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Upper Bounds on Overloaded LDPC–Optimum Combinied System Over Rayleigh Fading Channel

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Abstract

In this paper a closed form expression for the bit error rate of LDPC–OC system in the presence of interferers is derived over an i.i.d Rayleigh fading channel using message passing algorithm. All interferers are assumed to have equal power. The analysis is done for the case when the number of interferes is more than the number of receive antenna elements. In this paper, analytical results showed that for a BER of 10−2, the LDPC–OC system provides an additional gain of 6.3 dB over OC system alone. Both the systems provide identical diversity gain of 1.2 dB when the number of receive antennas are increased from 5 to 6.

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References

  1. Gallager, R. G. (1962). Low-density parity-check codes. IRE Transactions on Information Theory, 21(1), 21–28.

    Article  MathSciNet  Google Scholar 

  2. MacKay, D. J. C. (1999). Comparison of constructions of irregular Gallager codes. IEEE Transactions on Communication, 47(10), 1449–1451.

    Article  MathSciNet  Google Scholar 

  3. Winters, J. H. (1984). Optimum combining in digital mobile radio with co-channel interference. IEEE Journal on Selected Areas in Communication, 2(4), 528–539.

    Article  Google Scholar 

  4. Shah, A., & Haimovich, A. M. (1998). Performance analysis of optimum combining in wireless communications with Rayleigh fading and co-channel interference. IEEE Transactions on Communications, 46(4), 473–479.

    Article  Google Scholar 

  5. Villier, Eric. (1999). Performance analysis of optimum combining with multiple interferers in flat Rayleigh fading. IEEE Communication Letters, 47(10), 503–1510.

    Google Scholar 

  6. Yongpeng, W. U., et al. (2010). New performance results for optimum combining in presence of arbitrary-power interferers and thermal noise. IEICE Transactions on Communications, 93(7), 1919–1922.

    Google Scholar 

  7. Gounai, S., Ohtsuki, T., (2006). Performance analysis of LDPC code with spatial diversity. IEEE 64th Vehicular Technology conference, 1–5.

  8. Sharma, Surbhi, & Khanna, R. (2009). Analysis of LDPC with optimum combining. International Journal of Electronics, 96(8), 803–811.

    Article  Google Scholar 

  9. Richardson, T. J., Shokrollahi, M. A., & Urbanke, R. L. (2001). Design of capacity-approaching irregular low-density parity-check codes. IEEE transactions on Information Theory, 47(2), 619–637.

    Article  MathSciNet  MATH  Google Scholar 

  10. Brink, S. T. (2001). Convergence behavior of iteratively decoded parallel concatenated codes. IEEE Transactions on Communications, 49(10), 1727–1737.

    Article  MATH  Google Scholar 

  11. Hou, J., Siegel, P. H., & Milstein, L. B. (2001). Performance analysis and code optimization of low density parity-check codes on Rayleigh fading channels. IEEE Journal on Selected Areas in Communication, 19(5), 924–934.

    Article  Google Scholar 

  12. Lehmann, F., & Maggio, G. M. (2003). Analysis of the iterative decoding of LDPC and product codes using the Gaussian approximation. IEEE Transactions on Information Theory, 49(11), 2993–3000.

    Article  MathSciNet  MATH  Google Scholar 

  13. Gradshteyn, S., & Ryzhik, M. (2007). Tables of integrals, series and products (pp. 337–340). New York: Academic Press.

    Google Scholar 

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Acknowledgments

This study is supported by UGC and AICTE India vide letter no 31-1(pun)/sr-2008 TU and letter number 8023/BOR/RID/RPS-105/2008-2009.

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Correspondence to Surbhi Sharma.

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Sharma, S., Khanna, R. Upper Bounds on Overloaded LDPC–Optimum Combinied System Over Rayleigh Fading Channel. Wireless Pers Commun 83, 1331–1339 (2015). https://doi.org/10.1007/s11277-015-2452-9

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