Multiple Complementary Sequence Sets With Low Inter-Set Cross-Correlation Property

Liu, Tao; Xu, Chengqian

doi:10.1109/lsp.2019.2902752

Cited by 16 publications

(15 citation statements)

References 23 publications

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“…In Table VIII we have listed down some cases, as example. 5) Our proposed construction can generate asymptotically near-optimal QCSS with more flexible parameters which are not covered by the results proposed in [25]. For example, the asymptotically optimal QCSS, given in Table VII, can only be constructed by our construction till date.…”

Section: )mentioning

confidence: 99%

“…Working on this problem, recently in 2019 Li et al [24] proposed asymptotically optimal aperiodic QCSSs based on low-correlation CSSs. In another work of Li et al [25], the authors proposed near-optimal aperiodic QCSS based on multiple sets of CCCs.…”

Section: Pcssmentioning

confidence: 99%

“…The works on the construction of aperiodic QCSS reported in [24] and [25] are all based on prime or power of prime integers. The parameters of the asymptotically optimal and near-optimal aperiodic QCSS are given in details in Table I and Table II, respectively.…”

Section: Pcssmentioning

confidence: 99%

“…The proposed QCSSs are asymptotically near-optimal when p 0 = 3, with the value of optimality factor ρ approaching towards 2, as shown in Table VII. Our construction is more generalised as compared to [24] and [25], since N > 2 can also be any odd number other than a prime or power of prime. When N is prime, the proposed construction has better optimality factor as compared to the results in [24], with much larger set size.…”

Section: Pcssmentioning

confidence: 99%

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A Generalized Construction of Multiple Complete Complementary Codes and Asymptotically Optimal Aperiodic Quasi-Complementary Sequence Sets

Zhou

Liu

Adhikary

et al. 2020

IEEE Trans. Commun.

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In recent years, complementary sequence sets have found many important applications in multi-carrier code-division multiple-access (MC-CDMA) systems for their good correlation properties. In this paper, we propose a construction, which can generate multiple sets of complete complementary codes (CCCs) over ZN , where N (N ≥ 3) is a positive integer of the form N = p e 0 0 p e 1 1 . . . p e n−1 n−1 , p0 < p1 < · · · < pn−1 are prime factors of N and e0, e1, · · · , en−1 are non-negative integers. Interestingly, the maximum inter-set aperiodic cross-correlation magnitude of the proposed CCCs is upper bounded by N . When N is odd, the combination of the proposed CCCs results to a new set of sequences to obtain asymptotically optimal and near-optimal aperiodic quasi-complementary sequence sets (QCSSs) with more flexible parameters.Index Terms-Complete complementary codes (CCCs), asymptotically optimal quasi-complementary sequence set (QCSSs), maximum aperiodic cross-correlation magnitude, multi-carrier code-division multiple-access (MC-CDMA).

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Section: )mentioning

confidence: 99%

Section: Pcssmentioning

confidence: 99%

Section: Pcssmentioning

confidence: 99%

Section: Pcssmentioning

confidence: 99%

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A Generalized Construction of Multiple Complete Complementary Codes and Asymptotically Optimal Aperiodic Quasi-Complementary Sequence Sets

Zhou

Liu

Adhikary

et al. 2020

IEEE Trans. Commun.

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“…Set Size Flock Size Sequence Length δ max Alphabet Parameter constraint(s) [33] t(t − 1) t t t Z t t is an odd prime.…”

Section: Referencesmentioning

confidence: 99%

Asymptotically Optimal and Near-optimal Aperiodic Quasi-Complementary Sequence Sets Based on Florentine Rectangles

Adhikary¹,

Feng²,

Zhou³

et al. 2020

Preprint

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Quasi-complementary sequence sets (QCSSs) can be seen as a generalized version of complete complementary codes (CCCs), which enables multicarrier communication systems to support more users. The contribution of this work is two-fold. First, we propose a systematic construction of Florentine rectangles. Secondly, we propose several sets of CCCs and QCSS, using Florentine rectangles. The CCCs and QCSS are constructed over Z N , where N ≥ 2 is any integer. The cross-correlation magnitude of any two of the constructed CCCs is upper bounded by N . By combining the proposed CCCs, we propose asymptotically optimal and near-optimal QCSSs with new parameters. This solves a longstanding problem, of designing asymptotically optimal aperiodic QCSS over Z N , where N is any integer.

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Uplink grant‐free pattern division multiple access transmission scheme by exploiting poly complementary sequence

Sun

et al. 2021

Trans Emerging Tel Tech

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Non‐orthogonal multiple access (NOMA) technology is a key technology of the future cellular mobile communication system. It provides services for users under different channel conditions through signal superposition transmission and spectrum multiplexing. Pattern division multiple access (PDMA) is a new NOMA technology based on the overall optimization of multi‐user communication system. Since the performance of PDMA mainly depends on the gain of the pattern matrix, we propose a design scheme of uplink PDMA pattern matrix for ultra‐reliable low latency communication (uRLLC). For the interference between users is a common problem in NOMA system, first, we use poly complementary sequence (PCS) as the spread codebook to spread the PDMA transmission signal and reduce interference. Meanwhile, an uplink power control scheme is proposed. It allocates wireless resources reasonably by jointly considering the interference between users and resource blocks within users (JUR), the corresponding outage probability formula is also derived. Simulation results show that compared with the previous researches, the pattern matrix design scheme and JUR power control scheme proposed in this article have greatly improved the transmission performance. The addition of PCS spread spectrum technology can significantly reduce the block error rate and outage probability.

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Multiple Complementary Sequence Sets With Low Inter-Set Cross-Correlation Property

Cited by 16 publications

References 23 publications

A Generalized Construction of Multiple Complete Complementary Codes and Asymptotically Optimal Aperiodic Quasi-Complementary Sequence Sets

A Generalized Construction of Multiple Complete Complementary Codes and Asymptotically Optimal Aperiodic Quasi-Complementary Sequence Sets

Asymptotically Optimal and Near-optimal Aperiodic Quasi-Complementary Sequence Sets Based on Florentine Rectangles

Uplink grant‐free pattern division multiple access transmission scheme by exploiting poly complementary sequence

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