2003•Systems engineering and electronicsRequires access

Families of Almost Perfect Periodic Complementary Binary Sequence Pairs

Huilong Jin

Abstract

The concept of almost perfect autocorrelation sequence pairs is presented, and the theory of families of almost perfect periodic complementary binary sequence pairs (APCSPF) is given on the basis of the almost perfect autocorrelation sequence pairs. Some characteristics of APCSPF are discussed. The Fourier spectrum characteristics of APCSPF are studied, and the necessary conditions for the existence of APCSPF are given. The method for constructing an APCSPF is given and proved.

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Key concepts: Autocorrelation, Pseudorandom binary sequence, Sequence (biology), Mathematics, Binary number, Complementary sequences, Periodic sequence, Basis (linear algebra)