TY - GEN

T1 - Capacity of beamforming with limited training and feedback

AU - Santipach, Wiroonsak

AU - Honig, Michael L

PY - 2006/12/1

Y1 - 2006/12/1

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 -