Enhancement of ZCZ Sequence Set Construction Procedure

Torii, Hideyuki; Nakamura, Makoto

doi:10.1093/ietfec/e90-a.2.535

Cited by 29 publications

(6 citation statements)

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“…We denote the sequence set for aperiodic correlation A sequence set satisfying the theoretical bound on the sequence member size and the sequence period is called an optimal sequence set [5], [14], [22]- [24], [27]- [29], [31], [36], [41], [42], [49]- [51].…”

Section: Sequence Setmentioning

confidence: 99%

A Novel Class of Structured Zero-Correlation Zone Sequence Sets

Hayashi

Maeda

Pham

et al. 2018

IEICE Trans. Fundamentals

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Takafumi HAYASHI †a) , Senior Member, Takao MAEDA † †b) , Anh T. PHAM † †c) , and Shinya MATSUFUJI † † †d) , Members SUMMARY The present paper introduces a novel type of structured ternary sequences having a zero-correlation zone ( ) for both periodic and aperiodic correlation functions. The cross-correlation function and the side lobe of the auto-correlation function of the proposed sequence set are zero for phase shifts within the . The proposed sequence set can be generated from an arbitrary pair of an Hadamard matrix of order`h and a binary/ternary perfect sequence of length`p . The sequence set of order 0 is identical to the r-th row of the Hadamard matrix. For m 0, the sequence set of order (m + 1) is constructed from the sequence set of order m by sequence concatenation and interleaving. The sequence set has`p subsets of size 2`h . The periodic correlation function and the aperiodic correlation function of the proposed sequence set have a from (2 m+1 1) to 2 m+1 1. The periodic correlation function and the aperiodic correlation function of the sequences of the i-th subset and k-th subset have a from 2 m+2 (`h + 1)((j k) mod`p ) to 2 m+2 (`h + 1)(( j k) mod`p ). The proposed sequence is suitable for a heterogeneous wireless network, which is one of the candidates for the fifth-generation mobile networks.

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Section: Sequence Setmentioning

confidence: 99%

A Novel Class of Structured Zero-Correlation Zone Sequence Sets

Hayashi

Maeda

Pham

et al. 2018

IEICE Trans. Fundamentals

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“…In a ZCZ sequence, the theoretical upper bound of sequence length ℓ, member size N and ZCZ width z, in which the the absolute value of the phase shift is less than or equal to z, is N (z + 1) ≤ ℓ [20]. A ZCZ sequence set that satisfies the theoretical bound of the sequence member size and the sequence period is called an optimal ZCZ sequence set [2], [5]- [11], [13], [17], [18], [21]- [23].…”

Section: Introductionmentioning

confidence: 99%

A Novel Class of Quadriphase Zero-Correlation Zone Sequence Sets

Hayashi

Watanabe

Miyazaki

et al. 2017

IEICE Trans. Fundamentals

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Takafumi HAYASHI †a) , Senior Member, Yodai WATANABE † †b) , Member, Toshiaki MIYAZAKI † †c) , Senior Member, Anh PHAM † †d) , Takao MAEDA † †e) , and Shinya MATSUFUJI † † †f) , Members SUMMARY The present paper introduces the construction of quadriphase sequences having a zero-correlation zone. For a zero-correlation zone sequence set of N sequences, each of length ℓ, the cross-correlation function and the side lobe of the autocorrelation function of the proposed sequence set are zero for the phase shifts τ within the zero-correlation zone z, such that |τ | ≤ z (τ 0 for the autocorrelation function). The ratio N (z+1) ℓ is theoretically limited to one. When ℓ = N (z + 1), the sequence set is called an optimal zero-correlation sequence set. The proposed zerocorrelation zone sequence set can be generated from an arbitrary Hadamard matrix of order n. The length of the proposed sequence set can be extended by sequence interleaving, where m times interleaving can generate 4n sequences, each of length 2 m+3 n. The proposed sequence set is optimal for m = 0, 1 and almost optimal for m > 1.

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“…Zero correlation zone (ZCZ) sequences can be used in spread spectrum systems and CDMA systems to reduce the multiple access interference and co-channel interference [1]. There are several intensive studies on the constructing of ZCZ sequences set [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%