Running inverse for implementing decorrelating detectors in synchronous DS/CDMA systems

We propose an efficient method for updating the inverse of the signature waveform cross-correlations (SWC) matrix when the number of users in the synchronous direct-sequence code-division multiple-access (DS/CDMA) system changes. It is shown that the computational complexity of the proposed method is O(n(2)) in which n represents the number of active users in the system.