Golden Angle Modulation in Complex Dimension Two

Kejia Hu, Hongyi Li (), Di Zhao and Yuan Jiang
Additional contact information
Kejia Hu: School of Electronics and Communication Engineering, Sun Yat-sen University, Shenzhen 518107, 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

Mathematics, 2025, vol. 13, issue 3, 1-15

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.

Keywords: Shannon-Hartley theorem; mutual information; symmetric bidisc; golden modulation; geometric shaping; pseudoconvex domain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/3/414/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/3/414/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:3:p:414-:d:1577939

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().