The ASER of HQAM technique for a decode-and-forward (DF) relay-conducted dual-hop communication model influenced by the α-F fading channels is inspected in this paper. On the receiver, the MRC diversity method is assembled. Two independent communication paths are connected to the MRC receiver. One path is from the transmitter through a DF relay to the receiver and another path is directly between sender and receiver. The outage probability (OP) of a specific link is realized. The HQAM technique is practiced to evaluate the interpretation of the ABER. The system is treated to be persuaded by the α-F fading environment. The α-F distribution reflects two important distributions namely the composite Fisher-Snedecor F model and the α-μ fading distribution. The MGF statistical approach and the OP of the transmitter to the DF relay link are used to realize the ASER of the system. The Gamma function and Meijer G-function are associated to examine the ASER. The ASER performance improves when the sum of multipath clusters of the communication environment increases and the non-linearity of the propagation surroundings enhances. The system ASER decreases whenever the shadowing parameter upgrades referring to the low shadowing effect. With the increase in the average SNR, the amount of ASER reduces. The ASER performance degrades whenever the number of constellation points increases in the HQAM technique.