Polyphase golay sequences with semi-polyphase fourier transform and all-zero crosscorrelation: Construction B

Abstract

A new design of polyphase cyclic sequence sets of size L and sequence length N = LM, where L,M ϵ ℤ, that are simultaneously Golay, zero correlation zone (ZCZ), and have all-zero crosscorrelation, is described. The sequences have a semi-polyphase Fourier transform with a constant nonzero magnitude at M points and zero magnitude at (L-1) points. The design takes place in Zak space. The use of Zak space setting enables selection of a desirable Fourier transform zero placement, reduces computations, and links the Golay sequence design with the design of perfect sequences.