Ternary Sequence Set Having Periodic and Aperiodic Zero-Correlation Zone

Takafumi HAYASHI

doi:10.1093/ietfec/e89-a.6.1825

Ternary Sequence Set Having Periodic and Aperiodic Zero-Correlation Zone

Takafumi HAYASHI

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A new class of ternary sequence with a zero-correlation zone is introduced. The proposed sequence sets have a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of size n₀n₀ and a Hadamard matrix of size n₁n₁. The constructed sequence set consists of n₀ n₁ ternary sequences, and the length of each sequence is (n₁+1) for a non-negative integer m. The zero-correlation zone of the proposed sequences is |τ|≤ -1, where τ is the phase shift. The sequence member size of the proposed sequence set is equal to times that of the theoretical upper bound of the member size of a sequence set with a zero-correlation zone.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.6 pp.1825-1831

Publication Date: 2006/06/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.6.1825

Type of Manuscript: PAPER

Category: Coding Theory

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Takafumi HAYASHI, "Ternary Sequence Set Having Periodic and Aperiodic Zero-Correlation Zone" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 6, pp. 1825-1831, June 2006, doi: 10.1093/ietfec/e89-a.6.1825.
Abstract: A new class of ternary sequence with a zero-correlation zone is introduced. The proposed sequence sets have a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of size n₀n₀ and a Hadamard matrix of size n₁n₁. The constructed sequence set consists of n₀ n₁ ternary sequences, and the length of each sequence is (n₁+1) for a non-negative integer m. The zero-correlation zone of the proposed sequences is |τ|≤ -1, where τ is the phase shift. The sequence member size of the proposed sequence set is equal to times that of the theoretical upper bound of the member size of a sequence set with a zero-correlation zone.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.6.1825/_p

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@ARTICLE{e89-a_6_1825,
author={Takafumi HAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Ternary Sequence Set Having Periodic and Aperiodic Zero-Correlation Zone},
year={2006},
volume={E89-A},
number={6},
pages={1825-1831},
abstract={A new class of ternary sequence with a zero-correlation zone is introduced. The proposed sequence sets have a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of size n₀n₀ and a Hadamard matrix of size n₁n₁. The constructed sequence set consists of n₀ n₁ ternary sequences, and the length of each sequence is (n₁+1) for a non-negative integer m. The zero-correlation zone of the proposed sequences is |τ|≤ -1, where τ is the phase shift. The sequence member size of the proposed sequence set is equal to times that of the theoretical upper bound of the member size of a sequence set with a zero-correlation zone.},
keywords={},
doi={10.1093/ietfec/e89-a.6.1825},
ISSN={1745-1337},
month={June},}

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TY - JOUR
TI - Ternary Sequence Set Having Periodic and Aperiodic Zero-Correlation Zone
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1825
EP - 1831
AU - Takafumi HAYASHI
PY - 2006
DO - 10.1093/ietfec/e89-a.6.1825
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2006
AB - A new class of ternary sequence with a zero-correlation zone is introduced. The proposed sequence sets have a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of size n₀n₀ and a Hadamard matrix of size n₁n₁. The constructed sequence set consists of n₀ n₁ ternary sequences, and the length of each sequence is (n₁+1) for a non-negative integer m. The zero-correlation zone of the proposed sequences is |τ|≤ -1, where τ is the phase shift. The sequence member size of the proposed sequence set is equal to times that of the theoretical upper bound of the member size of a sequence set with a zero-correlation zone.
ER -