Constructions of Multiple Shift-Distinct Signal Sets with Low Correlation

In this paper, we introduce a concept of correlation of multiple shift-distinct signal sets, and make a connection between constructions of multiple binary signal sets with low maximum correlation and constructions of a binary signal set with larger size and low maximum correlation. We then present one construction for multiple shift-distinct binary signal sets with low maximum correlation using Kasami (small) signal sets (or generalized Kasami signals sets). We show that the constructed m Kasami signal sets, in which each sequence has period N = 2^2m - 1, satisfies the tth-order shift-distinct property, which is a new concept introduced in this paper. As a by-product, this construction also yields some new pairs of m-sequences with different periods and three-valued crosscorrelation.