On the Application of a Hybrid Incomplete Exponential Sum to Aperiodic Hamming Correlation of Some Frequency-Hopping Sequences [PDF]
Frequency-hopping sequences are essential in frequency-hopping spread spectrum communication systems due to their strong anti-interference capabilities, low probability of interception, and high confidentiality.
Peihua Li, Hongyu Han
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A Construction of Optimal One-Coincidence Frequency-Hopping Sequences via Generalized Cyclotomy [PDF]
Frequency-hopping sequences (FHSs) with low Hamming correlation are essential for synchronization and multiple-access communication systems. In this paper, we propose a novel construction of FHSs using generalized cyclotomy.
Minfeng Shao, Ying Miao
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On the Sidel'nikov Sequences as Frequency-Hopping Sequences
A (v,l, lambda)-FHS denotes a frequency-hopping sequence of length v over a frequency set of size l with maximum out-of-phase Hamming autocorrelation lambda. Recently, Ding and Yin constructed two FHS families for a prime power q satisfying q=ef+1 with positive integers e and f . Theorems 4 and 5 in their paper claim that these two FHS families include
Kyeongcheol Yang, Yun Kyoung Han
exaly +6 more sources
Diffusion-Based Frequency Hopping for Collision Mitigation in Dense Bluetooth Networks [PDF]
This paper challenges the conventional wisdom of using uniform random resource selection for collision resolution in distributed scheduling, particularly in wireless protocols.
Giwon Yang, Hyungjoon Shin, Hyogon Kim
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In frequency‐hopping (FH) communication systems, frequency‐hopping sequences (FHSs) determine systems' performance. For the quasi‐synchronous FH communication systems, no‐hit‐zone (NHZ) frequency sequences are good at preventing multi‐path interferences.
Haiyun Liu +3 more
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New bounds of wide‐gap frequency‐hopping sequences with frequency shift
With the rapid development of radar, the phenomenon of Doppler frequency shift is not rare. Frequency shift needs to be considered in order to accurately calculate the mutual interference between signals. Meanwhile, to reduce interference to the received
Qianhui Wei, Hongyu Han
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Construction of Optimal Frequency Hopping Sequence Set with Low-Hit-Zone
In quasi-synchronous frequency-hopping multiple access (QS-FHMA) systems, low-hit-zone (LHZ) frequency-hopping sequence (FHS) sets have been well-applied to reduce mutual interference (MI).
Xinyu Tian +3 more
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Asymptotic Gilbert–Varshamov Bound on Frequency Hopping Sequences [PDF]
Given a $q$-ary frequency hopping sequence set of length $n$ and size $M$ with Hamming correlation $H$, one can obtain a $q$-ary (nonlinear) cyclic code of length $n$ and size $nM$ with Hamming distance $n-H$. Thus, every upper bound on the size of a code from coding theory gives an upper bound on the size of a frequency hopping sequence set.
Xianhua Niu +2 more
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Low-Hit-Zone Wide Gap Frequency Hopping Sequence Sets With Optimal Average Hamming Correlation
In frequency hopping (FH) sequence design, the wide gap is an important performance indicator. In this paper, the average Hamming correlation of wide gap FH sequence (WG-FH sequence) sets with low hit zone, which has not yet been reported previously, is ...
Xing Liu +3 more
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New Families of Optimal Frequency Hopping Sequence Sets [PDF]
10 ...
Jingjun Bao, Lijun Ji
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