New designs for signal sets with low cross correlation, balance property, and large linear span: GF(p) case (2002) [4 citations — 1 self]
|
Abstract:
Abstract. New designs for families of sequences over GF (p) with low cross correlation, balance property and large linear span are presented. The key idea of the new designs is to use short p-ary sequences of period v with the 2-level auto correlation function to construct a set of long sequences with the designed properties. The resulting sequences are of interleaved sequences of period v 2. There are v cyclically shift distinct sequences in each family. The maximal magnitude of cross/out-of-phase auto correlation of sequences in the family is 2v + 3 which is optimal with respect to the Welch bound. In particular, for binary case, cross/out-of-phase auto correlation values belong to the set f1; v; v + 2; 2v + 3; 2v 1g. Each sequence in the family is balanced and has large linear span. For binary case, any sequence in such a family where the short sequences are quadratic residue sequences achieves the maximal linear span. For non-binary case, the new design gives the rst type of signal sets with optimal correlation, balance property and large linear span. Key words. Interleaved sequences, low cross correlation, 2-level auto correlation, randomness property, linear span, nite eld, non-binary sequences. 1
