Odd Perfect Sequences and Sets of Spreading Sequences with Zero or Low Odd Periodic Correlation Zone
- Cite this paper as:
- Yang Y., Gong G., Tang X. (2012) Odd Perfect Sequences and Sets of Spreading Sequences with Zero or Low Odd Periodic Correlation Zone. In: Helleseth T., Jedwab J. (eds) Sequences and Their Applications – SETA 2012. SETA 2012. Lecture Notes in Computer Science, vol 7280. Springer, Berlin, Heidelberg
In this paper, we apply shift sequences defined by difference balanced function with d-form property to construct (almost) perfect or odd perfect sequences, which is a generalization of the construction given by Krengel in 2004. We then propose new signal sets with flexible parameters and zero odd periodic correlation zone or low odd periodic correlation zone property, by interleaving an odd perfect sequence or a sequence with low odd periodic correlation. Furthermore, we show that the parameters of some constructed signal sets are optimal with respect to the odd periodic correlation bound.
KeywordsPeriodic correlation odd periodic correlation low (odd periodic) correlation zone zero (odd periodic) correlation zone difference balanced functions
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