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Low-hit-zone frequency-hopping sequences (LHZ-FHSs) are frequency-hopping sequences with low Hamming correlation in a low-hit-zone (LHZ), which have important applications in quasi-synchronous communication systems. However, the strict quasi-synchronization may be hard to maintain at all times in practical FHMA networks, it is also necessary to minimize the Hamming correlation for time-shifts outside of the LHZ. The main objective of this letter is to propose a lower bound on the maximum correlation magnitude outside the low-hit-zone for LHZ-FHS sets. It turns out that the proposed bound is tight or almost tight in the sense that it can be achieved by some LHZ-FHS sets.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.7 pp.1096-1100

- Publication Date
- 2022/07/01

- Publicized
- 2022/01/21

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.2021EAL2064

- Type of Manuscript
- LETTER

- Category
- Coding Theory

Xiaoxiao CUI

Southwest Jiaotong University

Cuiling FAN

Southwest Jiaotong University

Xiaoni DU

Northwest Normal University

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Xiaoxiao CUI, Cuiling FAN, Xiaoni DU, "A Lower Bound on the Maximum Correlation Magnitude Outside LHZ for LHZ-FHS Sets" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 7, pp. 1096-1100, July 2022, doi: 10.1587/transfun.2021EAL2064.

Abstract: Low-hit-zone frequency-hopping sequences (LHZ-FHSs) are frequency-hopping sequences with low Hamming correlation in a low-hit-zone (LHZ), which have important applications in quasi-synchronous communication systems. However, the strict quasi-synchronization may be hard to maintain at all times in practical FHMA networks, it is also necessary to minimize the Hamming correlation for time-shifts outside of the LHZ. The main objective of this letter is to propose a lower bound on the maximum correlation magnitude outside the low-hit-zone for LHZ-FHS sets. It turns out that the proposed bound is tight or almost tight in the sense that it can be achieved by some LHZ-FHS sets.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAL2064/_p

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@ARTICLE{e105-a_7_1096,

author={Xiaoxiao CUI, Cuiling FAN, Xiaoni DU, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={A Lower Bound on the Maximum Correlation Magnitude Outside LHZ for LHZ-FHS Sets},

year={2022},

volume={E105-A},

number={7},

pages={1096-1100},

abstract={Low-hit-zone frequency-hopping sequences (LHZ-FHSs) are frequency-hopping sequences with low Hamming correlation in a low-hit-zone (LHZ), which have important applications in quasi-synchronous communication systems. However, the strict quasi-synchronization may be hard to maintain at all times in practical FHMA networks, it is also necessary to minimize the Hamming correlation for time-shifts outside of the LHZ. The main objective of this letter is to propose a lower bound on the maximum correlation magnitude outside the low-hit-zone for LHZ-FHS sets. It turns out that the proposed bound is tight or almost tight in the sense that it can be achieved by some LHZ-FHS sets.},

keywords={},

doi={10.1587/transfun.2021EAL2064},

ISSN={1745-1337},

month={July},}

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TY - JOUR

TI - A Lower Bound on the Maximum Correlation Magnitude Outside LHZ for LHZ-FHS Sets

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1096

EP - 1100

AU - Xiaoxiao CUI

AU - Cuiling FAN

AU - Xiaoni DU

PY - 2022

DO - 10.1587/transfun.2021EAL2064

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E105-A

IS - 7

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - July 2022

AB - Low-hit-zone frequency-hopping sequences (LHZ-FHSs) are frequency-hopping sequences with low Hamming correlation in a low-hit-zone (LHZ), which have important applications in quasi-synchronous communication systems. However, the strict quasi-synchronization may be hard to maintain at all times in practical FHMA networks, it is also necessary to minimize the Hamming correlation for time-shifts outside of the LHZ. The main objective of this letter is to propose a lower bound on the maximum correlation magnitude outside the low-hit-zone for LHZ-FHS sets. It turns out that the proposed bound is tight or almost tight in the sense that it can be achieved by some LHZ-FHS sets.

ER -