Lower Bounds on the Aperiodic Hamming Correlations of Frequency Hopping Sequences

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概要

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• In order to evaluate the goodness of frequency hopping (FH) sequence design, the periodic Hamming correlation function is used as an important measure. But aperiodic Hamming correlation of FH sequences matters in real applications, while it received little attraction in the literature compared with periodic Hamming correlation. In this paper, the new aperiodic Hamming correlation lower bounds for FH sequences, with respect to the size of the frequency slot set, the sequence length, the family size, the maximum aperiodic Hamming autocorrelation and the maximum aperiodic Hamming crosscorrelation are established. The new aperiodic bounds are tighter than the Peng-Fan bounds. In addition, the new bounds include the second powers of the maximum aperiodic Hamming autocorrelation and the maximum aperiodic Hamming crosscorrelation but the Peng-Fan bounds do not include them. For the given sequence length, the family size and the frequency slot set size, the values of the maximum aperiodic Hamming autocorrelation and the maximum aperiodic Hamming crosscorrelation are inside of an ellipse which is given by the new aperiodic bounds.

著者

• Liu Xing

  Provincial Key Lab Of Information Coding And Transmission Institute Of Mobile Communications Southwe

• Liu Fang

  Provincial Key Lab Of Information Coding And Transmission Inst. Of Mobile Communications Southwest J

• Peng Daiyuan

  Provincial Key Lab Of Information Coding And Transmission Inst. Of Mobile Communications Southwest J

• LIU Xing

  Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University

• LIU Fang

  Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University

• NIU Xianhua

  Department of Mathematics and Computer Engineering, Xihua University

関連論文

• Lower Bounds on the Aperiodic Hamming Correlations of Frequency Hopping Sequences with Low Hit Zone
• New p-Ary Sequences with Low Correlation and Large Family Size
• Lower Bounds on the Maximum Partial Correlations of Frequency Hopping Sequence Set with Low Hit Zone
• A New Set of Optimal Frequency-Hopping Sequences
• Performance of a Novel MFSK/FHMA System Employing No-Hit Zone Sequence Set over Rayleigh Fading Channel
• On the Linear Complexity of Chung-Yang Sequences over GF(q)
• Lower Bounds on the Aperiodic Hamming Correlations of Frequency Hopping Sequences
• New Classes of Optimal Low Hit Zone Frequency Hopping Sequences with New Parameters by Interleaving Technique

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