Convergence and stability analysis of the adaptive "Bootstrap" CDMA multi-user detector

The "Bootstrap" algorithm provides an efficient adaptive mult-user detection approach to solve the near-far problem in CDMA communication systems. The weight vectors are controlled by a simple decorrelation scheme which minimizes the correlation between their outputs and the hard limited version of the other outputs, respectively. It has been shown that the "Bootstrap" algorithm provides performance similar to that of MMSE with low complexity. In this article, the convergence and stability of the "Bootstrap" algorithm is considered. Sufficient conditions for the code cross-correlation and the step size are provided.