaoping,Xiao, Lingna,Zhang, Zhenyu,Xuan, Guixin The Korea Institute of Information and Commucation 2013 Journal of communications and networks Vol.15 No.6
Based on an interleaving technique and quadriphase periodic complementary sequence (CS) mates, this paper presents a method for constructing a family of 16-quadrature amplitude modulation (QAM) periodic CS mates. The resulting mates arise from the conversion of quadriphase periodic CS mates, and the period of the former is twice as long as that of the latter. In addition, based on the existing binary periodic CS mates, a table on the existence of the proposed 16-QAM periodic CS mates is given. Furthermore, the proposed method can also transform a mutually orthogonal (MO) quadriphase CS set into an MO 16-QAM CS set. Finally, three examples are given to demonstrate the validity of the proposed method.