Abstract

We consider the power constraint equiprobable uniformly spaced amplitude and phase-shift keying (APSK) constellations capacity and Euclidean distance under additive white Gaussian noise (AWGN) channel. Conventional APSK constellations construction schemes mainly focus on closing the gap between APSK and Gaussian channel capacity or maximizing the minimum Euclidean distance between the signal points. In this paper, we propose to modify the minimum Euclidean distance of APSK constellations based on the Gaussian channel capacity achievable construction technology. We present a novel shaping function which could achieve considerable signal-to-noise ratio (SNR) improvement and faster convergence of APSK to the Gaussian channel capacity than conventional scheme. Numerous simulation results demonstrate the validity of the proposed scheme.

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