A Novel Class of Quadriphase Zero-Correlation Zone Sequence Sets
Summary :
The present paper introduces the construction of quadriphase sequences having a zero-correlation zone. For a zero-correlation zone sequence set of N sequences, each of length l, the cross-correlation function and the side lobe of the autocorrelation function of the proposed sequence set are zero for the phase shifts τ within the zero-correlation zone z, such that |τ|≤z (τ ≠ 0 for the autocorrelation function). The ratio $ rac{N(z+1)}{ell}$ is theoretically limited to one. When l=N(z+1), the sequence set is called an optimal zero-correlation sequence set. The proposed zero-correlation zone sequence set can be generated from an arbitrary Hadamard matrix of order n. The length of the proposed sequence set can be extended by sequence interleaving, where m times interleaving can generate 4n sequences, each of length 2m+3n. The proposed sequence set is optimal for m=0,1 and almost optimal for m>1.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.4 pp.953-960
- Publication Date
- 2017/04/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E100.A.953
- Type of Manuscript
- Special Section LETTER (Special Section on Signal Design and Its Applications in Communications)
- Category
- Sequences
Authors
Takafumi HAYASHI
Niigata University
Yodai WATANABE
University of Aizu
Toshiaki MIYAZAKI
University of Aizu
Anh PHAM
University of Aizu
Takao MAEDA
University of Aizu
Shinya MATSUFUJI
Yamaguchi University
Keyword
Latest Issue
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Takafumi HAYASHI, Yodai WATANABE, Toshiaki MIYAZAKI, Anh PHAM, Takao MAEDA, Shinya MATSUFUJI, "A Novel Class of Quadriphase Zero-Correlation Zone Sequence Sets" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 4, pp. 953-960, April 2017, doi: 10.1587/transfun.E100.A.953.
Abstract: The present paper introduces the construction of quadriphase sequences having a zero-correlation zone. For a zero-correlation zone sequence set of N sequences, each of length l, the cross-correlation function and the side lobe of the autocorrelation function of the proposed sequence set are zero for the phase shifts τ within the zero-correlation zone z, such that |τ|≤z (τ ≠ 0 for the autocorrelation function). The ratio $ rac{N(z+1)}{ell}$ is theoretically limited to one. When l=N(z+1), the sequence set is called an optimal zero-correlation sequence set. The proposed zero-correlation zone sequence set can be generated from an arbitrary Hadamard matrix of order n. The length of the proposed sequence set can be extended by sequence interleaving, where m times interleaving can generate 4n sequences, each of length 2m+3n. The proposed sequence set is optimal for m=0,1 and almost optimal for m>1.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.953/_p
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@ARTICLE{e100-a_4_953,
author={Takafumi HAYASHI, Yodai WATANABE, Toshiaki MIYAZAKI, Anh PHAM, Takao MAEDA, Shinya MATSUFUJI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Novel Class of Quadriphase Zero-Correlation Zone Sequence Sets},
year={2017},
volume={E100-A},
number={4},
pages={953-960},
abstract={The present paper introduces the construction of quadriphase sequences having a zero-correlation zone. For a zero-correlation zone sequence set of N sequences, each of length l, the cross-correlation function and the side lobe of the autocorrelation function of the proposed sequence set are zero for the phase shifts τ within the zero-correlation zone z, such that |τ|≤z (τ ≠ 0 for the autocorrelation function). The ratio $ rac{N(z+1)}{ell}$ is theoretically limited to one. When l=N(z+1), the sequence set is called an optimal zero-correlation sequence set. The proposed zero-correlation zone sequence set can be generated from an arbitrary Hadamard matrix of order n. The length of the proposed sequence set can be extended by sequence interleaving, where m times interleaving can generate 4n sequences, each of length 2m+3n. The proposed sequence set is optimal for m=0,1 and almost optimal for m>1.},
keywords={},
doi={10.1587/transfun.E100.A.953},
ISSN={1745-1337},
month={April},}
Copy
TY - JOUR
TI - A Novel Class of Quadriphase Zero-Correlation Zone Sequence Sets
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 953
EP - 960
AU - Takafumi HAYASHI
AU - Yodai WATANABE
AU - Toshiaki MIYAZAKI
AU - Anh PHAM
AU - Takao MAEDA
AU - Shinya MATSUFUJI
PY - 2017
DO - 10.1587/transfun.E100.A.953
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2017
AB - The present paper introduces the construction of quadriphase sequences having a zero-correlation zone. For a zero-correlation zone sequence set of N sequences, each of length l, the cross-correlation function and the side lobe of the autocorrelation function of the proposed sequence set are zero for the phase shifts τ within the zero-correlation zone z, such that |τ|≤z (τ ≠ 0 for the autocorrelation function). The ratio $ rac{N(z+1)}{ell}$ is theoretically limited to one. When l=N(z+1), the sequence set is called an optimal zero-correlation sequence set. The proposed zero-correlation zone sequence set can be generated from an arbitrary Hadamard matrix of order n. The length of the proposed sequence set can be extended by sequence interleaving, where m times interleaving can generate 4n sequences, each of length 2m+3n. The proposed sequence set is optimal for m=0,1 and almost optimal for m>1.
ER -
English
