Efficient filter for the generation/correlation of Golay binary sequence pairs

摘要

In this paper, a digital filter for the generation/correlation of binary Golay pairs of sequences of length 2~N · 10~M·26~P (N, M and P are non-negative integers) is proposed. It is carried out by means of a novel Golay kernel 26 decomposition, also introduced in this paper, combined with building blocks of Golay kernels 2 and 10, presented in previous works. The proposed filter has a similar architecture to the digital filter for the generation/correlation of Golay multilevel pairs of sequences, where the parameters at intermediate stages have to be adjusted to obtain Golay binary pairs of sequences in the final stage.