Channel capacity and beamforming for multiple transmit and receive antennas with covariance feedback

S. A. Jafar, S. Vishwanath, A. Goldsmith

Research output: Contribution to journalConference articlepeer-review

203 Scopus citations


We consider the capacity of a narrowband point to point communication system employing multiple-element antenna arrays at both the transmitter and the receiver with covariance feedback. Under covariance feedback the receiver is assumed to have perfect Channel State Information (CSI) while at the transmitter the channel matrix is modeled as consisting of zero mean complex jointly Gaussian random variables with known covariances. Specifically we assume a channel matrix with i.i.d. rows and correlated columns, a common model for downlink transmission. We determine the optimal transmit precoding strategy to maximize the Shannon capacity of such a system. We also derive closed form necessary and sufficient conditions on the spatial covariance for when the maximum capacity is achieved by beamforming. The conditions for optimality of beamforming agree with the notion of waterfilling over multiple degrees of freedom.

Original languageEnglish (US)
Pages (from-to)2266-2270
Number of pages5
JournalIEEE International Conference on Communications
StatePublished - 2001
Externally publishedYes
EventInternational Conference on Communications (ICC2001) - Helsinki, Finland
Duration: Jun 11 2000Jun 14 2000

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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