Performance Analysis of QAM-Like Constellations in Hyperbolic Space
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چکیده
We address in this paper the performance analysis of 16 and 64-QAM signal constellations in Euclidean space and the {15, 3} and {63, 3} signal constellations in hyperbolic space. In order to perform the analysis we derive the probability density function of the gaussian noise in one and two dimensional hyperbolic spaces. From this, we determine the probability of error of each one of the previously mentioned signal constellations. It is shown that the {15, 3} and {63, 3} signal constellations in hyperbolic space have coding gains of 5.36 and 4.49 dBs when compared to the 16 and 64-QAM signal constellations. These coding gains can be achieved in Euclidean space by use of Ungerboeck codes with memory μ = 6 and μ = 5, respectively.
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تاریخ انتشار 2003