A Generalized Construction of Mutually Orthogonal Complementary Sequence Sets With Non-Power-of-Two Lengths

Shen, Bingsheng; Yang, Yang; Feng, Yanghe; Zhou, Zhengchun

doi:10.1109/tcomm.2021.3070349

Cited by 15 publications

(14 citation statements)

References 21 publications

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“…However, due to the arbitrariness of q, the construction of this paper breaks through this limitation. In addition, we generalize the result of literature [17] so that it can construct…”

Section: Introductionmentioning

confidence: 87%

“…The proof of Theorem 4 is the same as the proof of Theorem 6 of [17]. Due to the limitation of space, we will not repeat it here.…”

Section: Construction Of Cccs and Mocsss Based On Concatenationmentioning

confidence: 99%

“…Remark 5. When the ratio M/N is 1/2, compared with the constructions in [17] and [16], Theorem 5 can construct MOCSS with more lengths. For example, Theorem 5 can construct binary (2, 4, 11)-MOCSS, but [17] and [16] cannot.…”

Section: Construction Of Cccs and Mocsss Based On Concatenationmentioning

confidence: 99%

“…Owing to their ideal correlation properties, MOCSSs or CCCs have found applications in synthetic aperture imaging systems [8], OFDM-CDMA systems [9], especially the application multi-carrier code division multiple access (MC-CDMA) systems [10]- [12], because zero multi-path interference (MPI) and zero multi-user interference (MUI) performance can be achieved. For more research on CCCs and MOCSSs, please refer to [12]- [17].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

New Construction of Z-Complementary Code Sets and Mutually Orthogonal Complementary Sequence Sets

Shen,

Yang,

Zhou

2021

Preprint

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Due to the zero nontrivial aperiodic correlation of complete complementary code (CCCs), it is used in asynchronous multi carrier code division multiple access (MC-CDMA) communication to provide zero interference performance. However, there is no CCC for some lengths. In this case, if the system pays more attention to the correlation, it can use mutually orthogonal complementary sequence sets (MOCSSs), and if the system pays more attention to the set size, it can use Z-complementary code sets (ZCCSs). In this paper, we propose a direct construction of q-ary (q v+1 , q, q m , q m−v )-ZCCS. In addition, based on the known CCCs, we propose a new construction of MOCSSs and CCCs respectively.

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“…However, due to the arbitrariness of q, the construction of this paper breaks through this limitation. In addition, we generalize the result of literature [17] so that it can construct…”

Section: Introductionmentioning

confidence: 87%

“…The proof of Theorem 4 is the same as the proof of Theorem 6 of [17]. Due to the limitation of space, we will not repeat it here.…”

Section: Construction Of Cccs and Mocsss Based On Concatenationmentioning

confidence: 99%

Section: Construction Of Cccs and Mocsss Based On Concatenationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

New Construction of Z-Complementary Code Sets and Mutually Orthogonal Complementary Sequence Sets

Shen,

Yang,

Zhou

2021

Preprint

Self Cite

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“…Considering C = {C 0 , C 1 , C 2 , C 3 } as a (4, 4, N )-CCC, the search results can be found in Table III, where each element represents a power of (−1). The search results are important in itself, because in recent results [23]- [25], we observe that for a (K, M, N ) mutually orthogonal sequence set, through systematic construction, the maximum achievable K/M ratio is 1/2, when N is not in the form of 2 m . However, for our case, although N is not in the form of power-of-two, since the sequence sets are CCC (i.e., K = M ), the K/M ratio is 1.…”

Section: Let Us Definementioning

confidence: 99%

Asymptotically Optimal Golay-ZCZ Sequence Sets with Flexible Length

Zhi¹,

Zhou²,

Adhikary³

et al. 2021

Preprint

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Zero correlation zone (ZCZ) sequences and Golay complementary sequences are two kinds of sequences with different preferable correlation properties. Golay-ZCZ sequences are special kinds of complementary sequences which also possess a large ZCZ and are good candidates for pilots in OFDM systems. Known Golay-ZCZ sequences reported in the literature have a limitation in the length which is the form of a power of 2. In this paper, we propose two constructions of Golay-ZCZ sequence sets with new parameters which generalize the constructions of Gong et al. (IEEE Transaction on Communications 61(9), 2013) and Chen et al (IEEE Transaction on Communications 61(9), 2018). Notably, one of the constructions results in optimal binary Golay-ZCZ sequences, while the other results in asymptotically optimal polyphase Golay-ZCZ sequences as the number of sequences increases.

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New constructions of Z-complementary code sets and mutually orthogonal complementary sequence sets

Shen

Meng

Yang

et al. 2022

Des. Codes Cryptogr.

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A Generalized Construction of Mutually Orthogonal Complementary Sequence Sets With Non-Power-of-Two Lengths

Cited by 15 publications

References 21 publications

New Construction of Z-Complementary Code Sets and Mutually Orthogonal Complementary Sequence Sets

New Construction of Z-Complementary Code Sets and Mutually Orthogonal Complementary Sequence Sets

Asymptotically Optimal Golay-ZCZ Sequence Sets with Flexible Length

New constructions of Z-complementary code sets and mutually orthogonal complementary sequence sets

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