Properties of Even-Shift Orthogonal Sequences

Abstract

This paper investigates properties of the even-shift orthogonal sequence of length 2n, whose out-of-phase aperiodic auto-correlation function takes zero at any even shift. It is shown that the halves of all E-sequences with odd n produced by logic functions are balanced sequences, whose elements 1 and -1 appear half, and there is not any balanced e-sequence for even n. Furthermore it is also shown that the aperiodic auto-correlation function possesses low values at odd shifts.