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An Expression for the Average Quantization Error

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Abstract

The quantization error for MIMO (multiple-input multiple-output) downlink channels is known to be the minimum of independent and identically distributed beta random variables. In this note, an exact expression is derived for the average quantization error. Computational issues relating to its correctness, usage and approximations are discussed.

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References

  1. Au-Yeung C., Love D.J. (2007) On the performance of random vector quantization limited feedback beamforming in a MISO system. IEEE Transactions on Wireless Communications 6: 458–462

    Article  Google Scholar 

  2. Jindal N. (2006) MIMO broadcast channels with finite rate feedback. IEEE Transactions on Information Theory 52: 5045–5059

    Article  MathSciNet  Google Scholar 

  3. Jindal, N. (2006). A feedback reduction technique for MIMO broadcast channels. In Proceedings of the IEEE International Symposium on Information Theory, pp. 2699–2703, 2006 July.

  4. Jindal, N. (2008). Antenna combining for the MIMO downlink channel. IEEE Transactions on Wireless Communications (to appear).

  5. van Zwet, W. R. (1964). Convex transformations of random variables. Mathematical Center Tracts, volume 7. Amsterdam: Mathematisch Centrum.

  6. Exton H. (1978) Handbook of hypergeometric integrals: theory, applications, tables, computer programs. Halsted Press, New York

    MATH  Google Scholar 

  7. Arnold B.C., Balakrishnan N., Nagaraja H.N. (1992) A first course in order statistics. Wiley, New York

    MATH  Google Scholar 

  8. David H.A., Nagaraja H.N. (2003) Order Statistics (3rd ed). Wiley, New York

    MATH  Google Scholar 

  9. Gupta A.K., Nadarajah S. (2004) Handbook of Beta Distribution and its applications. Marcel Dekker, New York

    MATH  Google Scholar 

  10. Prudnikov A.P., Brychkov Y.A. Marichev O.I. (1986) Integrals and series (Vol 1). Gordon and Breach Science Publishers, Amsterdam

    MATH  Google Scholar 

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Authors and Affiliations

  1. University of Manchester, Manchester, M13 9PL, UK

    Saralees Nadarajah

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  1. Saralees Nadarajah
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Correspondence to Saralees Nadarajah.

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Nadarajah, S. An Expression for the Average Quantization Error. Wireless Pers Commun 49, 575–585 (2009). https://doi.org/10.1007/s11277-008-9578-y

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  • DOI: https://doi.org/10.1007/s11277-008-9578-y

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