A Generalized Construction Scheme of a Zero-Correlation Zone Sequence Set with a Wide Inter-Subset Zero-Correlation Zone

Takafumi HAYASHI; Takao MAEDA; Shinya MATSUFUJI

doi:10.1587/transfun.E95.A.1931

A Generalized Construction Scheme of a Zero-Correlation Zone Sequence Set with a Wide Inter-Subset Zero-Correlation Zone

Takafumi HAYASHI, Takao MAEDA, Shinya MATSUFUJI

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The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone (ZCZ), which is referred to as a ZCZ sequence set. The proposed sequence construction generates a ZCZ sequence set from a ZCZ sequence set. The proposed method can generate an almost optimal ZCZ sequence set, the member size of which approaches the theoretical bound, when an almost optimal ZCZ sequence is used for the sequence construction. The proposed sequence set consists of N_O subsets, where a ZCZ sequence set Z(L_O, N_O, Z_O is used in sequence construction. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a ZCZ with a width that is about times that of the correlation function of sequences of the same subset (intra-subset correlation function) for integers Λ ≥ 1, T, and m ≥ 0. Wide inter-subset zero-correlation enables improved performance during application of the proposed sequence set.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.11 pp.1931-1936

Publication Date: 2012/11/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.1931

Type of Manuscript: Special Section LETTER (Special Section on Signal Design and Its Applications in Communications)

Category: Sequences

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Takafumi HAYASHI, Takao MAEDA, Shinya MATSUFUJI, "A Generalized Construction Scheme of a Zero-Correlation Zone Sequence Set with a Wide Inter-Subset Zero-Correlation Zone" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 11, pp. 1931-1936, November 2012, doi: 10.1587/transfun.E95.A.1931.
Abstract: The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone (ZCZ), which is referred to as a ZCZ sequence set. The proposed sequence construction generates a ZCZ sequence set from a ZCZ sequence set. The proposed method can generate an almost optimal ZCZ sequence set, the member size of which approaches the theoretical bound, when an almost optimal ZCZ sequence is used for the sequence construction. The proposed sequence set consists of N_O subsets, where a ZCZ sequence set Z(L_O, N_O, Z_O is used in sequence construction. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a ZCZ with a width that is about times that of the correlation function of sequences of the same subset (intra-subset correlation function) for integers Λ ≥ 1, T, and m ≥ 0. Wide inter-subset zero-correlation enables improved performance during application of the proposed sequence set.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.1931/_p

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@ARTICLE{e95-a_11_1931,
author={Takafumi HAYASHI, Takao MAEDA, Shinya MATSUFUJI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Generalized Construction Scheme of a Zero-Correlation Zone Sequence Set with a Wide Inter-Subset Zero-Correlation Zone},
year={2012},
volume={E95-A},
number={11},
pages={1931-1936},
abstract={The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone (ZCZ), which is referred to as a ZCZ sequence set. The proposed sequence construction generates a ZCZ sequence set from a ZCZ sequence set. The proposed method can generate an almost optimal ZCZ sequence set, the member size of which approaches the theoretical bound, when an almost optimal ZCZ sequence is used for the sequence construction. The proposed sequence set consists of N_O subsets, where a ZCZ sequence set Z(L_O, N_O, Z_O is used in sequence construction. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a ZCZ with a width that is about times that of the correlation function of sequences of the same subset (intra-subset correlation function) for integers Λ ≥ 1, T, and m ≥ 0. Wide inter-subset zero-correlation enables improved performance during application of the proposed sequence set.},
keywords={},
doi={10.1587/transfun.E95.A.1931},
ISSN={1745-1337},
month={November},}

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TY - JOUR
TI - A Generalized Construction Scheme of a Zero-Correlation Zone Sequence Set with a Wide Inter-Subset Zero-Correlation Zone
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1931
EP - 1936
AU - Takafumi HAYASHI
AU - Takao MAEDA
AU - Shinya MATSUFUJI
PY - 2012
DO - 10.1587/transfun.E95.A.1931
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2012
AB - The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone (ZCZ), which is referred to as a ZCZ sequence set. The proposed sequence construction generates a ZCZ sequence set from a ZCZ sequence set. The proposed method can generate an almost optimal ZCZ sequence set, the member size of which approaches the theoretical bound, when an almost optimal ZCZ sequence is used for the sequence construction. The proposed sequence set consists of N_O subsets, where a ZCZ sequence set Z(L_O, N_O, Z_O is used in sequence construction. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a ZCZ with a width that is about times that of the correlation function of sequences of the same subset (intra-subset correlation function) for integers Λ ≥ 1, T, and m ≥ 0. Wide inter-subset zero-correlation enables improved performance during application of the proposed sequence set.
ER -