Dynamical replica theoretic analysis of CDMA detection dynamics
J P L Hatchett, M Okada · Journal of Physics A Mathematical and General · 2006
We investigate the detection dynamics of the Gibbs sampler for code-division multiple access (CDMA) multiuser detection. Our approach is based upon dynamical replica theory which allows an analytic approximation to the dynamics. We use this tool to investigate the basins of attraction when phase coexistence occurs and conclude that good decoding past the spinodal point is not practically possible with this algorithm. We examine the efficacy of our method by doing a comparison with Monte Carlo simulations.