The main motivation for considering noise to be Gaussian is the central limit theorem (CLT), which accounts for the perturbations that are additive in nature. However, a communication link may be severely affected due to the presence of potential non‐Gaussian sources of noise. This paper considers an important class of non‐Gaussian noise known as symmetric alpha‐stable (SαS) noise. To this end, using binary phase‐shift keying (BPSK) modulation, the bit‐error rate (BER) performance of a communication link subjected to Nakagami‐m fading and SαS noise is investigated by employing three approaches: exact, asymptotic and approximate. A closed‐form expression for the probability of error over Nakagami‐m fading subjected to bi‐parameter Cauchy–Gaussian mixture noise (BCGM) model is obtained. The effect of fading parameter (m) and impulsive index (α) on the BER is analyzed for different settings. The derived results corroborate with Monte Carlo simulations.

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In this paper, using binary phase-shift keying (BPSK) modulation, analytical expressions of bit-error-rate (BER) for various non-homogeneous fading environments (α-μ, η-μ and κ-μ) subjected to SαS noise are obtained. The derived results are expressed in terms of Meijer's G-function and Gamma function. These expressions are used to study the performance of other prominent fading models (like Nakagami-m, Rayleigh, Rician, and Hoyt) available in the technical literature. Further, it is shown that the effect of the impulsive index (α) over BER is much pronounced compared to the amount of fading (AF). Numerical results are provided for different impulsive settings. The results obtained agree with those from simulations.

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