Sequences and sequence pairs with imaginary correlation sidelobes

Abstract

SUMMARYTime-discrete signals with good correlation properties are used in various applications in communications engineering. In this paper, the construction of quadriphase and 8-phase sequences and sequence pairs with purely imaginary aperiodic, periodic and odd-periodic correlation sidelobes is discussed. Using coherent detection, these imaginary sequences show perfect correlation properties if only the real part of the correlation function is used.

A new class of Quadriphase Even-Shift Orthogonal Sequences

“…Those who are interested in other of sequence lengths may refer to [7]. Let N = 2 n (n ≥ 1) be the E-Sequences length.…”

“…Motivated by Matsufuji's methods, Lüke et al developed some efficient ways to obtain quadriphase and 8-phase sequences and sequences pairs with imaginary correlation sidelobes [7]. The IS found by Matsufuji et al were obtained from Golay complementary codes [8], so the sequences length is limited to N = 2 α 10 β 26 γ (α, β, γ = 0, 1, 2 .…”