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We establish area theorems for iterative detection over coded linear systems(including multiple-input multipleoutput (MIMO) channels,inter-symbol-interference (ISI) channels, and orthogonal frequency-divisionmultiplexing (OFDM) systems). We propose a linear precoding technique thatasymptotically ensures the Gaussianness of the messages passed in iterativedetection, as the transmission block length tends to infinity. We show that theproposed linear precoding scheme with iterative linear minimum mean-squareerror (LMMSE) detection is potentially information lossless, under variousassumptions on the availability of channel state information at the transmitter(CSIT). Numerical results are provided to verify our analysis.

Achievable Rates of MIMO Systems with Linear Precoding and Iterative LMMSE Detection