The asymptotic multiuser efficiency of M-stage interference cancellation receivers

In this paper we derive the asymptotic multiuser efficiency (AME) of M-stage interference cancellation receivers and show that as the number of stages increases to infinity, the receiver is equivalent to the well known decorrelator. This fact holds provided certain bounds on the total cross-correlation between users are met. Thus, in such cases the M-stage receiver has an asymptotic multiuser efficiency which is greater than zero as M→∞ for all user energies, i.e. it is near-far resistant. Additionally, while not strictly near-far resistant in the case of M<∞, we show that significant improvement in AME is achieved when compared to the conventional receiver. Results are justified both analytically and through simulations