Performance Analysis of Generalized Triangular QAM

It is known that triangular QAM with triangular signal constellations gets better SER gain than square QAM with rectangular signal constellations. In the paper, we propose an exact and general closed-form expression of the probability of symbol error for generalized TQAM, which has been currently researched. We verify that the simulation is consistent with the derived equation of generalized TQAM. And, we also suggest the optimal signal constellation schemes for generalized TQAM at given SNR values.