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Capacity-achieving input covariance for single-user multi-antenna channels
Tulino, Antonia M.; Lozano Solsona, Àngel; Verdú, Sergio
Universitat Pompeu Fabra
We characterize the capacity-achieving input covariance for multi-antenna channels known instantaneously at the receiver and in distribution at the transmitter. Our characterization, valid for arbitrary numbers of antennas, encompasses both the eigenvectors and the eigenvalues. The eigenvectors are found for zero-mean channels with arbitrary fading profiles and a wide range of correlation and keyhole structures. For the eigenvalues, in turn, we present necessary and sufficient conditions as well as an iterative algorithm that exhibits remarkable properties: universal applicability, robustness and rapid convergence. In addition, we identify channel structures for which an isotropic input achieves capacity.
Ràdio -- Antenes
Tractament del senyal
Channel capacity
Multi-antenna arrays
Input optimization
Fading channels
Antenna correlation
Ricean channels
Keyhole channels
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