Families of polyphase sequences with near-optimal two-valued auto- and crosscorrelation functions

A construction method is proposed for new families of uniform polyphase sequences with near-optimal correlation. These families consist each of N sequences of length N and energy N with the following unique properties: (a) the sidelobes of the periodic autocorrelation functions have constant, nearly perfect magnitude 1; (b) the sequences are orthogonal; (c) all sidelobes of the periodic crosscorrelation functions have the constant magnitude square root (N+1); and (d) the correlation values asymptotically reach the Sarwate bound.