TY - GEN
T1 - Capacity of beamforming with limited training and feedback
AU - Santipach, Wiroonsak
AU - Honig, Michael L.
PY - 2006
Y1 - 2006
N2 - We examine the capacity of beamforming over a Multi-Input/Single-Output block Rayleigh fading channel with finite training for channel estimation and limited feedback. A fixed-length packet is assumed, which is spanned by T training symbols, B feedback bits, and the data symbols. The training symbols are used to obtain a Minimum Mean Squared Error (MMSE) estimate of the channel vector. Given this estimate, the receiver selects a transmit beamforming vector from a codebook containing 2B i.i.d. random vectors, and relays the corresponding B bits back to the transmitter. We derive bounds on the capacity and show that for a large number of transmit antennas Nt, the optimal T and B, which maximize the bounds, are approximately equal and both increase as Nt/log Nt. We conclude that with limited training and feedback, the optimal number of antennas to activate also increases as N t/log Nt.
AB - We examine the capacity of beamforming over a Multi-Input/Single-Output block Rayleigh fading channel with finite training for channel estimation and limited feedback. A fixed-length packet is assumed, which is spanned by T training symbols, B feedback bits, and the data symbols. The training symbols are used to obtain a Minimum Mean Squared Error (MMSE) estimate of the channel vector. Given this estimate, the receiver selects a transmit beamforming vector from a codebook containing 2B i.i.d. random vectors, and relays the corresponding B bits back to the transmitter. We derive bounds on the capacity and show that for a large number of transmit antennas Nt, the optimal T and B, which maximize the bounds, are approximately equal and both increase as Nt/log Nt. We conclude that with limited training and feedback, the optimal number of antennas to activate also increases as N t/log Nt.
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U2 - 10.1109/ISIT.2006.261617
DO - 10.1109/ISIT.2006.261617
M3 - Conference contribution
AN - SCOPUS:39049148088
SN - 1424405041
SN - 9781424405046
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 376
EP - 380
BT - Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006
T2 - 2006 IEEE International Symposium on Information Theory, ISIT 2006
Y2 - 9 July 2006 through 14 July 2006
ER -