Generalized relative difference set pairs and approach for the study of binary sequence pairs
Gang Li
Abstract
Gang Li
Abstract
A new block design(generalized relative difference set pairs) was defined. The properties of generalized relative difference set pairs were studied. The autocorrelation of the binary sequence pairs corresponding to generalized relative difference set pairs was given. The autocorrelation of the binary sequence pairs has the same properties as the impulse. In practice the theory can expand the selecting range of perfect signal and meanwhile the theoretical basis for using generalized relative difference set pairs to study perfect binary sequence pairs is provided.
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A new block design(generalized relative difference set pairs) was defined. The properties of generalized relative difference set pairs were studied. The autocorrelation of the binary sequence pairs corresponding to generalized relative difference set pairs was given. The autocorrelation of the binary sequence pairs has the same properties as the impulse. In practice the theory can expand the selecting range of perfect signal and meanwhile the theoretical basis for using generalized relative difference set pairs to study perfect binary sequence pairs is provided.
Key concepts: Mathematics, Pseudorandom binary sequence, Autocorrelation, Binary number, Sequence (biology), Difference set, Set (abstract data type), Complementary sequences