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

@article{Ge2009OptimalFH,
  title={Optimal Frequency Hopping Sequences: Auto- and Cross-Correlation Properties},
  author={Gennian Ge and Ying Miao and Zhongxiang Yao},
  journal={IEEE Transactions on Information Theory},
  year={2009},
  volume={55},
  pages={867-879}
}
Frequency hopping (FH) sequences play a key role in frequency hopping spread spectrum communication systems. In order to evaluate the performance of FH sequences, Lempel and Greenberger (1974) and Peng and Fan (2004) derived lower bounds on their Hamming auto- and cross-correlations. In this paper, we construct families of FH sequences with Hamming correlations meeting those bounds by combinatorial and algebraic techniques. We first construct optimal families consisting of a single FH sequence… CONTINUE READING

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