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The authors consider a general wireless channel model for different types of Code-Division Multiple Access (CDMA) and Space-Division Multiple-Access (SDMA) systems with isometric random signature/precoding matrices over frequency-selective and flat fading channels. They derive deterministic approximations of the Stieltjes transform, the mutual information and the Signal-to-Interference-plus-Noise Ratio (SINR) at the output of the Minimum-Mean-Square-Error (MMSE) receiver and provide a simple fixed-point algorithm for their computation, which is proved to converge. The deterministic approximations are asymptotically tight, almost surely, but shown by simulations to be very accurate for even small system dimensions.
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