Combined use of complementary pairs of sequences with orthogonal sequences of different length

Abstract

Complementary pairs of sequences (Golay sequences) are currently being applied to multiple fields of engineering. This paper describes the way in which to combine these sequences with other sequences of different length in the same physical transmission channel by generating pairs of sequences which are not Golay but are orthogonal to them. This new set of sequence pairs can be efficiently generated, thereby rendering their implementation suitable for logic devices. The possibility of attaining a combined use of sequences of different lengths, with no interference between them, in the same application will be demonstrated, so allowing the use of each sequence for different purposes. This technique offers a wide range of uses, especially among them, in communications, transmission channel identification and multisensor arrays.