Sets of Optimal Frequency-Hopping Sequences

Ding, Cunsheng; Yin, Jianxing

doi:10.1109/tit.2008.926410

Cited by 128 publications

(60 citation statements)

References 11 publications

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“…Several optimal FHS sets were constructed from algebraic or combinatorial structures [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”

Section: Construction Of Frequency-hopping Sequences Of Length Nnmentioning

confidence: 99%

New Families of Optimal Frequency-Hopping Sequences of Composite Lengths

Chung

Gong

Yang

2014

IEEE Trans. Inform. Theory

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Frequency-hopping sequences (FHSs) are employed to mitigate the interferences caused by the hits of frequencies in frequency-hopping spread spectrum systems. In this paper, we present two new constructions for FHS sets. We first give a new construction for FHS sets of length nN for two positive integers n and N with gcd(n, N ) = 1. We then present another construction for FHS sets of length (q − 1)N , where q is a prime power satisfying gcd(q − 1, N ) = 1. By these two constructions, we obtain infinitely many new optimal FHS sets with respect to the Peng-Fan bound as well as new optimal FHSs with respect to the Lempel-Greenberger bound, which have length nN or n(q − 1)N . As a result, a great deal of flexibility may be provided in the choice of FHS sets for a given frequency-hopping spread spectrum system.

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“…Several optimal FHS sets were constructed from algebraic or combinatorial structures [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27].…”

Section: Construction Of Frequency-hopping Sequences Of Length Nnmentioning

confidence: 99%

New Families of Optimal Frequency-Hopping Sequences of Composite Lengths

Chung

Gong

Yang

2014

IEEE Trans. Inform. Theory

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“…Both algebraic and combinatorial constructions of such sequences were presented (see for example [2][3][4][6][7][8][11][12][13]18]). Table 1 describes the parameters of some known optimal sets of FH sequences, where the mark " * " means that the linear spans of the FH sequences in these optimal sets are discovered in this paper.…”

Section: Introductionmentioning

confidence: 99%

“…There are some constructions of optimal sets of FH sequences concerned with large linear spans (see for example [3,12,18,20]). Ding and Yin mentioned in [3] that new optimal sets of FH sequences having large linear spans could be obtained by applying a proper power permutation.…”

Section: Introductionmentioning

confidence: 99%

The linear span of the frequency hopping sequences in optimal sets

Wang

2010

Des. Codes Cryptogr.

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Frequency hopping (FH) sequences are needed in FH code division multiple access (CDMA) systems. Recently some new constructions of optimal sets of FH sequences were presented. For the anti-jamming purpose, FH sequences are required to have a large linear span. The objective of this paper is to determine both the linear spans and the minimal polynomials of the FH sequences in these optimal sets. Furthermore, the linear spans of the transformed FH sequences by applying a power permutation are also investigated. If the power is chosen properly, the linear span could be very large compared to the length of the FH sequences.

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“…to have low Hamming correlation for minimization of interference caused by two transmitters hitting the same frequency, and have large linear span to prevent sequence reconstruction by a potential jammer [1][2][3][4][5][6].…”

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confidence: 99%

“…Different from conventional frequency hopping sequence design [1][2][3][4][5][6], the FH sequence design with no hit zone (NHZ) or low hit zone (LHZ) aims at making Hamming correlation values equal to zero or a low value within a correlation zone. The significance of NHZ/LHZ sequence set is that, even if there are relative delays between the transmitted FH sequences, there will be no hit or the number of hits will be kept at a very low level between different sequences as long as the relative delay does not exceed a certain limit, thus reducing or eliminating the mutual interference [11][12][13].…”

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confidence: 99%

New designs of frequency hopping sequences with low hit zone

Sun

2010

Des. Codes Cryptogr.

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Frequency hopping sequences have been found wide applications in various modern frequency hopping spread spectrum communications and radar systems. With potential applications to these areas such as ultra wide bandwidth time hopping code division multiple access radio systems, multi-user and sonar systems, the design of quasi-synchronous time/frequency hopping code division multiple access systems by employing low hit zone hopping sequences has attracted wide attentions. In this paper, we present three construction methods for the low Hamming correlation zone frequency hopping sequences. The parameters of these sets of frequency hopping sequences with low hit zone are new and flexible. The constructed sequences are almost optimal and optimal respectively with respect to the Peng-Fan-Lee bounds. The simplicity of this technique makes it attractive for practical use.Keywords Code division multiple access · Frequency hopping sequence · The Peng-Fan-Lee bounds · Low Hamming correlation zone frequency hopping sequence Mathematics Subject Classification (2000) 94A55 · 94A05

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Sets of Optimal Frequency-Hopping Sequences

Cited by 128 publications

References 11 publications

New Families of Optimal Frequency-Hopping Sequences of Composite Lengths

New Families of Optimal Frequency-Hopping Sequences of Composite Lengths

The linear span of the frequency hopping sequences in optimal sets

New designs of frequency hopping sequences with low hit zone

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