SER Performance Analysis of Generalized κ − µ and η − µ Fading Channels

System performance analysis is a vital issue in the fifth generation (5G) and beyond wireless communications, which is widely adopted for the design and estimation of wireless communication systems before deployments. To this end, the versatile system performance expressions that can be used under various conditions are of significant importance. This paper investigates the symbol error rate (SER) performance over the generalized κ − µ and η − µ fading channels, whereby the SER expressions in this case are versatile and can characterize the performance under various wireless channel models. To address the computational complexity associated with high-order trigonometric integration, we present the closed-form SER expressions with arbitrary small errors. Monte Carlo-based simulations demonstrate the validity of our derivation and analysis. Simulation results also show that: 1) the closed-form solutions we derived for SER yield minimal errors upon variations in the truncation factor T and are computationally more efficient, in which T can be set to a minimal value to attain precise outcomes or be optimally chosen contingent on the channel parameters; 2) elevating the values of parameters κ, µ and η results in decreased SER, with µ exerting a more significant impact than κ and η; and 3) our approximate expressions have superior accuracy compared to the previous estimated expressions.