A Novel Class of Zero-Correlation Zone Sequence Set Having a Low Peak-Factor and a Flat Power Spectrum

Takafumi HAYASHI; Yodai WATANABE; Anh T. PHAM; Toshiaki MIYAZAKI; Shinya MATSUFUJI; Takao MAEDA

doi:10.1587/transfun.E98.A.2429

A Novel Class of Zero-Correlation Zone Sequence Set Having a Low Peak-Factor and a Flat Power Spectrum

Takafumi HAYASHI, Yodai WATANABE, Anh T. PHAM, Toshiaki MIYAZAKI, Shinya MATSUFUJI, Takao MAEDA

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The present paper introduces a novel method for the construction of a class of sequences that have a zero-correlation zone. For the proposed sequence set, both the cross-correlation function and the side lobe of the auto-correlation function are zero for phase shifts within the zero-correlation zone. The proposed scheme can generate a set of sequences of length 8n² from an arbitrary Hadamard matrix of order n and a set of 2n trigonometric-like function sequences of length 4n. The proposed sequence construction can generate an optimal zero-correlation zone sequence set that satisfies the theoretical bound on the number of members for the given zero-correlation zone and sequence period. The auto-correlation function of the proposed sequence is equal to zero for all nonzero phase shifts. The peak factor of the proposed sequence set is √2, and the peak factor of a single trigonometric function is equal to √2. Assigning the sequences of the proposed set to a synthetic aperture ultrasonic imaging system would improve the S/N of the obtained image. The proposed sequence set can also improve the performance of radar systems. The performance of the applications of the proposed sequence sets are evaluated.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.12 pp.2429-2438

Publication Date: 2015/12/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E98.A.2429

Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)

Category: Sequence

Authors

Takafumi HAYASHI
  The University of Aizu
Yodai WATANABE
  The University of Aizu
Anh T. PHAM
  The University of Aizu
Toshiaki MIYAZAKI
  The University of Aizu
Shinya MATSUFUJI
  Yamaguchi University
Takao MAEDA
  The University of Aizu

Keyword

optimal zero-correlation zone, low peak-factor, pseudo-white noise, perfect sequence

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Takafumi HAYASHI, Yodai WATANABE, Anh T. PHAM, Toshiaki MIYAZAKI, Shinya MATSUFUJI, Takao MAEDA, "A Novel Class of Zero-Correlation Zone Sequence Set Having a Low Peak-Factor and a Flat Power Spectrum" in IEICE TRANSACTIONS on Fundamentals, vol. E98-A, no. 12, pp. 2429-2438, December 2015, doi: 10.1587/transfun.E98.A.2429.
Abstract: The present paper introduces a novel method for the construction of a class of sequences that have a zero-correlation zone. For the proposed sequence set, both the cross-correlation function and the side lobe of the auto-correlation function are zero for phase shifts within the zero-correlation zone. The proposed scheme can generate a set of sequences of length 8n² from an arbitrary Hadamard matrix of order n and a set of 2n trigonometric-like function sequences of length 4n. The proposed sequence construction can generate an optimal zero-correlation zone sequence set that satisfies the theoretical bound on the number of members for the given zero-correlation zone and sequence period. The auto-correlation function of the proposed sequence is equal to zero for all nonzero phase shifts. The peak factor of the proposed sequence set is √2, and the peak factor of a single trigonometric function is equal to √2. Assigning the sequences of the proposed set to a synthetic aperture ultrasonic imaging system would improve the S/N of the obtained image. The proposed sequence set can also improve the performance of radar systems. The performance of the applications of the proposed sequence sets are evaluated.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.2429/_p

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@ARTICLE{e98-a_12_2429,
author={Takafumi HAYASHI, Yodai WATANABE, Anh T. PHAM, Toshiaki MIYAZAKI, Shinya MATSUFUJI, Takao MAEDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Novel Class of Zero-Correlation Zone Sequence Set Having a Low Peak-Factor and a Flat Power Spectrum},
year={2015},
volume={E98-A},
number={12},
pages={2429-2438},
abstract={The present paper introduces a novel method for the construction of a class of sequences that have a zero-correlation zone. For the proposed sequence set, both the cross-correlation function and the side lobe of the auto-correlation function are zero for phase shifts within the zero-correlation zone. The proposed scheme can generate a set of sequences of length 8n² from an arbitrary Hadamard matrix of order n and a set of 2n trigonometric-like function sequences of length 4n. The proposed sequence construction can generate an optimal zero-correlation zone sequence set that satisfies the theoretical bound on the number of members for the given zero-correlation zone and sequence period. The auto-correlation function of the proposed sequence is equal to zero for all nonzero phase shifts. The peak factor of the proposed sequence set is √2, and the peak factor of a single trigonometric function is equal to √2. Assigning the sequences of the proposed set to a synthetic aperture ultrasonic imaging system would improve the S/N of the obtained image. The proposed sequence set can also improve the performance of radar systems. The performance of the applications of the proposed sequence sets are evaluated.},
keywords={},
doi={10.1587/transfun.E98.A.2429},
ISSN={1745-1337},
month={December},}

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TY - JOUR
TI - A Novel Class of Zero-Correlation Zone Sequence Set Having a Low Peak-Factor and a Flat Power Spectrum
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2429
EP - 2438
AU - Takafumi HAYASHI
AU - Yodai WATANABE
AU - Anh T. PHAM
AU - Toshiaki MIYAZAKI
AU - Shinya MATSUFUJI
AU - Takao MAEDA
PY - 2015
DO - 10.1587/transfun.E98.A.2429
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2015
AB - The present paper introduces a novel method for the construction of a class of sequences that have a zero-correlation zone. For the proposed sequence set, both the cross-correlation function and the side lobe of the auto-correlation function are zero for phase shifts within the zero-correlation zone. The proposed scheme can generate a set of sequences of length 8n² from an arbitrary Hadamard matrix of order n and a set of 2n trigonometric-like function sequences of length 4n. The proposed sequence construction can generate an optimal zero-correlation zone sequence set that satisfies the theoretical bound on the number of members for the given zero-correlation zone and sequence period. The auto-correlation function of the proposed sequence is equal to zero for all nonzero phase shifts. The peak factor of the proposed sequence set is √2, and the peak factor of a single trigonometric function is equal to √2. Assigning the sequences of the proposed set to a synthetic aperture ultrasonic imaging system would improve the S/N of the obtained image. The proposed sequence set can also improve the performance of radar systems. The performance of the applications of the proposed sequence sets are evaluated.
ER -