A Generalized Construction of Zero-Correlation Zone Sequence Set with Sequence Subsets

Hayashi, Takafumi; Maeda, Takao; Okawa, Shinpei

doi:10.1587/transfun.e94.a.1597

Cited by 21 publications

(8 citation statements)

References 23 publications

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“…The width of the between a sequence of the j-th subset and one of the k-th subset is almost proportional to the di erence | j k |, which is defined as the distance between the j-th subset and the k-th subset. The structure of the proposed intra-subset is quite di erent from previously reported structures [13], [16], [18]- [20], [26], [35], [47], [57], [61].…”

Section: Introductioncontrasting

confidence: 60%

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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: Introductioncontrasting

confidence: 60%

“…However, we need a more complex structure of subsets for some applications. The proposed sequence construction scheme is an enhancement of previously reported schemes [13], [16], [18]- [20]. In this paper, we introduce a novel type of structure of the subsets.…”

Section: Introductionmentioning

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 order to overcome the above shortcoming, a new class of zero correlation zone (ZCZ) sequence set referred as asymmetric ZCZ (A-ZCZ) sequence set has recently been proposed [10,4,5,12,15,14,11,13]. An A-ZCZ sequence set consists of multiple C-ZCZ sequence subsets, and the cross-correlation function (CCF) of two sequences which belong to different subsets has a wider ZCZ than that of arbitrary two sequences in the same subset.…”

Section: Introductionmentioning

confidence: 99%

“…In the literature, several construction methods for the A-ZCZ sequences have been proposed [4,5,12,11,14,15]. Hayashi et al improved two types of ternary A-ZCZ sequence sets from given Hadamard matrices and mutually orthogonal complementary sets [4,5]. Torii et al presented several types of polyphase A-ZCZ sequence sets from a given perfect sequence and a discrete Fourier transform (DFT) matrix [12,11].…”

Section: Introductionmentioning

confidence: 99%

An asymmetric ZCZ sequence set with inter-subset uncorrelated property and flexible ZCZ length

Wang¹,

Zhang²,

Wen³

et al. 2018

Advances in Mathematics of Communications

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In this paper, we propose a novel method for constructing new uncorrelated asymmetric zero correlation zone (UA-ZCZ) sequence sets by interleaving perfect sequences. As a type of ZCZ sequence set, an A-ZCZ sequence set consists of multiple sequence subsets. Different subsets are correlated in conventional A-ZCZ sequence set but uncorrelated in our scheme. In other words, the cross-correlation function (CCF) between two arbitrary sequences which belong to different subsets has quite a large zero cross-correlation zone (ZCCZ). Analytical results demonstrate that the UA-ZCZ sequence set proposed herein is optimal with respect to the upper bound of ZCZ sequence set. Specifically, our scheme enables the flexible selection of ZCZ length, which makes it extremely valuable for designing spreading sequences for quasisynchronous code-division multiple-access (QS-CDMA) systems.

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“…Tang et al proposed several types of binary A-ZCZ sequence sets [18], [20], and Hayashi et al proposed several types of binary and ternary A-ZCZ sequence sets [17], [22], [23], [25], [28], In addition, Hayashi et al proposed a method for constructing A-ZCZ sequence sets that can be regarded as optimal ZCZ sequence sets [26]. Zhang et al proposed complementary A-ZCZ sequence sets [21].…”

Section: Introductionmentioning

confidence: 99%

Optimal Polyphase Asymmetric ZCZ Sequence Sets Including Uncorrelated Sequences

Torii

Matsumoto

Nakamura

2012

Journal of Signal Processing

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The present paper proposes a new method for constructing polyphase asymmetric zerocorrelation zone (A-ZCZ) sequence sets using discrete Fourier transform (DFT) matrices and orthogonal codes. The proposed method can generate A-ZCZ sequence sets that cannot be obtained using known methods. The newly obtained A-ZCZ sequence sets include optimal ZCZ sequence sets. In addition, two arbitrary sequences that belong to different sequence subsets become uncorrelated sequences. The proposed method is expected to be usefu1 for reducing or avoiding inter-cell interference from adjacent cells in approximately synchronized code-division multiple-access (AS-CDMA) systems.

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A Generalized Construction of Zero-Correlation Zone Sequence Set with Sequence Subsets

Cited by 21 publications

References 23 publications

A Novel Class of Structured Zero-Correlation Zone Sequence Sets

A Novel Class of Structured Zero-Correlation Zone Sequence Sets

An asymmetric ZCZ sequence set with inter-subset uncorrelated property and flexible ZCZ length

Optimal Polyphase Asymmetric ZCZ Sequence Sets Including Uncorrelated Sequences

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