Analytical Performance of M-PSK Communications Systems in the Presence of Gain/Phase Imbalances and DC-Offsets

This letter addresses the performance of M-PSK communications systems in the presence of gain/phase imbalances and DC-offsets in in-phase and quadrature channels. A model is established to represent the gain/phase imbalances and DC-offsets in both the transmitter and the receiver, and two closed-form formulas are derived to calculate the symbol error rate (SER) of the M-PSK communications systems in the presence of these impairments. Computer simulations are conducted to validate the derivation, and the results show that the SER calculated from the formulas closely matches the simulation results. The formulas provide an accurate guideline for communications system architects/engineers to evaluate the impacts of various imbalances and offsets on the system performance and to determine the required component specifications.