Performance analysis of RVQ-based limited feedback beamforming codebooks

Vasanthan Raghavan, Michael L. Honig, Venugopal V. Veeravalli

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

13 Scopus citations


Codebooks based on Random Vector Quantization (RVQ) are popular in limited feedback beamforming applications over MIMO channels because of their low-complexity design properties. The goal of this work is on understanding the performance of an ensemble of RVQ codebooks as a function of the number of bits of feedback (B), antenna dimensions, and spatial correlation. We analyze the case of correlated MIMO channels and arbitrary choice of B. Towards this goal, we first study the distribution function of weighted norms of isotropically distributed beamforming vectors. From this, we compute the received SNR loss and mutual information loss of a B-bit RVQ scheme relative to a perfect channel information benchmark. Our computation reveals the following: i) The loss terms are a product of two factors. The first factor, which is also common to analysis of i.i.d, channels, decays as B increases at the rate 2-B/(Nt-1) where Nt is the number of transmit antennas; ii) The second factor reflects the condition number of the channel. A channel that minimizes/maximizes the condition number on average also minimizes/maximizes the performance loss, respectively. Such behavior is typical of channels that correspond to rich (i.i.d.) spatial scattering, and poor (rank-l channels) spatial scattering, respectively.

Original languageEnglish (US)
Title of host publication2009 IEEE International Symposium on Information Theory, ISIT 2009
Number of pages5
StatePublished - Nov 19 2009
Event2009 IEEE International Symposium on Information Theory, ISIT 2009 - Seoul, Korea, Republic of
Duration: Jun 28 2009Jul 3 2009

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8102


Other2009 IEEE International Symposium on Information Theory, ISIT 2009
Country/TerritoryKorea, Republic of

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Modeling and Simulation
  • Applied Mathematics


Dive into the research topics of 'Performance analysis of RVQ-based limited feedback beamforming codebooks'. Together they form a unique fingerprint.

Cite this