The Optimality of Transmit Beamforming: A Unified View

Author

Srinivasa, Sudhir ; Jafar, Syed A.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., California Univ., Irvine, CA

Volume

53

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

1558

Lastpage

1564

Abstract

The optimality of transmit beamforming for a multiple antenna system with partial/limited feedback is investigated and a single general necessary and sufficient condition for beamforming to achieve ergodic capacity is derived. The condition obtained is universal - applicable to all partial/limited feedback scenarios in all ergodic fading channel distributions regardless of the number of transmit/receive antennas or transmit power. Using the universal condition we explore the optimality of beamforming for the quantized mean feedback scheme, which unifies previous results for the separate cases of mean feedback and quantized feedback. Numerical results are provided to complement the analysis

Keywords

antenna arrays; channel capacity; fading channels; feedback; ergodic capacity; ergodic fading channel distribution; multiple antenna system; partial-limited feedback; receiving antenna; transmit beamforming optimality; transmitting antenna; Antenna accessories; Antenna feeds; Array signal processing; Channel capacity; Delay; Fading; Force feedback; Sufficient conditions; Transmitters; Transmitting antennas; Beamforming; ergodic capacity; multiple-input–multiple- output (MIMO) channels; partial feedback; quantized feedback; quantized mean feedback;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2007.892769

Filename

4137899