Binary Zero-Correlation Zone Sequence Set Construction Using a Primitive Linear Recursion
Summary :
The present paper introduces a new construction of a class of binary sequence set having a zero-correlation zone (hereafter binary zcz 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 zcz sequence set by using a primitive linear recursion over GF(2), the finite field of integers modulo 2.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.7 pp.2034-2038
- Publication Date
- 2005/07/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietfec/e88-a.7.2034
- Type of Manuscript
- LETTER
- Category
- Coding Theory
Authors
Keyword
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Takafumi HAYASHI, "Binary Zero-Correlation Zone Sequence Set Construction Using a Primitive Linear Recursion" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 7, pp. 2034-2038, July 2005, doi: 10.1093/ietfec/e88-a.7.2034.
Abstract: The present paper introduces a new construction of a class of binary sequence set having a zero-correlation zone (hereafter binary zcz 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 zcz sequence set by using a primitive linear recursion over GF(2), the finite field of integers modulo 2.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.7.2034/_p
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@ARTICLE{e88-a_7_2034,
author={Takafumi HAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Binary Zero-Correlation Zone Sequence Set Construction Using a Primitive Linear Recursion},
year={2005},
volume={E88-A},
number={7},
pages={2034-2038},
abstract={The present paper introduces a new construction of a class of binary sequence set having a zero-correlation zone (hereafter binary zcz 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 zcz sequence set by using a primitive linear recursion over GF(2), the finite field of integers modulo 2.},
keywords={},
doi={10.1093/ietfec/e88-a.7.2034},
ISSN={},
month={July},}
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TY - JOUR
TI - Binary Zero-Correlation Zone Sequence Set Construction Using a Primitive Linear Recursion
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2034
EP - 2038
AU - Takafumi HAYASHI
PY - 2005
DO - 10.1093/ietfec/e88-a.7.2034
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2005
AB - The present paper introduces a new construction of a class of binary sequence set having a zero-correlation zone (hereafter binary zcz 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 zcz sequence set by using a primitive linear recursion over GF(2), the finite field of integers modulo 2.
ER -
English
