Performance Analysis of Random Vector Quantization Limited Feedback Beamforming

Beamforming is a simple technique for guarding against the negative effects of fading in a multiple antenna wireless systems. Unfortunately this technique requires the transmitter to have knowledge of the forward-link channel, which is often not available a priori. One solution is to design the beamforming vector using a limited number of feedback bits sent from the receiver to the transmitter. In limited feedback beamforming, every beamforming vector lies in a codebook known to both the transmitter and receiver. Random vector quantization (RVQ) is a simple approach to codebook design that generates the vectors independently from a uniform distribution on the complex unit sphere. This paper derives important performance metrics for a multiple-input single-output (MISO) RVQ system employing limited feedback beamforming

[1]  A. Goldsmith,et al.  Capacity of Rayleigh fading channels under different adaptive transmission and diversity-combining techniques , 1999, IEEE Transactions on Vehicular Technology.

[2]  Robert W. Heath,et al.  Grassmannian beamforming for multiple-input multiple-output wireless systems , 2003, IEEE Trans. Inf. Theory.

[3]  John G. Proakis,et al.  Digital Communications , 1983 .

[4]  Elza Erkip,et al.  On beamforming with finite rate feedback in multiple-antenna systems , 2003, IEEE Trans. Inf. Theory.

[5]  Michael L. Honig,et al.  Asymptotic capacity of beamforming with limited feedback , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[6]  Robert W. Heath,et al.  Equal gain transmission in multiple-input multiple-output wireless systems , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[7]  Rick S. Blum.  MIMO with limited feedback of channel state information , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[8]  M. Honig,et al.  Asymptotic performance of MIMO wireless channels with limited feedback , 2003, IEEE Military Communications Conference, 2003. MILCOM 2003..

[9]  Gregory W. Wornell,et al.  Efficient use of side information in multiple-antenna data transmission over fading channels , 1998, IEEE J. Sel. Areas Commun..

[10]  B. Rao,et al.  Performance analysis of multiple antenna systems with VQ-based feedback , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

[11]  Vincent K. N. Lau,et al.  On the design of MIMO block-fading channels with feedback-link capacity constraint , 2004, IEEE Transactions on Communications.

[12]  K. B. Oldham,et al.  An Atlas of Functions. , 1988 .

[13]  A. James.  Distributions of Matrix Variates and Latent Roots Derived from Normal Samples , 1964 .

[14]  E. Hansen.  A Table of Series and Products , 1977 .

[15]  G. Giannakis,et al.  Performance Analysis for Transmit-Beamforming with Finite-Rate Feedback , 2004 .

[16]  A. Paulraj,et al.  A simple scheme for transmit diversity using partial channel feedback , 1998, Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No.98CH36284).