A New Constellation Shaping Method and Its Performance Evaluation in BICM-ID

Using equiprobable M-PAM/QAM constellation instead of Gaussian-distributed signal suffers performance loss, and the ultimate performance loss in high SNR regime is 1.53 dB. In this paper, we propose a new shaping method to optimize equiprobable constellations. The obtained PSK-PAM constellations can achieve performance gain in sense of mutual information by up to 0.3 dB and 0.57 dB over 16 QAM and 64 QAM, respectively. The new constellations are then applied to bit-interleaved coded modulation with iterative decoding (BICM-ID) and the performance gain over M-QAM is verified.