Approaching the Gaussian channel capacity with APSK constellations

2015/03/16 by Hugo Méric, Meric, Hugo
Computer Science · Engineering · #Cellular Automata and Applications #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1503.04752

openalex publication_date 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Gaussian channel with power constraint P. A gap exists between the channel capacity and the highest achievable rate of equiprobable uniformly spaced signal. Several approaches enable to overcome this limitation such as constellations with non-uniform probability or constellation shaping. In this letter, we focus on constellation shaping. We give a construction of amplitude and phase-shift keying (APSK) constellations with equiprobable signaling that achieve the Gaussian capacity as the number of constellation points goes to infinity.

Related

• Bounds on the Capacity of the Blockwise Noncoherent APSK-AWGN Channels
• Closing the Gap to the Capacity of APSK: Constellation Shaping and Degree Distributions
• Capacity Bounds and Low-Complexity Constellation Shaping under Mixed Gaussian-Impulsive Noise
• Capacity and Modulations with Peak Power Constraint
• Finite-Support Capacity-Approaching Distributions for AWGN Channels