New Bounds and Optimal Binary Signature Sets-Part I: Periodic Total Squared Correlation

作者：Ganapathy Harish^*; Pados Dimitris A; Karystinos George N

来源：IEEE Transactions on Communications, 2011, 59(4): 1123-1132.

DOI：10.1109/TCOMM.2011.020411.090404

• Binary sequences
• code-division multiple access (CDMA)
• cyclic correlation
• Gold sequences
• Karystinos-Pados bounds
• Kasami sequences
• periodic correlation
• signature design
• total squared correlation
• Welch bound

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.

• 出版日期2011-4