Dynamical replica theoretic analysis of CDMA detection dynamics
J. P. L. Hatchett, M. Okada

TL;DR
This paper uses dynamical replica theory to analytically study the detection dynamics of the Gibbs sampler in CDMA multiuser detection, comparing results with Monte Carlo simulations.
Contribution
It introduces a novel application of dynamical replica theory to analyze CDMA detection dynamics and phase coexistence phenomena.
Findings
Analytic approximation of detection dynamics
Insights into basins of attraction during phase coexistence
Validation of theory through Monte Carlo simulations
Abstract
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 examine its efficacy via comparison with Monte Carlo simulations.
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