Analysing the convergence behaviour of the PIC detector

This paper analyses the convergence behaviour of the parallel interference cancellation (PIC) detector in code division multiple access (CDMA) systems. The paper introduces a general PIC detector model where it can be used to describe the interference cancellation process of the PIC detector with any type of tentative decision function. With this model, the PIC detector can be viewed as either a feedback system or an iterated-map neural network. Using the known results from previous stability analysis in these areas, the paper derives general conditions from which the sufficient condition for convergence of the PIC detector for a wide range of tentative decision functions can be calculated. As examples, the paper derives the sufficient condition for convergence of the PIC detector with linear decision, clip decision and hyperbolic tangent decision functions.