Design and analysis of transmit-beamforming based on limited-rate feedback

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37 Scopus citations


We deal with design and performance analysis of transmit-beamformers for multi-input multi-output (MIMO) systems based on bandwidth-limited information that is fed back from the receiver to the transmitter. By casting the design of transmit-beamforming based on limited-rate feedback as an equivalent sphere vector quantization (SVQ) problem, we first consider multi-antenna beamformed transmissions through independent and identically distributed (i.i.d.) Rayleigh fading channels. We upper-bound the rate distortion function of the vector source, and also lower-bound the operational rate distortion performance achieved by the generalized Lloyd's algorithm. A simple and valuable relationship emerges between the theoretical distortion limit and the achievable performance, and the average signal to noise ratio (SNR) performance is accurately quantified. Finally, we study beamformer codebook designs for correlated Rayleigh fading channels, and derive a low-complexity codebook design that achieves near optimal performance.

Original languageEnglish (US)
Pages (from-to)1653-1657
Number of pages5
JournalIEEE Vehicular Technology Conference
Issue number3
StatePublished - 2004
Event2004 IEEE 60th Vehicular Technology Conference, VTC2004-Fall: Wireless Technologies for Global Security - Los Angeles, CA, United States
Duration: Sep 26 2004Sep 29 2004


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