Generalised Sarwate bounds on periodic autocorrelations and cross-correlations of binary sequences

A general periodic correlation bound named the generalised Sarwate bound for binary zero or low correlation zone (ZCZ/LCZ) sequence sets with respect to family size, sequence length, maximum autocorrelation sidelobe, maximum cross-correlation value and zero or low correlation zone, are derived. It is shown that all the previous periodic sequence bounds, such as the Sarwate bound, Welch bound and Tang-Fan bound, are only special cases of the generalised Sarwate bound.