Το work with title New bounds and optimal binary signature sets - Part II: Aperiodic total squared correlation by Ganapathy, H, Pados, D.A., Karystinos Georgios is licensed under Creative Commons Attribution 4.0 International
Bibliographic Citation
H. Ganapathy, D. A. Pados, and G. N. Karystinos, “New bounds and optimal binary signature sets-Part II: Aperiodic total squared correlation,” IEEE Transactions on Communications, vol. 59, no. 5, pp. 1411 - 1420, May.2011. doi: 10.1109/TCOMM.2011.020811.090405
https://doi.org/10.1109/TCOMM.2011.020811.090405
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.