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

作者：Xia PF^*; Giannakis GB

来源：IEEE Transactions on Signal Processing, 2006, 54(5): 1853-1863.

DOI：10.1109/TSP.2006.871967

• Beamforming
• generalized Lloyd algorithm
• Grassmannian line packing
• limited rate feedback
• multiple-input multiple-output (MIMO)
• partial channel state information
• rate-distortion function
• vector quantization
• Welch bound

This paper deals with design and performance analysis of transmit beamformers for multiple-input multiple-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, multiantenna beamformed transmissions through independent and identically distributed (i.i.d.) Rayleigh fading channels are first considered. The rate-distortion function of the vector source is upper-bounded, and the operational rate-distortion performance achieved by the generalized Lloyd's algorithm is lower-bounded. Although different in nature, the two bounds yield asymptotically equivalent performance analysis results. The average signal-to-noise ratio (SNR) performance is also quantified. Finally, beamformer codebook designs are studied for correlated Rayleigh fading channels, and a low-complexity codebook design that achieves near-optimal performance is derived.

• 出版日期2006-5