Abstract
In quasi-synchronous frequency-hopping code division multiple-access systems, frequency-hopping sequences (FHSs) with low-hit-zone (LHZ) are commonly employed to minimize multiple-access interferences. Usually, the length of correlation window is shorter than the period of the chosen FHSs due to the limited synchronization time or hardware complexity. Therefore, the study of the partial Hamming correlation properties of an FHS set with LHZ is particularly important. In this paper, we prove the nonexistence of an LHZ-FHS set with strictly optimal maximum partial Hamming correlation in some conditions. A sufficient condition for an LHZ-FHS set with strictly optimal average partial Hamming correlation is also given. In addition, a concatenated construction method is presented. The LHZ-FHS sets with optimal maximum partial Hamming correlation and the LHZ-FHS sets with strictly optimal average partial Hamming correlation whose sequence length can be infinite are constructed by the new construction, respectively.
This work was supported by the National Science Foundation of China (Grant No. 61271244).
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Han, H., Peng, D., Liu, X. (2014). On Low-Hit-Zone Frequency-Hopping Sequence Sets with Optimal Partial Hamming Correlation. In: Schmidt, KU., Winterhof, A. (eds) Sequences and Their Applications - SETA 2014. SETA 2014. Lecture Notes in Computer Science(), vol 8865. Springer, Cham. https://doi.org/10.1007/978-3-319-12325-7_25
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DOI: https://doi.org/10.1007/978-3-319-12325-7_25
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