New Bound on Frequency Hopping Sequence Sets and Its Optimal Constructions

@article{Yang2011NewBO,
  title={New Bound on Frequency Hopping Sequence Sets and Its Optimal Constructions},
  author={Yang Yang and Xiaohu Tang and Parampalli Udaya and Daiyuan Peng},
  journal={IEEE Transactions on Information Theory},
  year={2011},
  volume={57},
  pages={7605-7613}
}
In this paper, we derive a new bound on maximum nontrivial Hamming correlation of frequency hopping (FH) sequences from the Singleton bound in error correcting code literature, and we discuss the relation between the new bound and the known ones on FH sequences. Further, we construct two classes of FH sequences from punctured Reed-Solomon codes and one class of FH sequences from polynomial functions, which meet the new bound. 

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References

Publications referenced by this paper.
SHOWING 1-10 OF 19 REFERENCES

Sets of Optimal Frequency-Hopping Sequences

  • IEEE Transactions on Information Theory
  • 2008
VIEW 1 EXCERPT

Optimal frequency-hopping sequences via cyclotomy

  • IEEE Transactions on Information Theory
  • 2005
VIEW 1 EXCERPT