Skip to main content
Log in

A nonbinary LDPC-coded four-dimensional rotated QAM constellation scheme in Rayleigh fading channel

  • Original Paper
  • Published:
Signal, Image and Video Processing Aims and scope Submit manuscript

Abstract

In this paper, a nonbinary (NB) LDPC-coded four-dimensional (4-D) rotated quadrature amplitude modulation (QAM) constellation scheme in Rayleigh fading channel is proposed. The optimal rotated angle of 16QAM constellation is obtained by exhaustive search. Compared with the conventional 16QAM constellation without rotation in Rayleigh fading channel, the proposed 4-D rotated 16QAM constellation scheme can obtain diversity gain. When spectral efficiency (SE) is 3.20 bits/s/Hz, compared with the regular 16QAM constellation system, the proposed 4-D rotated 16QAM constellation scheme can obtain 1.00 dB theoretical gain, while the simulated error performance gain of the proposed GF(256) LDPC-coded 4-D rotated 16QAM constellation scheme is 1.08 dB. When SE is 3.333 bits/s/Hz, compared with the regular 16QAM constellation system, the proposed 4-D rotated 16QAM constellation scheme can get 1.28 dB theoretical gain, while the simulated error performance gain of the proposed GF(256) LDPC-coded 4-D rotated 16QAM constellation scheme is 1.28 dB. Both the theoretical average mutual information analysis and simulated error performance show that the proposed scheme is efficient and reliable, which is suitable for the future ultra-high-reliable communications.

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

Similar content being viewed by others

Data availability

The data used or analysed during the current study are available from the corresponding author on reasonable request.

References

  1. Popovski, P., et al.: A perspective on time toward wireless 6G. Proc. IEEE 110(8), 1116–1146 (2022)

    Article  Google Scholar 

  2. You, L., Xiong, J., Ng, D.W.K., Yuen, C., Wang, W., Gao, X.: Energy efficiency and spectral efficiency tradeoff in RIS-aided multiuser MIMO uplink transmission. IEEE Trans. Signal Process. 69, 1407–1421 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  3. Chen, S., Liang, Y., Sun, S., Kang, S., Cheng, W., Peng, M.: Vision, requirements, and technology trend of 6G: how to tackle the challenges of system coverage, capacity, user data-rate and movement speed. IEEE Wirel. Commun. 27(2), 218–228 (2020)

    Article  Google Scholar 

  4. Forney, G., Gallager, R., Lang, G., Longstaff, F., Qureshi, S.: Efficient modulation for band-limited channels. IEEE J. Sel. Areas Commun. 2(5), 632–647 (1984)

    Article  Google Scholar 

  5. Boutros, J., Viterbo, E.: Signal space diversity: a power- and bandwidth-efficient diversity technique for the Rayleigh fading channel. IEEE Trans. Inf. Theory 44(4), 1453–1467 (1998)

    Article  MathSciNet  Google Scholar 

  6. Herath, S.P., Tran, N.H., Le-Ngoc, T.: Rotated multi-D constellations in Rayleigh fading: mutual information improvement and pragmatic approach for near-capacity performance in high-rate regions. IEEE Trans. Commun. 60(12), 3694–3704 (2012)

    Article  Google Scholar 

  7. Barrueco, J., Montalban, J., Iradier, E., Angueira, P.: Constellation design for future communication systems: a comprehensive survey. IEEE Access 9, 89778–89797 (2021)

    Article  Google Scholar 

  8. Yao, Y., Xiao, K., Xia, B., Gu, Q.: Design and analysis of rotated-QAM based probabilistic shaping scheme for Rayleigh fading channels. IEEE Trans. Wirel. Commun. 19(5), 3047–3063 (2020)

    Article  Google Scholar 

  9. Rebhi, M., Hassan, K., Raoof, K., Chargé, P.: Sparse code multiple access: potentials and challenges. IEEE Open J. Commun. Soc. 2, 1205–1238 (2021)

    Article  Google Scholar 

  10. Davey, M.C., MacKay, D.: Low-density parity check codes over GF(q). IEEE Commun. Lett. 2(6), 165–167 (1998)

    Article  Google Scholar 

  11. Voicila, A., Declercq, D., Verdier, F., Fossorier, M., Urard, P.: Low-complexity decoding for non-binary LDPC codes in high order fields. IEEE Trans. Commun. 58(5), 1365–1375 (2010)

    Article  Google Scholar 

  12. Chen, P., Shi, L., Liew, S.C., Fang, Y., Cai, K.: Channel decoding for nonbinary physical-layer network coding in two-way relay systems. IEEE Trans. Veh. Technol. 68(1), 628–640 (2019)

    Article  Google Scholar 

  13. Chen, P., Shi, L., Fang, Y., Lau, F.C.M., Cheng, J.: Rate-diverse multiple access over Gaussian channels. IEEE Trans. Wirel. Commun. 22(8), 5399–5413 (2023)

  14. Xie, Q., Song, J., Peng, K., Yang, F., Wang, Z.: Coded modulation with signal space diversity. IEEE Trans. Wirel. Commun. 10(2), 660–669 (2011)

    Article  Google Scholar 

  15. Caire, G., Taricco, G., Biglieri, E.: Bit-interleaved coded modulation. IEEE Trans. Inf. Theory 44(3), 927–946 (1998)

    Article  MathSciNet  Google Scholar 

Download references

Funding

This work was supported by Fundamental Research Program of Shanxi Province (202203021212159, 20210302123208).

Author information

Authors and Affiliations

Authors

Contributions

Weimin Kang wrote the main manuscript and prepared all the work and reviewed the manuscript.

Corresponding author

Correspondence to Weimin Kang.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Ethical approval

Not applicable.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kang, W. A nonbinary LDPC-coded four-dimensional rotated QAM constellation scheme in Rayleigh fading channel. SIViP 18, 2059–2063 (2024). https://doi.org/10.1007/s11760-023-02841-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11760-023-02841-3

Keywords

Navigation