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Performance of MIMO Space-Time Coding with Discrete Modulations

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Information, Coding and Mathematics

Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 687))

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Abstract

We consider the maximum-likelihood (ML) decoding performance of concatenated space-time (ST) random coded communication utilizing multiple input and multiple output (MIMO) antennas on quasi-static fading channels. The ensemble-averaged frame error rates of such systems can be upper bounded by the outage probabilities of the corresponding conditional cutoff rates. We refer to these as the information cutoff probabilities and evaluate them numerically for a wide range of ST coding schemes. The slope behaviors of these cutoff probabilities are found to be consistent with the maximum achievable diversity orders given by a new unified bound. With simulations of a class of ST coding schemes based on bit-interleaved coded modulations and iterative spatial/temporal decoders, we further show these cutoff probabilities can provide accurate predictions of total performance gains. We then present numerical results of the p% cutoff capacities, which are defined as the highest supportable rates for target cutoff probabilities at p%. Our discussion show how this new notion can provide a unified view of all the three main theoretic results of MIMO space-time coding: rate enhancements, achievable diversity gains, and performance of specific codes. As a result, this analysis of cutoff capacities reveals the relative strengths and weaknesses of several space-time coding schemes in interesting and surprising ways.

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References

  1. S. V. Alamouti, “A Simple Transmit Diversity Technique for Wireless Communications,” IEEE J. Sel. Areas Commun., vol. 16, no. 8, pp. 14511458, Oct. 1998.

    Google Scholar 

  2. L. R. Bahl, J. Cocke, F. Jelinek, and J. Raviv, “Optimal Decoding of Linear Codes for Minimizing Symbol Error Rate,” IEEE Trans. Infor. Theory, Mar. 1974.

    Google Scholar 

  3. J.-F. Cheng, “Performance of MIMO Space-Time Coded Discrete Modulations — Part I: Introduction and Flat Fading Channels,” and “Part II: Extensions and Frequency-Selective Fading Channels,” preprint.

    Google Scholar 

  4. G. J. Foschini, “Layered Space-Time Architecture for Wireless Communication in Fading Environments When Using Multiple Antennas,” Bell Labs. Technical Journal, vol. 2, Autumn 1996.

    Google Scholar 

  5. G. J. Foschini and M. J. Gans, “On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas,” Wireless Personal Communications, vol. 6, no. 3, pp. 311–335, Mar. 1998.

    Article  Google Scholar 

  6. J.-C. Guey, M. P. Fitz, M. R. Bell, and W.-Y. Kuo, “Signal Design for Transmitter Diversity Wireless Communication Systems over Rayleigh Fading Channels,” IEEE Trans. Commun., vol. 47, no. 4, pp. 527–537, Apr. 1999.

    Article  Google Scholar 

  7. A. R. Hammons, Jr., and H. El Gammal, “On the Theory of Space-Time Codes for PSK Modulation,” IEEE Trans. Infor. Theory, vol. 46, no. 2, pp. 524–542, Mar. 2000.

    MathSciNet  MATH  Google Scholar 

  8. R. Knopp and P. A. Humblet, “On Coding for Block Fading Channels,” IEEE Trans. Information Theory, vol. 46, no. 1, pp. 189–205, Jan. 2000.

    Article  MATH  Google Scholar 

  9. D. J. C. MacKay, R. J. McEliece, and J.-F. Cheng, “Turbo decoding as an instance of Pearl’s `belief propagation’ algorithm,” IEEE J. Sel. Areas Commun., vol. 16, pp. 140–152, Feb. 1998.

    Article  Google Scholar 

  10. E. Malkamäki and H. Leib, “Coded Diversity on Block-Fading Channels,” IEEE Trans. Information Theory, vol. 45, no. 2, pp. 771–781, Mar. 1999.

    Article  MATH  Google Scholar 

  11. L. H. Ozarow, S. Shamai, and A. D. Wyner, “Information Theoretic Considerations for Cellular Mobile Radio,” IEEE Trans. on Vehicular Tech., vol. 43, no. 5, pp. 359–378, May 1994.

    Article  Google Scholar 

  12. V. Tarokh, N. Seshadri, and A. R. Calderbank, “Space-Time Codes for High Data Rate Wireless Communication: Performance Criterion and Code Construction,” IEEE Trans. Infor. Theory, vol. 44, no. 2, Mar. 1998.

    Google Scholar 

  13. V. Tarokh, H. Jafarkhani, and A. R. Calderbank, “Space-Time Block Codes from Orthogonal Designs,” IEEE Trans. Infor. Theory, vol. 45, no. 5, July 1999.

    Google Scholar 

  14. E. Teletar, “Capacity of Multi-antenna Gaussian Channels,” European Trans. on Telecom, vol. 10, no. 6, pp. 585–596, Nov.—Dec. 1996.

    Google Scholar 

  15. A. J. Viterbi and J. K. Omura, Principles of Digital Communication and Coding, McGraw-Hill, 1979.

    Google Scholar 

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Cheng, JF.(. (2002). Performance of MIMO Space-Time Coding with Discrete Modulations. In: Blaum, M., Farrell, P.G., van Tilborg, H.C.A. (eds) Information, Coding and Mathematics. The Springer International Series in Engineering and Computer Science, vol 687. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3585-7_11

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  • DOI: https://doi.org/10.1007/978-1-4757-3585-7_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5289-9

  • Online ISBN: 978-1-4757-3585-7

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