Exact ASER Analysis of Rectangular QAM in Two-Way Relaying Networks Over Nakagami- $m$ Fading Channels

In this letter, we derive an exact closed-form expression for average symbol error rate (ASER) of general order rectangular quadrature amplitude modulation (RQAM) scheme in two-way amplify-and-forward relaying network by using cumulative distribution function-based approach over independent and non-identically distributed Nakagami-m fading channels with integer values of fading parameter. Furthermore, we investigate exact closed-form expressions of ASER for 32-cross QAM, differentially encoded quadri-phase shift-keying (DE-QPSK) and π/4-QPSK modulation schemes. The asymptotic expression of ASER for RQAM scheme, in high signal-to-noise ratio regime, is also proposed to examine a useful insight into system diversity order. Furthermore, Monte Carlo simulations are performed to compare the numerically evaluated results and verify accuracy of the derived expressions.