There has been a rejuvenated interest in the use of arbitrary constellations (non-equally spaced) after promising performance results were demonstrated compared to conventional grid and circular constellations. To enable the development of such constellations, in this contribution we derive an upper bound bit-error-rate (BER) expressions for coded transmit maximum ratio combining (TMRC) systems operating in Nakagami-m fading environments with arbitrary constellations and encoder types. Unlike most existing works on error performance analysis for coded systems, a chosen pair of constellation and encoder need not be quasi-regular. Furthermore, the system model includes a provision for multiple orthogonal transmission phases with different number of transmit antennas. Simulation results demonstrate the accuracy of the derived analytical results for a range of system scenarios.

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Conference 84th IEEE Vehicular Technology Conference, VTC Fall 2016
Ilter, M.C. (Mehmet Cagri), Dmochowski, P.A. (Pawel A.), & Yanikomeroglu, H. (2017). Arbitrary constellations with coded maximum ratio transmission over downlink Nakagami-m fading channels. In IEEE Vehicular Technology Conference. doi:10.1109/VTCFall.2016.7880908