Το έργο με τίτλο New bounds and optimal binary signature sets—Part I: Periodic total squared correlation από τον/τους δημιουργό/ούς Ganapathy, H, Pados, D.A, Karystinos Georgios διατίθεται με την άδεια Creative Commons Αναφορά Δημιουργού 4.0 Διεθνές
Βιβλιογραφική Αναφορά
H. Ganapathy, D. A. Pados, and G. N. Karystinos, “New bounds and optimal binary signature sets-Part I: Periodic total squared correlation,” IEEE Transactions on Communications, vol. 59,no. 4, pp. 1123 - 1132, Apr. 2011. doi: 10.1109/TCOMM.2011.020411.090404
https://doi.org/10.1109/TCOMM.2011.020411.090404
We 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.