Constructions of Z-Periodic Complementary Sequence Set with Flexible Flock Size

Based on orthogonal matrices, two constructions of Z-periodic complementary sequence set are introduced in this letter. The two proposed approaches can provide flexible choices for the flock size of the Z-periodic complementary sequence set, which cannot be obtained by known methods. The parameters of resultant Z-periodic complementary sequence sets are (M, N)PCS
_M2
^NM1
and (M, N -1)PCS
_M
2
^NN
1
respectively, which are all optimal when N
₁
<; N - 1. The resultant ZPCSs can be potential applied in multi-carriers CDMA communication systems and MIMO channel estimation.