Optimal and near-optimal frequency-hopping sequences based on Gaussian period-Reference-Cited by-同舟云学术

Optimal and near-optimal frequency-hopping sequences based on Gaussian period

Published:2023 Issue:12 Volume:8 Page:29158-29170
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Wang Yan¹,Fu Yanxi¹,Li Nian²,Wang Huanyu¹

Affiliation:

1. School of Science, Xi'an University of Architecture and Technology, Caosi East Road, Xi'an, Shaanxi, 710311, China

2. Hubei Key Laboratory of Applied Mathematics, School of Cyber Science and Technology, Hubei University, Wuhan, Hubei, 430062, China

Abstract

<abstract><p>Frequency-hopping sequences (FHSs) have a decisive influence on the whole frequency-hopping communication system. The Hamming correlation function plays an important role in evaluating the performance of FHSs. Constructing FHS sets that meet the theoretical bounds is crucial for the research and development of frequency-hopping communication systems. In this paper, three new classes of optimal FHSs based on trace functions are constructed. Two of them are optimal FHSs and the corresponding periodic Hamming autocorrelation value is calculated by using the known Gaussian period. It is shown that the new FHSs are optimal according to the Lempel-Greenberger bound. The third class of FHSs is the near-optimal FHSs.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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