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Approaching the Gaussian channel capacity with APSK constellations

Information Theory 2015-03-17 v1 math.IT

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.

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Cite

@article{arxiv.1503.04752,
  title  = {Approaching the Gaussian channel capacity with APSK constellations},
  author = {Hugo Meric},
  journal= {arXiv preprint arXiv:1503.04752},
  year   = {2015}
}

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R2 v1 2026-06-22T08:54:21.935Z