The present paper introduces a novel construction of ternary sequences having a zero-correlation zone. 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 proposed sequence set consists of more than one subset having the same member size. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a wider zero-correlation zone than that of the correlation function of sequences of the same subset (intra-subset correlation function). The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set. The proposed sequence set has a zero-correlation zone for periodic, aperiodic, and odd correlation functions.
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Takafumi HAYASHI, Takao MAEDA, Shinya MATSUFUJI, Satoshi OKAWA, "A Ternary Zero-Correlation Zone Sequence Set Having Wide Inter-Subset Zero-Correlation Zone" in IEICE TRANSACTIONS on Fundamentals,
vol. E94-A, no. 11, pp. 2230-2235, November 2011, doi: 10.1587/transfun.E94.A.2230.
Abstract: The present paper introduces a novel construction of ternary sequences having a zero-correlation zone. 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 proposed sequence set consists of more than one subset having the same member size. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a wider zero-correlation zone than that of the correlation function of sequences of the same subset (intra-subset correlation function). The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set. The proposed sequence set has a zero-correlation zone for periodic, aperiodic, and odd correlation functions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.2230/_p
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@ARTICLE{e94-a_11_2230,
author={Takafumi HAYASHI, Takao MAEDA, Shinya MATSUFUJI, Satoshi OKAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Ternary Zero-Correlation Zone Sequence Set Having Wide Inter-Subset Zero-Correlation Zone},
year={2011},
volume={E94-A},
number={11},
pages={2230-2235},
abstract={The present paper introduces a novel construction of ternary sequences having a zero-correlation zone. 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 proposed sequence set consists of more than one subset having the same member size. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a wider zero-correlation zone than that of the correlation function of sequences of the same subset (intra-subset correlation function). The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set. The proposed sequence set has a zero-correlation zone for periodic, aperiodic, and odd correlation functions.},
keywords={},
doi={10.1587/transfun.E94.A.2230},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - A Ternary Zero-Correlation Zone Sequence Set Having Wide Inter-Subset Zero-Correlation Zone
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2230
EP - 2235
AU - Takafumi HAYASHI
AU - Takao MAEDA
AU - Shinya MATSUFUJI
AU - Satoshi OKAWA
PY - 2011
DO - 10.1587/transfun.E94.A.2230
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2011
AB - The present paper introduces a novel construction of ternary sequences having a zero-correlation zone. 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 proposed sequence set consists of more than one subset having the same member size. The correlation function of the sequences of a pair of different subsets, referred to as the inter-subset correlation function, has a wider zero-correlation zone than that of the correlation function of sequences of the same subset (intra-subset correlation function). The wide inter-subset zero-correlation enables performance improvement during application of the proposed sequence set. The proposed sequence set has a zero-correlation zone for periodic, aperiodic, and odd correlation functions.
ER -