One-shot filtering equivalence for linear successive interference cancellation in CDMA

We consider a matrix-algebraic approach to linear successive interference cancellation (SIC). It is shown that both single- and multi-stage linear SIC schemes correspond to a one-shot linear matrix filtering that can be performed directly on the received chip-matched filtered received vector without explicitly performing the interference cancellation. This description allows for determining the bit error rate analytically. Also eigenvalue conditions for convergence of the multi-stage scheme are derived and the concept of ε-convergence introduced for determining the number of stages necessary for practical convergence