Methods and apparatuses for signaling with geometric constellations in a Rayleigh fading channel
地域：
PA
PA Wayne
摘要
Communication systems are described that use signal constellations, which have unequally spaced (i.e. ‘geometrically’ shaped) points. In many embodiments, the communication systems use specific geometric constellations that are capacity optimized at a specific SNR, over the Rayleigh fading channel. In addition, ranges within which the constellation points of a capacity optimized constellation can be perturbed and are still likely to achieve a given percentage of the optimal capacity increase compared to a constellation that maximizes dmin, are also described. Capacity measures that are used in the selection of the location of constellation points include, but are not limited to, parallel decode (PD) capacity and joint capacity.
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Another class of geometric constellations is disclosed in Long et al., “Approaching the AWGN Channel Capacity without Active Shaping” Proceedings of International Symposium on Information Theory, p. 374, 1997. The specific PAM-8, PAM-16, and PAM-32 constellations disclosed by Long et al. are as follows:
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