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Signal Constellations with Enhanced Energy Efficiency for High-Speed Communication Systems

Mark Bykhovskiy

Abstract

This paper proposes a new method for constructing multidimensional signal constellations (SC), referred to as SCOPT, for high-speed communication systems with enhanced energy efficiency (EE). In contrast to conventional approaches, the proposed method increases the minimum Euclidean distance (MED) between signals by increasing the normalized signal duration, without relying on coding or increasing transmit power. Analytical expressions for the demodulation error probability and the energy loss relative to the Shannon limit are derived. It is shown that, unlike classical Shannon-type constellations (SCSH), SCOPT enable reliable communication regimes in which the required signal-to-noise ratio may fall below the conventional Shannon limit within the adopted geometric framework. The proposed constellations retain a simple structure compatible with standard modulation schemes such as QAM and APSK,making them suitable for practical implementation in modern communication systems. Numerical analysis demonstrates that SCOPT significantly outperform SCSH in terms of energy efficiency while requiring substantially shorter signal duration.

Signal Constellations with Enhanced Energy Efficiency for High-Speed Communication Systems

Abstract

This paper proposes a new method for constructing multidimensional signal constellations (SC), referred to as SCOPT, for high-speed communication systems with enhanced energy efficiency (EE). In contrast to conventional approaches, the proposed method increases the minimum Euclidean distance (MED) between signals by increasing the normalized signal duration, without relying on coding or increasing transmit power. Analytical expressions for the demodulation error probability and the energy loss relative to the Shannon limit are derived. It is shown that, unlike classical Shannon-type constellations (SCSH), SCOPT enable reliable communication regimes in which the required signal-to-noise ratio may fall below the conventional Shannon limit within the adopted geometric framework. The proposed constellations retain a simple structure compatible with standard modulation schemes such as QAM and APSK,making them suitable for practical implementation in modern communication systems. Numerical analysis demonstrates that SCOPT significantly outperform SCSH in terms of energy efficiency while requiring substantially shorter signal duration.

Paper Structure

This paper contains 6 sections, 1 theorem, 14 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Methods for Constructing Signal Constellations
  3. Probability of Error for SCSH
  4. Probability of Error for SCOPT
  5. Comparison of Communication Systems Using SCSH and SCOPT
  6. Conclusion

Key Result

Theorem 1

In communication systems employing SCOPT, the error probability $P_{\mathrm{dem}}(\rho_s,R_f,n)$, which determines the reliability of message reception, decreases monotonically with increasing normalized signal duration $n$ for any value of the signal-to-noise ratio $\rho_s$ at the receiver input an

Figures (1)

  • Figure 1: Dependences of $P_{\mathrm{dem}}(\rho_s,R_f,n)$ on $\rho_s$ for SCSH and SCOPT.

Theorems & Definitions (1)

  • Theorem 1