Trellis-coded modulation with multidimensional constellations
IEEE Transactions on Information Theory
Constellations matched to the Rayleigh fading channel
IEEE Transactions on Information Theory
Algebraic tools to build modulation schemes for fading channels
IEEE Transactions on Information Theory
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Diversity is the key solution to obtain efficient channel coding in wireless communications, where the signal is subject to fading (Rayleigh Fading Channel). For high spectral efficiency, the best solutions used nowadays are based on QAM constellations of 1-order diversity, associated with a binary code or a trellis coded modulation to increase the overall diversity. It has been shown that a new class of d-dimensional non-QAM constellations, named \pi-constellations, can bring a d-order diversity without the addition of redundancy. Combined with classical coding techniques, \pi-constellations are very efficient. However, the decoding algorithm is far more complicated for \pi-constellations than for QAM-constellations. A sub-optimal algorithm that allows the decoding of \pi-constellations is proposed. An example of an application for a 4 bits/Hz/s spectral efficiency with a 4-D \pi-constellation is given. The VLSI architecture of the decoder is described. The implementation leads to 72 K gates, a binary rate of 32 Mbits/s and a BER of 10-3 for a SNR of14 dB.