Skip to main content
Log in

Iterative multiuser detector-decoding for nonbinary LDPC coded multicarrier MFSK systems

  • Published:
Telecommunication Systems Aims and scope Submit manuscript

Abstract

This paper investigates an iterative multiuser detection for nonbinary low density parity check (LDPC) coded multicarrier multiple level frequency shift keying system to increase system performance under specific signal-to-noise ratio and data rate. We propose three-level hard-limited detection probabilities over both additive white Gaussian noise (AWGN) channels and Rayleigh fading channels. During multiuser detection (MUD) process, the hard-limited detection probabilities are computed in advanced and stored in tables. By using table looking up, the MUD soft outputs can be computed efficiently. We test the reliability of soft outputs from nonbinary LDPC channel decoder for all users. If the soft output exceeds a reliability threshold, the user is declared as a reliable user. For each symbol, we count the number of reliable users on it, and, use this information to update the soft output of MUD during the iterative multiuser detection and decoding process, which cancel multiple access interference iteratively. Numerical results show that the performances of three-level hard-limited systems outperform two-level hard-limited systems over AWGN channels and Rayleigh fading channels.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Goodman, D. J., Henry, P. S., & Prabhu, V. K. (1980). Frequency-hopped multilevel FSK for mobile radio. Bell System Technical Journal, 59(7), 1257–1275.

    Article  Google Scholar 

  2. Einarsson, G. (1980). Address assignment for a time- Frequency-coded spread-spectrum system. Bell System Technical Journal, 59(7), 1241–1255.

    Article  Google Scholar 

  3. Timor, U. (1981). Multistage decoding of frequency-hopped FSK system. Bell System Technical Journal, 60(4), 471–483.

    Article  Google Scholar 

  4. Mabuchi, T., Kohno, R., & Imai, H. (1994). Multiuser detection scheme based on cancelling cochannel interference for MFSK/FH-SSMA system. IEEE Journal on Selected Areas in Communications, 12(4), 593–604.

    Article  Google Scholar 

  5. Fiebig, U. (1996). An algorithm for joint detection in fast frequency systems. IEICE Transactions on Fundamentals, Special Section on Spread Spectrum Techniques and Applications, E79-A(12), 2010–2017.

    Google Scholar 

  6. Fiebig, U. (1996). Iterative interference cancellation for FFH/MFSK systems. IEE Proceedings Communications, 143(6), 380–388.

    Article  Google Scholar 

  7. Halford, K. W., & Brandt-Pearce, M. (2000). Multi-stage multi-user detection for FHMA. IEEE Transactions on Communications, 48(9), 1550–1562.

    Article  Google Scholar 

  8. Fiebig, U. C., & Robertson, P. (1999). Soft-decision and erasure decoding in fast frequency-hopping systems with convolutional, turbo, and Reed-Solomon codes’. IEEE Transactions on Communications, 47(11), 1646–1654.

    Article  Google Scholar 

  9. Hong, S., Seol, C. U., & Cheun, K. (2011). Performance of soft decision decoded synchronous FHSS multiple access networks using MFSK modulation under Rayleigh fading. IEEE Transactions on Communications, 59(4), 1066–1077.

    Article  Google Scholar 

  10. Hung, C. P., & Su, Y. T. (1995). Diversity combining considerations for incoherent frequency hopping multiple access systems. IEEE Journal on Selected Areas in Communications, 13, 333–344.

    Article  Google Scholar 

  11. Sinha, R., & Yates, R. D. An OFDM based multicarrier MFSK system. In Proceedings of the IEEE-VTS Fall VTC 2000 (Vol. 1, pp. 257–264).

  12. Sinha, R., & Yates, R. D. Performance of multicarrier MFSK in fading channels. In Proceedings of the IEEE-VTS Fall VTC 2000 (Vol. 3, pp. 1848–1851).

  13. Sinha, R., Yener, A., & Yates, R. D. (2002). Noncoherent multiuser communications: Multistage detection and selective filtering. EURASIP Journal on Applied Signal Processing, 2002(12), 1415–1426.

    Google Scholar 

  14. Yu, Z., Tjhung, T. T., & Chai, C. C. (2004). Multiuser detection algorithm based on iterative interference cancellation for MC-MFSK systems. In IEEE PIMRC (pp. 2915–2999).

  15. Yu, Z., Tjhung, T. T., & Chai, C. C. (2004). Performance of MC-MFSK systems with IIC-based multiuser detection over Rayleigh fading channels. In IEEE Globecom (pp. 893–897).

  16. Yu, Z., Tjhung, T. T., & Chai, C. C. (2005). Performance of multiple access multicarrier MFSK system over Rician fading channels. IEEE Transactions on Vehicular Technology, 54(3), 1091–1102.

    Article  Google Scholar 

  17. Nguye, T. T., Nguyen, H. H., & Le-Ngoc, T. (2014). Iterative interference cancellation in multiuser relaying with fast frequency-hopping modulation. IET Communications, 8(15), 2693–2705.

    Article  Google Scholar 

  18. Caire, G., Taricco, G., & Biglien, E. (1998). Bit-interleaved coded modulation. IEEE Transactions on Information Theory, 44(3), 927–946.

    Article  Google Scholar 

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

    Article  Google Scholar 

  20. MacKay, D. J. C., & Neal, R. M. (1996). Near Shannon limit performance of low-density parity-check codes. Electronics Letters, 32, 1645–1646.

    Article  Google Scholar 

  21. Davey, M. C., & Mackey, D. (1998). Low density parity check code over GF(q). IEEE Communications Letters, 2(6), 165–167.

    Article  Google Scholar 

  22. Chung, S. Y., Forney, G. D., Richardson, T., & Urbanke, R. (2001). On the design of low-density parity-check codes within 0.0045 dB of the Shannon limit. IEEE Communications Letters, 5, 58–60.

    Article  Google Scholar 

  23. Declercq, David, & Fossorier, Marc. (2007). Decoding algorithms for nonbinary LDPC codes over GF(q). IEEE Transactions on Communications, 55(4), 633–643.

    Article  Google Scholar 

  24. Durgin, G. D., Rappaport, T. S., & de Wolf, D. A. (2002). New analytical models and probability density functions for fading in wireless communications. IEEE Transactions on Communications, 50(6), 1005–1015.

    Article  Google Scholar 

  25. Abdi, A., Hashemi, H., & Nader-Esfahani, S. (2000). On the PDF of the sum of random vectors. IEEE Transactions on Communications, 48(1), 7–12.

    Article  Google Scholar 

  26. Bird, J. S., & George, D. A. (1981). The use of the Fourier-Bessel series in calculating error probabilities for digital communications systems. IEEE Transactions on Communications, COM-29, 1357–1365.

    Article  Google Scholar 

  27. Gradshteyn, I. S., & Ryzhik, I. M. (1980). Table of integrals, series, and products. New York: Academic.

    Google Scholar 

  28. Hu, X.-Y., Eleftheriou, E., & Amold, D. M. (2005). Regular and irregular progress edge-growth tanner graphs. IEEE Transactions on Information Theory, 51(1), 386–398.

    Article  Google Scholar 

  29. Choi, K., & Cheun, K. (2006). Optimum parameters for maximum throughput of FHMA system with multilevel FSK. IEEE Transactions on Vehicular Technology, 55(5), 1485–1492.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Her-Chang Tsai.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tsai, HC. Iterative multiuser detector-decoding for nonbinary LDPC coded multicarrier MFSK systems. Telecommun Syst 70, 309–320 (2019). https://doi.org/10.1007/s11235-018-0520-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11235-018-0520-7

Keywords

Navigation