Constructs of Sequence Pairs with Optimal Three-level Autocorrelation

The Constructions of Almost Binary Sequence Pairs and Binary Sequence Pairs with Three-Level Autocorrelation

New families of binary sequences with optimal three-level autocorrelation

In this correspondence we give several new families of binary sequences of period with optimal three-level autocorrelation, where 2(mod 4). These sequences are either balanced or almost balanced. Our construction is based on cyclotomy.

Sequence Pairs with Lowest Combined Autocorrelation and Crosscorrelation

For a pair $(f,g)$ of sequences of length $\ell$ whose terms are in $\{-1,1\}$, Pursley and Sarwate established a lower bound on a combined measure of crosscorrelation and autocorrelation for $f$ and $g$. They showed that the sum of the mean square crosscorrelation between $f$ and $g$ and the geometric mean of $f$'s mean square autocorrelation and $g$'s mean square autocorrelation must be at le...

Sequence pairs with asymptotically optimal aperiodic correlation

The Pursley-Sarwate criterion of a pair of finite complex-valued sequences measures the collective smallness of the aperiodic autocorrelations and the aperiodic crosscorrelations of the two sequences. It is known that this quantity is always at least 1 with equality if and only if the sequence pair is a Golay pair. We exhibit pairs of complex-valued sequences whose entries have unit magnitude f...

Several classes of binary sequences with three-level autocorrelation

In this correspondence we describe several classes of binary sequences with three-level autocorrelation. Those classes of binary sequences are based on cyclic almost difference sets. Some classes of binary sequences have optimum autocorrelation.