Capacity-achieving input covariance for single-user multi-antenna channels

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...

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Detalhes bibliográficos
Autores: Tulino, Antonia M., Lozano Solsona, Angel, Verdú, Sergio
Tipo de documento: artigo
Estado:Versión aceptada para publicación
Data de publicação:2006
País:España
Recursos:Universitat Pompeu Fabra
Repositório:Repositorio Digital de la UPF
OAI Identifier:oai:repositori.upf.edu:10230/16125
Acesso em linha:http://hdl.handle.net/10230/16125
http://dx.doi.org/10.1109/TWC.2006.1611096
Access Level:Acceso aberto
Palavra-chave:Ràdio -- Antenes
Tractament del senyal
Channel capacity
Multi-antenna arrays
Input optimization
Fading channels
Antenna correlation
Ricean channels
Keyhole channels
Channel-state Information
Descrição
Resumo: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.