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.