A Probabilistic Data Association (PDA) method is proposed in this letter fo
r multiuser detection over synchronous code-division multiple-access (CDMA)
communication channels. PDA models the undecided user signals as binary ra
ndom variables. By approximating the inter-user interference (IUI) as Gauss
ian noise with an appropriately elevated covariance matrix, the probability
associated with each user signal is iteratively updated. Computer simulati
ons show that the system usually converges within three to four iterations,
and the resulting probability of error is very close to that of the optima
l maximum-likelihood (ML) detector. Further modifications are also presente
d to significantly reduce the computational cost.