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Efficient filter for the generation/correlation of Golay binary sequence pairs
Author(s) -
García Enrique,
Ureña Jesús,
García Juan J.,
Ruiz Daniel,
Pérez María C.,
García Juan C.
Publication year - 2014
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.1901
Subject(s) - binary golay code , complementary sequences , mathematics , binary number , algorithm , pseudorandom binary sequence , filter (signal processing) , sequence (biology) , combinatorics , arithmetic , computer science , biology , computer vision , genetics
SUMMARY 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. Copyright © 2013 John Wiley & Sons, Ltd.