Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

On the Design of Super Constellations

Thrassos K. Oikonomou, Dimitrios Tyrovolas, Sotiris A. Tegos, Panagiotis D. Diamantoulakis, Panagiotis Sarigiannidis, George K. Karagiannidis

TL;DR

The theoretical performance of SAPSK and the efficiency of the proposed proposed <inline-formula> <tex-math notation="LaTeX">$\mathcal {O}(1)$ </tex-math></inline-formula> algorithm are validated by numerical simulations, highlighting both its superiority in terms of SEP compared to various constellations and its practical advantages in terms of fast and accurate symbol detection.

Abstract

In the evolving landscape of sixth-generation (6G) wireless networks, which demand ultra high data rates, this study introduces the concept of super constellation communications. Also, we present super amplitude phase shift keying (SAPSK), an innovative modulation technique designed to achieve these ultra high data rate demands. SAPSK is complemented by the generalized polar distance detector (GPD-D), which approximates the optimal maximum likelihood detector in channels with Gaussian phase noise (GPN). By leveraging the decision regions formulated by GPD-D, a tight closed-form approximation for the symbol error probability (SEP) of SAPSK constellations is derived, while a detection algorithm with O(1) time complexity is developed to ensure fast and efficient SAPSK symbol detection. Finally, the theoretical performance of SAPSK and the efficiency of the proposed O(1) algorithm are validated by numerical simulations, highlighting both its superiority in terms of SEP compared to various constellations and its practical advantages in terms of fast and accurate symbol detection.

On the Design of Super Constellations

TL;DR

The theoretical performance of SAPSK and the efficiency of the proposed proposed <inline-formula> <tex-math notation="LaTeX"> </tex-math></inline-formula> algorithm are validated by numerical simulations, highlighting both its superiority in terms of SEP compared to various constellations and its practical advantages in terms of fast and accurate symbol detection.

Abstract

In the evolving landscape of sixth-generation (6G) wireless networks, which demand ultra high data rates, this study introduces the concept of super constellation communications. Also, we present super amplitude phase shift keying (SAPSK), an innovative modulation technique designed to achieve these ultra high data rate demands. SAPSK is complemented by the generalized polar distance detector (GPD-D), which approximates the optimal maximum likelihood detector in channels with Gaussian phase noise (GPN). By leveraging the decision regions formulated by GPD-D, a tight closed-form approximation for the symbol error probability (SEP) of SAPSK constellations is derived, while a detection algorithm with O(1) time complexity is developed to ensure fast and efficient SAPSK symbol detection. Finally, the theoretical performance of SAPSK and the efficiency of the proposed O(1) algorithm are validated by numerical simulations, highlighting both its superiority in terms of SEP compared to various constellations and its practical advantages in terms of fast and accurate symbol detection.
Paper Structure (15 sections, 3 theorems, 41 equations, 16 figures, 1 algorithm)

This paper contains 15 sections, 3 theorems, 41 equations, 16 figures, 1 algorithm.

Table of Contents

  1. Introduction
  2. State-of-the-Art
  3. Motivation & Contribution
  4. Structure
  5. System model and Preliminaries
  6. A Novel Modulation Design for super constellation Communication
  7. SAPSK
  8. Low-complexity Detector Design for super-constellation communications in GPN
  9. Error Analysis and Detection in SAPSK
  10. Performance Analysis of SAPSK Constellations
  11. SAPSK Detection Algorithm for practical implementation in super-constellation communications
  12. Numerical Results
  13. Conclusion
  14. Proof of Proposition \ref{['prop:orientation']}
  15. Proof of Proposition \ref{['prop:PTQAM']}

Key Result

Proposition 1

The transmitted symbol $s\in\mathcal{C}$ affected by both AWGN and GPN can be reliably estimated through GPD-D which is a weighted polar Euclidean distance detector, and is expressed as

Figures (16)

  • Figure 1: EUC-D vs GAP-D with PN variance $\sigma^2_{\phi} = 10^{-4}$
  • Figure 2: $32$-QAM in a) IQ plane, b) Polar plane, $32$-PQAM($8$) in c) IQ plane, d) Polar plane and SAPSK($32$,$8$) in e) IQ plane, f) Polar plane
  • Figure 3: Hexagonal decision regions formulated by GPD-D of a SAPSK($32$,$8$) constellation oriented a) along $\rho$ axis, b) along $\theta$ axis
  • Figure 4: Detection scheme
  • Figure 5: $\sigma^2_{\phi}= 10^{-4}$
  • ...and 11 more figures

Theorems & Definitions (8)

  • Definition 1
  • Proposition 1
  • Remark 1
  • Proposition 2
  • Remark 2
  • Proposition 3
  • Remark 3
  • Remark 4