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Simple and Accurate Design of Low-Density Parity-Check Codes for Multi-Input Multi-Output Systems

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Abstract

In this paper we design an irregular low-density parity-check (LDPC) code for multiple-input multiple-output (MIMO) systems, using a simple extrinsic information transfer (EXIT) chart method. The MIMO systems considered are the optimal maximum a posteriori probability (MAP) detector and the suboptimal minimum mean square error soft-interference cancellation (MMSE-SIC) detector. The MIMO detector and the LDPC decoder exchange soft information and form a turbo iterative receiver. The EXIT charts are used to obtain the edge degree distribution of the irregular LDPC code which is optimized for the MIMO detector. It is shown that the performance of the designed LDPC code is better than that of conventional LDPC code which was optimized for either the Additive White Gaussian Noise (AWGN) channel or the MIMO channel without an explicit consideration of the given detector structure.

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References

  1. Gallager R. G. (1962) Low-density parity-check codes. IEEE Transactions on Information Theory IT-8: 21–28

    Article  MathSciNet  Google Scholar 

  2. Alamouti S. M. (1999) A simple transmit diversity technique for wireless communication. IEEE Journal on Selected Areas in Communications 47: 217–229

    Google Scholar 

  3. Wolniansky, P. W., Foschini, G. J., Golden, G. D., & Valenzuela, R. A. (1998). V-BLAST: an architecture for realizing very high data rates over the rich-scattering wireless channel. In Proceedings of ISSSE (pp. 295–300). Pisa, Italy, 29 Sept. 2 Oct.

  4. Ten Brink S., Kramer G., Ashikhmin A. (2004) Design of low-density parity-check codes for modulation and detection. IEEE Transactions on Communications 52(4): 670–678

    Article  Google Scholar 

  5. Hou J., Siegel P. H., Milstein L. B. (2005) Design of multi-input multi-output systems based on low-density parity-check codes. IEEE Transactions on Communications 53(4): 601–611

    Article  Google Scholar 

  6. Yue G., Wang X. (2005) Optimization of irregular repeat accumulate codes for MIMO systems with iterative receivers. IEEE Transactions on Wireless Communications, 4(6): 2843–2855

    Article  Google Scholar 

  7. Li, Y. & Xia, X.-G. (2004). On Iterative decoding methods for lattice based space-time coded systems with EXIT chart analyses. In Proceedings of the thirty-eighth asilomar conference, vol. 1, (pp. 881–885).

  8. Ten Brink S., Kramer G. (2003) Design of repeat-accumulate codes for iterative detection and decoding. IEEE Transactions on Signal Processing 51(11): 2764–2773

    Article  MathSciNet  Google Scholar 

  9. Tuchler, M., & Hagenauer, J. (2002). Exit charts of irregular codes, 2002 conference on information sciences and systems. Princetion University.

  10. Ardakani M., Kschischang F.R. (2004) A more accurate one-dimensional analysis and design of irregular LDPC codes. IEEE Transactions on Communications, 52(12): 2106–2114

    Article  Google Scholar 

  11. Telatar I. E. (1999) Capacity of multi-antenna Gaussian channels. European Transactions on Telecommunication 10: 585–595

    Article  Google Scholar 

  12. Hochwald B. M., Ten Brink S. (1999) Achieving near-capacity on a multiple-antenna channel. European Transactions on Telecommunication 10: 585–595

    Article  Google Scholar 

  13. van Zelst, A., van Nee, R., & Awater, G. (2001). Turbo-BLAST and its performance. In Proceedings of vehicular technology conference, vol. 2, (pp. 1282–1286).

  14. Matache, A., Jones, C. & Wesel, R. (2004). Reduced complexity MIMO detectors for LDPC coded systems. In Military communication conference.

  15. Ten Brink S. (1999) Convergence of iterative decoding. Electronics Letters, 35(10): 806–808

    Article  Google Scholar 

  16. IEEE 802.16 Working Group, (2005). Part 16: Air Interface for Fixed and Mobile Broadband Wireless Access Systems, IEEE P802.16e/D9June.

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Authors and Affiliations

  1. School of Electrical Engineering, Korea University, Seoul, Korea

    Jeong Hwan Shin, Kwangseok Noh & Jun Heo

  2. Department of Electronic Engineering, Sogang University, Seoul, Korea

    Wonjin Sung

Authors
  1. Jeong Hwan Shin
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  2. Kwangseok Noh
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  3. Wonjin Sung
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  4. Jun Heo
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Correspondence to Jun Heo.

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Shin, J.H., Noh, K., Sung, W. et al. Simple and Accurate Design of Low-Density Parity-Check Codes for Multi-Input Multi-Output Systems. Wireless Pers Commun 62, 923–936 (2012). https://doi.org/10.1007/s11277-010-0101-x

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  • DOI: https://doi.org/10.1007/s11277-010-0101-x

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