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Turbo equalization based on joint Gaussian, SIC-MMSE and LMMSE for nonlinear satellite channels

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Abstract

The nonlinear distortion of wideband signal due to the filtering and efficiently operated high power amplifiers limits the performance of satellite communications. Volterra series can be used to describe the nonlinear satellite channels effectively. Most existing equalizers simply ignore the nonlinear terms or treat all the nonlinear combinations of symbols as interference. In this study, by properly exploiting information from nonlinear terms, we propose three turbo equalizers for nonlinear satellite channels, namely, joint Gaussian (JG), soft interference cancellation-minimum mean square error (SIC-MMSE) and linear minimum mean square error (LMMSE) equalizers. In JG and SIC-MMSE-based equalizers, both the linear and nonlinear terms that contain the symbol of interest are considered as desired signals. Accordingly, the required statistics are calculated based on the a priori probabilities of coded bits from output of channel decoder. For LMMSE-based equalizer, we propose to calculate the extrinsic information from output of equalizer by excluding the prior information in both the linear and nonlinear terms. Simulation results demonstrate that the proposed equalizers significantly outperform the method which ignores the presence of nonlinear interferences. Moreover, the nonlinear terms that contain the symbol of interest can be exploited to further improve the performance of turbo equalization.

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References

  1. Benedetto S, Garello R, Montorsi G, et al. MHOMS: high-speed ACM modem for satellite applications. IEEE Wirel Commun, 2005, 12: 66–77

    Article  Google Scholar 

  2. Casini E, Gaudenzi R D, Ginesi A. DVB-S2 modem algorithms design and performance over typical satellite channels. Int J Satell Commun Netw, 2004, 22: 281–318

    Article  Google Scholar 

  3. Benedetto S, Biglieri E, Daffara R. Modeling and performance evaluation of nonlinear satellite links-a volterra series approach. IEEE Trans Aerosp Electron Syst, 1979, 4: 494–507

    Article  Google Scholar 

  4. Karam G, Sari H. Analysis of predistortion, equalization, and ISI cancellation techniques in digital radio systems with nonlinear transmit amplifiers. IEEE Trans Commun, 1989, 37: 1245–1253

    Article  Google Scholar 

  5. Gutierrez A, Ryan W E. Performance of Volterra and MLSD receivers for nonlinear band-limited satellite systems. IEEE Trans Commun, 2000, 48: 1171–1177

    Article  Google Scholar 

  6. Malone J, Wickert J. Practical Volterra equalizers for wideband satellite communications with TWTA nonlinearities. In: Proceedings of Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop, Sedona, 2011. 48–53

    Google Scholar 

  7. Deleu T, Horlin F, Dervin M. Turbo-equalization of the remaining interference in a pre-distorted non-linear satellite channel. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing, Florence, 2014. 1946–1950

    Google Scholar 

  8. Qian H, Yao S, Huang H, et al. A low-complexity digital predistortion algorithm for power amplifier linearization. IEEE Trans Broadcast, 2014, 60: 670–678

    Article  Google Scholar 

  9. Chen S, Tan S, Xu L, et al. Adaptive minimum error-rate filtering design: a review. Signal Process, 2008, 88: 1671–1697

    Article  MATH  Google Scholar 

  10. Cai Y, de Lamare R C. Space-time adaptive MMSE multiuser decision feedback detectors with multiple-feedback interference cancellation for CDMA systems. IEEE Trans Veh Tech, 2009, 58: 4129–4140

    Article  Google Scholar 

  11. Wu J, Zhong J, Cai Y, et al. New detection algorithms based on the jointly Gaussian approach and successive interference cancelation for iterative MIMO systems. Int J Commun Syst, 2014, 27: 1964–1983

    Article  Google Scholar 

  12. Xing C, Ma S, Zhou Y. Matrix-monotonic optimization for MIMO systems. IEEE Trans Signal Process, 2015, 63: 334–348

    Article  MathSciNet  Google Scholar 

  13. Gong C, Xu Z. Channel estimation and signal detection for optical wireless scattering communication with inter-symbol interference. IEEE Trans Wirel Commun, 2015, 14: 5326–5337

    Article  Google Scholar 

  14. Xing C, Gao F, Zhou Y. A framework for transceiver designs for multi-hop communications with covariance shaping constraints. IEEE Trans Signal Process, 2015, 63: 3930–3945

    Article  MathSciNet  Google Scholar 

  15. Zhou W, Zhang S. The decision delay in finite-length MMSE-DFE systems systems. Wirel Pers Commun, 2015, 83: 1–15

    Article  Google Scholar 

  16. Xing C, Ma Y, Zhou Y et al. Transceiver optimization for multi-hop communications with per-antenna power constraints. IEEE Trans Signal Process, 2016, 64: 1519–1534

    Article  MathSciNet  Google Scholar 

  17. Huang G M, Gillin D, Zhou D, et al. An efficient and robust method to determine the optimal tap coefficients of high speed FIR equalizer. Sci China Inf Sci, 2017, 60: 022401

    Article  Google Scholar 

  18. Muller R R, Gerstacker W H. On the capacity loss due to separation of detection and decoding. IEEE Trans Inf Theory, 2004, 50: 1769–1778

    Article  MathSciNet  MATH  Google Scholar 

  19. Douillard C, Jezequel M, Berrou C. Iterative correction of intersymbol interference: turbo equalization. Eur Trans Telecommun, 1995, 6: 507–511

    Article  Google Scholar 

  20. Schlegel C B, Perez L C. Trellis and Turbo Coding: Iterative and Graph-Based Error Control Coding. Hoboken: John Wiley & Sons, 2015

    Book  Google Scholar 

  21. Laot C, Glavieux A, Labat J. Turbo equalization: adaptive equalization and channel decoding jointly optimized. IEEE J Sel Areas Commun, 2001, 19: 1744–1752

    Article  Google Scholar 

  22. Reynolds D, Wang X. Low-complexity turbo-equalization for diversity channels. Signal Process, 2001, 81: 989–995

    Article  MATH  Google Scholar 

  23. Tuchler M, Koetter R, Singer A C. Turbo equalization: principles and new results. IEEE Trans Commun, 2002, 50: 754–767

    Article  Google Scholar 

  24. Zhong W, Lu A A, Gao X Q. MMSE SQRD based SISO detection for coded MIMO-OFDM systems. Sci China Inf Sci, 2014, 57: 042311

    Article  Google Scholar 

  25. Liu L, Leung W, Ping L. Simple iterative chip-by-chip multiuser detection for CDMA systems. In: Proceedings of IEEE Vehicular Technology Conference, Jeju Island, 2003. 2157–2161

    Google Scholar 

  26. Guo Q, Ping L. LMMSE turbo equalization based on factor graphs. IEEE J Sel Areas Commun, 2008, 26: 311–319

    Article  Google Scholar 

  27. Kashif F M, Wymeersch H, Win M Z. Monte carlo equalization for nonlinear dispersive satellite channels. IEEE J Sel Areas Commun, 2008, 26: 245–255

    Article  Google Scholar 

  28. Benedetto S, Biglieri E. Nonlinear equalization of digital satellite channels. IEEE J Sel Areas Commun, 1983, 1: 57–62

    Article  Google Scholar 

  29. Chen Y C, Su Y T. Turbo equalization of nonlinear TDMA satellite signals. IEICE Trans Commun, 2009, 92: 992–997

    Article  Google Scholar 

  30. Burnet C E, Cowley W G. Performance analysis of turbo equalization for nonlinear channels. In: Proceedings of International Symposium on Information Theory, Adelaide, 2005. 2026–2030

    Google Scholar 

  31. Ampeliotis D, Rontogiannis A, Berberidis K et al. Turbo equalization of non-linear satellite channels using soft interference cancellation. Adv Sat Mobile Syst, 2008, 124: 289–292

    Google Scholar 

  32. Benammar B, Thomas N, Poulliat C, et al. On linear MMSE based turbo-equalization of nonlinear volterra channels. In: Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, Vancouver, 2013. 4703–4707

    Google Scholar 

  33. Wang X, Poor H V. Iterative (turbo) soft interference cancellation and decoding for coded CDMA. IEEE Trans Commun, 1999, 47: 1046–1061

    Article  Google Scholar 

  34. Xing C, Ma S, Wu Y C. Robust joint design of linear relay precoder and destination equalizer for dual-hop amplify- and forward MIMO relay systems. IEEE Trans Signal Process, 2010, 58: 2273–2283

    Article  MathSciNet  Google Scholar 

  35. Tuchler M, Singer A C. Turbo equalization: an overview. IEEE Trans Inf Theory, 2011, 57: 920–952

    Article  MathSciNet  MATH  Google Scholar 

  36. Liu L, Ping L. An extending window MMSE turbo equalization algorithm. IEEE Signal Process Lett, 2004, 11: 891–894

    Article  Google Scholar 

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61471037, 61571041).

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Authors and Affiliations

  1. School of Information and Electronics, Beijing Institute of Technology, Beijing, 100081, China

    Zheren Long, Hua Wang, Nan Wu & Jingming Kuang

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  1. Zheren Long
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  2. Hua Wang
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  3. Nan Wu
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  4. Jingming Kuang
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Correspondence to Hua Wang.

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Long, Z., Wang, H., Wu, N. et al. Turbo equalization based on joint Gaussian, SIC-MMSE and LMMSE for nonlinear satellite channels. Sci. China Inf. Sci. 61, 042301 (2018). https://doi.org/10.1007/s11432-016-9056-5

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  • DOI: https://doi.org/10.1007/s11432-016-9056-5

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