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Golden Angle Modulation in Complex Dimension Two

Author

Listed:
  • Kejia Hu

    (School of Electronics and Communication Engineering, Sun Yat-sen University, Shenzhen 518107, China
    School of Mathematical Science, Beihang University, Beijing 100191, China)

  • Hongyi Li

    (School of Mathematical Science, Beihang University, Beijing 100191, China)

  • Di Zhao

    (School of Mathematical Science, Beihang University, Beijing 100191, China)

  • Yuan Jiang

    (School of Electronics and Communication Engineering, Sun Yat-sen University, Shenzhen 518107, China)

Abstract

In this paper, we propose a new geometric-shaping design for golden angle modulation (GAM) based on the complex geometric properties of open symmetrized bidisc, termed Bd-GAM, for future generation wireless communication systems. Inspired from the circular symmetric structure of the GAM, we construct the modulation schemes, Bd-GAM1 and Bd-GAM2. Specifically, we consider MI-optimized probabilistic modulation scheme with the geometrics properties of symmetric bidisc. With minimum SNR and entropy constraint, Bd-GAM1 and Bd-GAM2 can overcome the shaping-loss. Compared with the existed golden angle modulation introduced, the new design improves the mutual information, and the distance between adjacent constellation points.

Suggested Citation

  • Kejia Hu & Hongyi Li & Di Zhao & Yuan Jiang, 2025. "Golden Angle Modulation in Complex Dimension Two," Mathematics, MDPI, vol. 13(3), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:414-:d:1577939
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