New bounds and optimal binary signature sets—Part I: Periodic total squared correlationNew bounds and optimal binary signature sets—Part I: Periodic total squared correlation Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-232011enWe derive new bounds on the periodic (cyclic) total squared correlation (PTSC) of binary antipodal signature sets for any number of signatures K and any signature length L. Optimal designs that achieve the new bounds are then developed for several (K,L) cases. As an example, it is seen that complete (K = L + 2) Gold sets are PTSC optimal, but not, necessarily, Gold subsets of K <; L + 2 signatures. In contrast, arguably against common expectation, the widely used Kasami sets are not PTSC optimal in general. The optimal sets provided herein are in this sense better suited for asynchronous and/or multipath code-division multiplexing applications.Δημοσίευση σε επιστημονικό περιοδικό http://creativecommons.org/licenses/by/4.0/IEEE Transactions on Communications4591123 - 1132 Ganapathy, H Pados, D.A Karystinos Georgios Καρυστινος Γεωργιος Institute of Electrical and Electronics Engineers Binary sequences Gold sequences Karystinos-Pados bounds Kasami sequences Welch bound code-division multiple access (CDMA) cyclic correlation periodic correlation signature design total squared correlation