Optimization of training and feedback for beamforming over a MIMO channel

Wiroonsak Santipach*, Michael L. Honig

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Scopus citations

Abstract

We examine the capacity of beamforming over a block Rayleigh fading Multi-Input/Multi-Output (MIMO) 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 matrix. 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-bit index back to the transmitter. We derive bounds on the large system capacity, i.e., as the number of transmit antennas Nt → ∞ and receive antennas Nr → ∞ with fixed ratio Nt/Nr. The bounds are used to show that the optimal T, which maximizes the capacity, increases as N t/ log Nt, whereas the optimal B increases as N t/ log2 Nt.

Original languageEnglish (US)
Title of host publication2007 IEEE Wireless Communications and Networking Conference, WCNC 2007
Pages1140-1144
Number of pages5
DOIs
StatePublished - 2007
Event2007 IEEE Wireless Communications and Networking Conference, WCNC 2007 - Kowloon, China
Duration: Mar 11 2007Mar 15 2007

Publication series

NameIEEE Wireless Communications and Networking Conference, WCNC
ISSN (Print)1525-3511

Other

Other2007 IEEE Wireless Communications and Networking Conference, WCNC 2007
CountryChina
CityKowloon
Period3/11/073/15/07

ASJC Scopus subject areas

  • Engineering(all)

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    Santipach, W., & Honig, M. L. (2007). Optimization of training and feedback for beamforming over a MIMO channel. In 2007 IEEE Wireless Communications and Networking Conference, WCNC 2007 (pp. 1140-1144). [4204392] (IEEE Wireless Communications and Networking Conference, WCNC). https://doi.org/10.1109/WCNC.2007.216