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Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone

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Abstract

In this paper, several periodic Hamming correlation lower bounds for frequency hopping sequences with low hit zone, with respect to the size p of the frequency slot set, the sequence length L, the family size M, low hit zone L H (or no hit zone N H ), the maximum periodic Hamming autocorrelation sidelobe H a and the maximum periodic Hamming crosscorrelation H c , are established. It is shown that the new bounds include the known Lempel-Greenberger bounds, T.S. Seay bounds and Peng-Fan bounds for the conventional frequency hopping sequences as special cases.

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Authors and Affiliations

  1. Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, 610031, China

    Peng Daiyuan & Fan Pingzhi

  2. Institute of Information and Communications, Chonbuk National University, Jeonju, 560-756, Korea

    Lee Moon Ho

Authors
  1. Peng Daiyuan
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  2. Fan Pingzhi
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  3. Lee Moon Ho
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Correspondence to Peng Daiyuan.

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Peng, D., Fan, P. & Lee, M.H. Lower bounds on the periodic Hamming correlations of frequency hopping sequences with low hit zone. SCI CHINA SER F 49, 208–218 (2006). https://doi.org/10.1007/s11432-006-0208-6

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  • DOI: https://doi.org/10.1007/s11432-006-0208-6

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