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

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

Binary Sequence Pairs with Two-Level Correlation and Cyclic Difference Pairs

SUMMARY We investigate binary sequence pairs with two-level correlation in terms of their corresponding cyclic difference pairs (CDPs). We define multipliers of a cyclic difference pair and present an existence theorem for multipliers, which could be applied to check the exis-tence/nonexistence of certain hypothetical cyclic difference pairs. Then, we focus on the ideal case where all the out-o...

Design of Almost Perfect Complementary Sequence Pairs

Sequences with very low out-of-phase auto-correlation and cross-correlation function are widely used for synchronization in mobile communication and multimedia systems where reliable data transmissions are required. For optimum detection, synchronization sequences usually have out-of-phase correlation values that are very low or zero. However sequences with ideal correlation function are very r...

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...

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.