Optimal Frequency Hopping Sequences: Auto- and Cross-Correlation Properties

Ge, Gennian; Miao, Ying; Yao, Zhongxiang

doi:10.1109/tit.2008.2009856

Cited by 117 publications

(57 citation statements)

References 9 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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“…We found exceptionally convenient the use of the Hamming correlation approach [15] in order to submit a strong enough criterion regarding optimality of a FH code set based on Fig. 4.…”

Section: A System Performance In Sfhss-ma Scenariomentioning

confidence: 99%

Performance of a Frequency-Hopped Real-Time Remote Control System in a Multiple Access Scenario

Cervantes

St-Hilaire

2011

2011 Ninth Annual Communication Networks and Services Research Conference

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The ubiquitous presence of powerful low-power wireless systems on chip (SoC) able to operate in the Industrial, Scientific and Medical (ISM) band has brought a new enhanced operational choice for real-time Radio Control (RC) applications such as aircrafts and cars in the hobby grade category. Frequency Hopping Spread Spectrum (FHSS) has become the dominant transmission technique for the previously mentioned hardware platform. Even though, FHSS provides for resilience to noise and interference, partial-band type of interference could be specially harmful with regards to the overall system performance. This is critical in real-time RC applications as it could increase system latency. The present paper characterizes the performance of a single real-time RC application, which operates in a realistic

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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%

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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Optimal Frequency Hopping Sequences: Auto- and Cross-Correlation Properties

Cited by 117 publications

References 9 publications

New Families of Optimal Frequency-Hopping Sequences of Composite Lengths

New Families of Optimal Frequency-Hopping Sequences of Composite Lengths

Performance of a Frequency-Hopped Real-Time Remote Control System in a Multiple Access Scenario

The linear span of the frequency hopping sequences in optimal sets

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