Low-Peak-Factor Pseudo-White-Noise Sequence Set with Optimal Zero-Correlation Zone
Summary :
The present paper introduces a novel method for the construction of sequences that have a zero-correlation zone. For the proposed sequence set, both the cross-correlation function and the side lobe of the autocorrelation function are zero for phase shifts within the zero-correlation zone. The proposed scheme can generate a set of sequences, each of length 16n2, from an arbitrary Hadamard matrix of order n and a set of 4n trigonometric function sequences of length 2n. The proposed construction can generate an optimal sequence set that satisfies, for a given zero-correlation zone and sequence period, the theoretical bound on the number of members. The peak factor of the proposed sequence set is equal to √2.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.12 pp.2343-2351
- Publication Date
- 2014/12/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.2343
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Communication Theory and Signals
Authors
Takafumi HAYASHI
University of Aizu
Takao MAEDA
University of Aizu
Shigeru KANEMOTO
University of Aizu
Shinya MATSUFUJI
Yamaguchi University
Keyword
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Takafumi HAYASHI, Takao MAEDA, Shigeru KANEMOTO, Shinya MATSUFUJI, "Low-Peak-Factor Pseudo-White-Noise Sequence Set with Optimal Zero-Correlation Zone" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 12, pp. 2343-2351, December 2014, doi: 10.1587/transfun.E97.A.2343.
Abstract: The present paper introduces a novel method for the construction of sequences that have a zero-correlation zone. For the proposed sequence set, both the cross-correlation function and the side lobe of the autocorrelation function are zero for phase shifts within the zero-correlation zone. The proposed scheme can generate a set of sequences, each of length 16n2, from an arbitrary Hadamard matrix of order n and a set of 4n trigonometric function sequences of length 2n. The proposed construction can generate an optimal sequence set that satisfies, for a given zero-correlation zone and sequence period, the theoretical bound on the number of members. The peak factor of the proposed sequence set is equal to √2.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.2343/_p
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@ARTICLE{e97-a_12_2343,
author={Takafumi HAYASHI, Takao MAEDA, Shigeru KANEMOTO, Shinya MATSUFUJI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Low-Peak-Factor Pseudo-White-Noise Sequence Set with Optimal Zero-Correlation Zone},
year={2014},
volume={E97-A},
number={12},
pages={2343-2351},
abstract={The present paper introduces a novel method for the construction of sequences that have a zero-correlation zone. For the proposed sequence set, both the cross-correlation function and the side lobe of the autocorrelation function are zero for phase shifts within the zero-correlation zone. The proposed scheme can generate a set of sequences, each of length 16n2, from an arbitrary Hadamard matrix of order n and a set of 4n trigonometric function sequences of length 2n. The proposed construction can generate an optimal sequence set that satisfies, for a given zero-correlation zone and sequence period, the theoretical bound on the number of members. The peak factor of the proposed sequence set is equal to √2.},
keywords={},
doi={10.1587/transfun.E97.A.2343},
ISSN={1745-1337},
month={December},}
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TY - JOUR
TI - Low-Peak-Factor Pseudo-White-Noise Sequence Set with Optimal Zero-Correlation Zone
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2343
EP - 2351
AU - Takafumi HAYASHI
AU - Takao MAEDA
AU - Shigeru KANEMOTO
AU - Shinya MATSUFUJI
PY - 2014
DO - 10.1587/transfun.E97.A.2343
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2014
AB - The present paper introduces a novel method for the construction of sequences that have a zero-correlation zone. For the proposed sequence set, both the cross-correlation function and the side lobe of the autocorrelation function are zero for phase shifts within the zero-correlation zone. The proposed scheme can generate a set of sequences, each of length 16n2, from an arbitrary Hadamard matrix of order n and a set of 4n trigonometric function sequences of length 2n. The proposed construction can generate an optimal sequence set that satisfies, for a given zero-correlation zone and sequence period, the theoretical bound on the number of members. The peak factor of the proposed sequence set is equal to √2.
ER -
English
