Large low probability of intercept properties of the quaternary sequence with optimal correlation property constructed by legendre sequences

Abstract

In this paper, we consider the Low Probability of Intercept(LPI) property of the quaternary sequence proposed by Kim, Jang, Kim, and No. We derive the LPI property of the sequence by calculating the triple autocorrelation bound of the sequence. The derived bound is approximately twice square root of the period of sequence that is similar to the triple correlation property of binary Legendre sequence.

Autocorrelation of a class of quaternary sequences of period $2p^m$

“…The mainly methods for constructing quaternary sequences are the inverse Gray mapping and the generalized cyclotomy. In [6], [7], [8], [9], quaternary sequences over Z 4 with good autocorrelation have been constructed by using the inverse Gray mapping. In [10], [11], [12], the authors used the generalized cyclotomy to present quaternary sequences with different periods.…”