Stochastic conjugate gradient based multi-user constant modulus algorithm for use in multiuser DS-CDMA environment

A Stochastic Conjugate Gradient Algorithms (SCGA) is proposed for the solving nonlinear optimization problem associated with the multi-user constant modulus algorithm (CC-CMA) for DS-CDMA receivers in a multi-user environment. The algorithm referred to as the stochastic conjugate gradient CC-CMA (SCGCC-CMA). Simulations show that the SCGCC-CMA algorithm preserves the fast convergence rate of the block-shanno cross correlation constant modulus algorithm (BSCC-CMA) [1], can be configured to perform similar to the recursive least squares (RLS) version of the CC-CMA algorithm, and can outperform the conventional CC-CMA for less cost. The proposed algorithms can also be used in DS/CDMA systems to solve the problem of joint blind channel equalization and blind source separation in a single-user and multi-user environment. Alternatively, a window sliding parameter may be adjusted to trade off between performance and computation to match system requirements. We will also propose a convergence analysis for the proposed algorithms.