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

Takafumi HAYASHI; Takao MAEDA; Satoshi OKAWA

doi:10.1587/transfun.E94.A.1597

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

Takafumi HAYASHI, Takao MAEDA, Satoshi OKAWA

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The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of orders n₀ and n₁. The constructed sequence set consists of n₀ n₁ ternary sequences, each of length n₀^(m+2)(n₁+Δ), for a non-negative integer m and Δ ≥ 2. The zero-correlation zone of the proposed sequences is |τ| ≤ n₀^m+1-1, where τ is the phase shift. The proposed sequence set consists of n₀ subsets, each with a member size n₁. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a zero-correlation zone with a width that is approximately Δ times that of the correlation function of sequences of the same subset (intra-subset correlation function). The inter-subset zero-correlation zone of the proposed sequences is |τ| ≤ Δn₀^m+1, where τ is the phase shift. The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.7 pp.1597-1602

Publication Date: 2011/07/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E94.A.1597

Type of Manuscript: LETTER

Category: Spread Spectrum Technologies and Applications

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Takafumi HAYASHI, Takao MAEDA, Satoshi OKAWA, "A Generalized Construction of Zero-Correlation Zone Sequence Set with Sequence Subsets" in IEICE TRANSACTIONS on Fundamentals, vol. E94-A, no. 7, pp. 1597-1602, July 2011, doi: 10.1587/transfun.E94.A.1597.
Abstract: The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of orders n₀ and n₁. The constructed sequence set consists of n₀ n₁ ternary sequences, each of length n₀^(m+2)(n₁+Δ), for a non-negative integer m and Δ ≥ 2. The zero-correlation zone of the proposed sequences is |τ| ≤ n₀^m+1-1, where τ is the phase shift. The proposed sequence set consists of n₀ subsets, each with a member size n₁. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a zero-correlation zone with a width that is approximately Δ times that of the correlation function of sequences of the same subset (intra-subset correlation function). The inter-subset zero-correlation zone of the proposed sequences is |τ| ≤ Δn₀^m+1, where τ is the phase shift. The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1597/_p

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@ARTICLE{e94-a_7_1597,
author={Takafumi HAYASHI, Takao MAEDA, Satoshi OKAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Generalized Construction of Zero-Correlation Zone Sequence Set with Sequence Subsets},
year={2011},
volume={E94-A},
number={7},
pages={1597-1602},
abstract={The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of orders n₀ and n₁. The constructed sequence set consists of n₀ n₁ ternary sequences, each of length n₀^(m+2)(n₁+Δ), for a non-negative integer m and Δ ≥ 2. The zero-correlation zone of the proposed sequences is |τ| ≤ n₀^m+1-1, where τ is the phase shift. The proposed sequence set consists of n₀ subsets, each with a member size n₁. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a zero-correlation zone with a width that is approximately Δ times that of the correlation function of sequences of the same subset (intra-subset correlation function). The inter-subset zero-correlation zone of the proposed sequences is |τ| ≤ Δn₀^m+1, where τ is the phase shift. The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set.},
keywords={},
doi={10.1587/transfun.E94.A.1597},
ISSN={1745-1337},
month={July},}

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TY - JOUR
TI - A Generalized Construction of Zero-Correlation Zone Sequence Set with Sequence Subsets
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1597
EP - 1602
AU - Takafumi HAYASHI
AU - Takao MAEDA
AU - Satoshi OKAWA
PY - 2011
DO - 10.1587/transfun.E94.A.1597
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2011
AB - The present paper introduces a new approach to the construction of a sequence set with a zero-correlation zone for both periodic and aperiodic correlation functions. The proposed sequences can be constructed from a pair of Hadamard matrices of orders n₀ and n₁. The constructed sequence set consists of n₀ n₁ ternary sequences, each of length n₀^(m+2)(n₁+Δ), for a non-negative integer m and Δ ≥ 2. The zero-correlation zone of the proposed sequences is |τ| ≤ n₀^m+1-1, where τ is the phase shift. The proposed sequence set consists of n₀ subsets, each with a member size n₁. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a zero-correlation zone with a width that is approximately Δ times that of the correlation function of sequences of the same subset (intra-subset correlation function). The inter-subset zero-correlation zone of the proposed sequences is |τ| ≤ Δn₀^m+1, where τ is the phase shift. The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set.
ER -