Binary Zero-Correlation Zone Sequence Set Construction Using a Cyclic Hadamard Sequence

Takafumi HAYASHI

doi:10.1093/ietfec/e89-a.10.2649

Binary Zero-Correlation Zone Sequence Set Construction Using a Cyclic Hadamard Sequence

Takafumi HAYASHI

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The present paper introduces a new construction of a class of binary periodic sequence set having a zero-correlation zone (hereinafter binary ZCA sequence set). The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The present paper shows that such a construction generates a binary ZCA sequence set by using a cyclic difference set and a collection of mutually orthogonal complementary sets.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.10 pp.2649-2655

Publication Date: 2006/10/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.10.2649

Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)

Category: Sequences

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Takafumi HAYASHI, "Binary Zero-Correlation Zone Sequence Set Construction Using a Cyclic Hadamard Sequence" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 10, pp. 2649-2655, October 2006, doi: 10.1093/ietfec/e89-a.10.2649.
Abstract: The present paper introduces a new construction of a class of binary periodic sequence set having a zero-correlation zone (hereinafter binary ZCA sequence set). The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The present paper shows that such a construction generates a binary ZCA sequence set by using a cyclic difference set and a collection of mutually orthogonal complementary sets.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.10.2649/_p

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@ARTICLE{e89-a_10_2649,
author={Takafumi HAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Binary Zero-Correlation Zone Sequence Set Construction Using a Cyclic Hadamard Sequence},
year={2006},
volume={E89-A},
number={10},
pages={2649-2655},
abstract={The present paper introduces a new construction of a class of binary periodic sequence set having a zero-correlation zone (hereinafter binary ZCA sequence set). The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The present paper shows that such a construction generates a binary ZCA sequence set by using a cyclic difference set and a collection of mutually orthogonal complementary sets.},
keywords={},
doi={10.1093/ietfec/e89-a.10.2649},
ISSN={1745-1337},
month={October},}

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TY - JOUR
TI - Binary Zero-Correlation Zone Sequence Set Construction Using a Cyclic Hadamard Sequence
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2649
EP - 2655
AU - Takafumi HAYASHI
PY - 2006
DO - 10.1093/ietfec/e89-a.10.2649
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2006
AB - The present paper introduces a new construction of a class of binary periodic sequence set having a zero-correlation zone (hereinafter binary ZCA sequence set). The cross-correlation function and the side-lobe of the auto-correlation function of the proposed sequence set is zero for the phase shifts within the zero-correlation zone. The present paper shows that such a construction generates a binary ZCA sequence set by using a cyclic difference set and a collection of mutually orthogonal complementary sets.
ER -