New Bounds and Optimal Binary Signature Sets-Part II: Aperiodic Total Squared Correlation

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

来源：IEEE Transactions on Communications, 2011, 59(5): 1411-1420.

DOI：10.1109/TCOMM.2011.020811.090405

• Aperiodic correlation
• aperiodic complementary sequences
• Barker sequences
• code-division multiple access (CDMA)
• cyclic correlation
• Gold sequences
• Karystinos-Pados bounds
• Kasami sequences
• maximal merit factor
• periodic total squared correlation
• total squared correlation
• Welch bound

We derive new bounds on the aperiodic total squared correlation (ATSC) of binary antipodal signature sets for any number of signatures K and any signature length L. We then present optimal designs that achieve the new bounds for several (K, L) cases. As interesting -arguably- side results, we show that individual maximal merit factor sequences (for example Barker sequences) are single-user ATSC-optimal, while neither the familiar Gold nor the Kasami set designs are ATSC-optimal in general. The ATSC-optimal signature set designs provided in this work are in this sense better suited for asynchronous and/or multipath code-division multiplexing applications.

• 出版日期2011-5