On the minimization of the total generalized squared correlation of synchronous DS-CDMA

We characterize the total generalized squared correlation (TGSC) for a given signature sequence set used in uplink synchronous code division multiple access (S-CDMA) when channel state information is known perfectly at both transmitter and receiver. We give a definition of the TGSC based on the eigenvalues of Gram matrix associated to signature sequences set for multipath channels in the presence of the colored noise. Total squared correlation (TSC) and total weighted squared correlation (TWSC) measures are particular cases of TGSC. Modified alternating projection method and gradient flow method for minimizing TGSC (TSC, TWSC) in multipath channels and in the presence of the colored noise are investigated.