Non-Binary Sequences with the Perfect Periodic Auto-Correlation and with Optimal Periodic Cross-Correlation
E.M. Gabidulin · 2005
We propose two families of complex sequences with components on the unit circle (PSK sequences). Each sequence of a family has the perfect auto-correlation, i.e., all "out-of-phase" correlation coefficients are equal to zero. Magnitudes of all cross-correlation coefficients of any couple of sequences in a family are equal to the square root of a sequence length n. Thus both families are asymptotically Optimal with respect to the Sidelnikov-Welch's lower bound.