Abstract

This paper investigates iterative detection based on expectation propagation (EP) in overloaded multiple-input multiple-output systems. The conjugate gradient (CG) method is utilized to reduce the per-iteration complexity of EP detection. Under the assumption of unitarily invariant channel matrices, the dynamics of EP detection based on the CG method (EP-CG) is analyzed in the large system limit, where the transmit and receive dimensions tend to infinity at an identical rate. The main result is a rigorous derivation of state evolution for EP-CG.

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