A new type of a linear decorrelating receiver, named Pseudo-Decorrelator, for asynchronous code division multiple access systems over an additive white Gaussian noise channel is presented in this paper. Starting with the analyis of the multiple access components of the decision statistics, the outputs of a bank of matched filters, the (K 3K) cross-correlation matrix for each bit is obtained. The non-square cross-correlation matrix is then inverted using the concept of Penrose's generalized inverse of a matrix. In this receiver, the detection process can be started before the whole sequence is received at the receiver, and computing the inverse of a (KN KN) cross-correlation matrix, generally required for linear decorrelating receivers, can be avoided because it is enough to compute only the generalized inverse of a (K 3K) cross-correlation matrix for each data bit. Here, K is the number of users and N is the length of input data sequence. Simulation results are also presented for K-user systems over an additive white Gaussian noise channel.

A new type of a linear decorrelating receiver, named Pseudo-Decorrelator, for asynchronous code division multiple access systems over a Rayleigh fading multipath channel is presented in this paper. Starting with the analyis of the multiple access components of the decision statistics, the outputs of a bank of matched filters, the (K 3K) cross-correlation matrix for each bit is obtained. The non-square cross-correlation matrix is then inverted using the concept of Penrose's generalized inverse of a matrix. In this receiver, the detection process can be started before the whole sequence is received at the receiver, and computing the inverse of a (KN KN) cross-correlation matrix, generally required for linear decorrelating receivers, can be avoided because it is enough to compute only the generalized inverse of a (K 3K) cross-correlation matrix for each data bit. Here, K is the number of users and N is the length of input data sequence. Simulation results are also presented for K-user systems over a Rayleigh fading multipath channel.