Title :
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
fDate :
4/1/2007 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2007.892769
