GF(q) m sequences with complex spreading mapping are considered for DS
-CDMA systems by referring to three different environments with increa
sing synchronicity levels. For all environments, performance evaluatio
n is derived both with a deterministic approach requiring spreading se
quence specification, and with a statistical derivation, based on the
assumption of spreading sequence ergodicity, in order to give closed-f
orm performance theory. The optimal mapping design criterion, through
zero-mean complex code mapping, is computed for all environments and v
alidated through several numerical tests. Performance invariance, with
respect to sequence levels, has been demonstrated for low synchronous
environments, where the proposed sequence gives better performance.