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Optimum Beamforming Vector Indexing Scheme for Codebook based MISO System over Feedback Error Channel  

Lee, Jin-Hee (고려대학교 전자컴퓨터학과)
Ko, Young-Chai (고려대학교 전기전자학과)
Abstract
Transmit beamforming is simple method to achieve the full diversity gain that is available in multiple antenna(MIMO) wireless systems. Unfortunately, the prior condition to achieve this gain requires perfect channel knowledge at both transmitter and receiver, which is impractical on account of limited feedback link. Therefore, for the practical system, codebook based feedback scheme is often employed, where the beamforming vector is selected from the codebook to maximize the output signal-to-noise ratio (SNR) at receiver, and the receiver only sends back the index of the best beamforming vector to the transmitter. In this paper we derive analytical expression of average bit error rate (BER) for the codebook based transmit beamforming MISO system over the feedback error channel. Using this analytical result, we present optimum codebook indexing scheme to improve the performance of this system. From some selected numerical examples we show that our proposed codebook indexing scheme can provide nonnegligible performance improvements in terms of average BER over the severe feedback error channel.
Keywords
Transmit Beamforming; Multi-input Single-output; Feedback Error Channel; Codebook; Indexing;
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1 T. K. Y. Lo, 'Maximum ratio transmission,' IEEE Trans. Commun., Vol.47, No.10, pp.1458-1461, 1999   DOI   ScienceOn
2 C. H. Tse, K. W. Yip, and T. S. Ng, 'Performance tradeoffs between maximum ratio transmission and switched-transmit diversity,' Proc. 11th IEEE Int. symp. Personal, Indoor and Mobile Radio Communications (PIMRC' 2000), London, UK., pp.1485-1489, September 2000
3 D. J. Love, R. W. H. Jr., W. Santipach, and M. L. Honig, 'What is the value of limited feedback MIMO channels,' IEEE Commun. Mag., Vol.42, pp.54-59, October 2004   DOI   ScienceOn
4 J. D. J. Love, R.W. Heath and T. Strohmer, 'Grassmannian beamforming for multiple-input multiple-output wireless systems.' IEEE Trans. Inf. Theory, Vol.49, No.10, pp.2735-2747, October 2003   DOI   ScienceOn
5 J. W. Craig, 'A new, simple and exact result for calculating the probability of error for two-dimensional signal constellations,' Proc. IEEE Military Communications Conference, pp.25.5.1-25.5.5,, 1991
6 M. Kang and M.-S.Alouini, 'Largest eigenvalue of complex whishart matrices and performance analysis of MIMO MRC system.' IEEE Trans. Commun., Vol.21, No.3, pp.418-426, April 2003
7 R. W. H. Jr. and A. Paulraj, 'A simple scheme for transmit diversity using partial channel feedback.' in Proc. 32nd Annual Asil. Conf. on Sig. Sys. and Comp., Vol.2, pp.1073-1078, 1998
8 C. K. Au-Yeung and D. J. Love, 'A performance analysis framework for limited feedback beamforming in correlated fading,' IEEE Commun. Letters, Vol.10, No.5, pp.344-346, May 2006   DOI   ScienceOn
9 'Asymptotic capacity of beamforming with limited feedback.' in Proc. IEEE Int. Symp. Information Theory, p. 290, 2004
10 A. Narula, M. J. Lopez, M. D. Trott, and G. W. Wornell, 'Efficient use of side information in mulitiple-antenna data transmission over fading channels.' IEEE J. Sel Areas Commun., Vol.16, No.8, pp.1423-1436, October 1998   DOI   ScienceOn
11 K. K. Mukkavilli, A. Sabharwal, E. Erkip, and B. Aazhang, 'On beamforming with finite rate feedback in multiple-antenna systems.' IEEE Trans. Inf. Theory, Vol.49, No.10, pp.2562-2579, October 2003   DOI   ScienceOn
12 W. Santipach and M. L. Honig, 'Asymptotic performance of mimo wireless channels with limited feedback.' in Proc. IEEE Military Communications Conference 2003, Vol.1, pp.141-146, 2003   DOI