Performance of optimal beamforming with partial channel knowledge

Shimi Shilo*, Anthony J. Weiss, Amir Averbuch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Multiple antenna techniques are used to enhance wireless links and therefore have been studied extensively. Many practical systems that differ from ideal schemes have been discussed in the literature. One example is a system that lacks precise channel information at the transmitter. We evaluate analytically the performance of a multiple input multiple output (MIMO) technique that uses partial channel knowledge. Specifically, we analyze a scheme with M transmit antennas and N receive antennas, employing eigenbeamforming at the transmitter and MRC at the receiver. We assume that only partial channel matrix is known to the transmitter, specifically only P out of N rows of the channel matrix are known. We derive the optimal beamformer for a single stream transmission case and show that it is the singular vector of the known channel submatrix. We show that the diversity order of a transmission scheme where such a precoder is used is MP+N-P and further show that increasing the value of P by one increases the diversity order by M-1. We also derive the array gain for this scheme. All the results are supported by simulations.

Original languageEnglish
Article number6059445
Pages (from-to)4035-4040
Number of pages6
JournalIEEE Transactions on Wireless Communications
Issue number12
StatePublished - Dec 2011


FundersFunder number
Institute for Future Technologies Research named for the Medvedi, Shwartzman and Gensler Families
Israel Science Foundation218/08


    • LTE
    • MIMO systems
    • WiMAX
    • beamforming
    • partial channel knowledge


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