Generating functional analysis of CDMA soft-decision multiuser detector

Abstract

We investigate detection dynamics of a soft parallel interference canceller (soft-PIC), which includes a hard PIC as a special case, for CDMA multiuser detection, applied to a randomly spread, fully synchronous base-band uncoded CDMA channel model with additive white Gaussian noise (AWGN) under perfect power control in the large-system limit. We analyze the detection dynamics of the soft-PIC and the belief-propagation-based detector by the generating functional analysis (GFA). The GFA allows us to study the dynamics of infinitely large disordered system in an exact way.