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In this paper, the authors introduce iterative deterministic equivalents as a novel technique for the performance analysis of communication systems whose channels are modeled by complex combinations of independent random matrices. This technique extends the deterministic equivalent approach for the study of functional of large random matrices to a broader class of random matrix models which naturally arise as channel models in wireless communications. They present two specific applications: They consider a multi-hop Amplify-and-Forward (AF) MIMO relay channel with noise at each stage and derive deterministic approximations of the mutual information after the Kth hop. They study a MIMO Multiple Access Channel (MAC) where the channel between each transmitter and the receiver is represented by the double-scattering channel model.
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