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A new class of Quadriphase Even-Shift Orthogonal Sequences

In this paper, we systematically construct a new class of Quadriphase Even-Shift Orthogonal Sequences (or E-Sequences) from Golay Complementary codes using Sequence Interleaving. Besides having even-shift-orthogonal properties, the proposed E-Sequences have zero real aperiodic correlation functions for all shifts, so it is also a special class of Imaginary Sequences (IS). Due to its ideal real aperiodic correlation functions, the proposed E-Sequences perform much better than the traditional E-sequences which have zero aperiodic correlation functions only at even shifts. Through the properties of the proposed E-Sequences, we also establish the relationships between Golay-Complementary codes, Imaginary sequences, and E-sequences.