The Autocorrelation Magnitude of Balanced Binary Sequence Pairs of Prime Period src='/images/tex/26359.gif' alt='Nequiv 1(bmod 4)'> With Optimal Cross-Correlation

摘要

In this paper, for balanced binary sequence pairs (BBSPs for short) of period , the optimality of their cross-correlation is determined. Next, a lower bound on the maximal out-of-phase autocorrelation magnitude is established for BBSPs of period with optimal cross-correlation. Furthermore, BBSPs with optimal cross-correlation whose maximal out-of-phase autocorrelation magnitude achieves the new lower bound are constructed based on the cyclotomy of order 4. These proposed sequences have a periodic total squared correlation value meeting the Ganapathy-Pados-Karystinos bound, and are therefore an option for use in asynchronous CDMA systems.