Extension of Methods for Constructing Polyphase Asymmetric ZCZ Sequence Sets

Torii, Hideyuki; Matsumoto, Takahiro; Nakamura, Makoto

doi:10.1587/transfun.e96.a.2244

Cited by 18 publications

(18 citation statements)

References 13 publications

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“…The theoretical upper bound has been obtained by Tang et al in [8], in which any Z(P, M, z) sequence set satisfies z ≤ P M . If the parameters P , M and z of any Z(P, M, z) sequence set satisfy z = P M or z + 1 = P M , then Z(P, M, z) is called an optimal or quasi-optimal ZCZ sequence set [8], [12].…”

Section: Notation and Preliminarymentioning

confidence: 99%

“…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].…”

Section: Introductionmentioning

confidence: 99%

“…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]. In our previous works, a type of polyphase A-ZCZ sequence set [14] as well as two class of polyphase A-ZCZ sequence pair set [15] was introduced via interleaving a given perfect sequence.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Notation and Preliminarymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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show abstract

“…A.2171 correlation function of sequences of the same subset (intrasubset correlation function). There exist several sequence sets having similar subset and inter-subset correlation functions, which are wider than intra-subset correlation functions [13], [16], [18]- [21], [26], [35], [43], [44], [47], [48], [52], [55]- [58], [61]. We have proposed a class of ternary sequence sets for both periodic and aperiodic correlation functions whose sequence sets can work with both even and odd correlations for spectrum spreading communications.…”

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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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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