Aperiodic Correlation of Complex Sequences from Difference Sets

In this paper, we consider aperiodic correlation of complex maximum-Welch-bound-equality (MWBE) sequence constructed from difference sets. An MWBE sequence set is optimal in synchronous cross-correlation. However, for different ordered lists of the elements in a difference set, the corresponding MWBE sequences have different aperiodic auto- and cross- correlations. Several search algorithms are developed to find a good ordered list of the elements in a difference set so that the corresponding MWBE sequence set has low aperiodic correlations which can be less than radicN In N. In addition, the aperiodic correlation is further reduced by a deletion-based method.