On the Aperiodic Hamming Correlation of Frequency-Hopping Sequences from Norm Functions
- Cite this paper as:
- Zhou Z., Tang X., Yang Y., Parampalli U. (2012) On the Aperiodic Hamming Correlation of Frequency-Hopping Sequences from Norm Functions. In: Helleseth T., Jedwab J. (eds) Sequences and Their Applications – SETA 2012. SETA 2012. Lecture Notes in Computer Science, vol 7280. Springer, Berlin, Heidelberg
Frequency-hopping sequences (FHSs) are needed in frequency hopping code-division multiple-access (FH-CDMA) systems. Aperiodic Hamming correlation of FHSs matters in real applications, while it received little attraction in the literature compared with periodic Hamming correlation. In this paper, we study the aperiodic Hamming correlation of a family of FHSs via norm functions by Ding, Moisio and Yuan (IEEE Trans Inform Theory 53: 2606-2610, 2007). Bounds on their aperiodic Hamming correlation are established based on the calculation and estimation of some exponential sums over finite fields.
KeywordsAperiodic correlation Hamming correlation frequency- hopping sequences exponential sum hybrid sum
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