Performance of optimal beamforming with partial channel knowledge in correlated fading

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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 maximal ratio combining (MRC) at the receiver, where the receiver antennas experience correlated fading. 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. In addition, the transmitter is endowed with knowledge of the receive channel correlations. We derive the optimal beamformer for a single stream transmission case and show that it is the principal eigenvector of the known channel submatrix and the expected value of the unknown channel submatrix given the known channel. We show that the diversity order of a transmission scheme where such a preceder is used is MPP 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. We further show that, as expected, the effect of the correlation is only an array gain reduction. All the results are supported by simulations.

Original languageEnglish
Title of host publication2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
DOIs
StatePublished - 2012
Event2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 - Eilat, Israel
Duration: 14 Nov 201217 Nov 2012

Publication series

Name2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

Conference

Conference2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
Country/TerritoryIsrael
CityEilat
Period14/11/1217/11/12

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