A note on “On the ratio of independent complex Gaussian random variables”

Nadimi et al. (Multidimens Syst Signal Process 2017. https://doi.org/10.1007/s11045-017-0519-3) studied the distribution of the ratio of two independent complex Gaussian random variables. The expressions provided for the distribution involved a hypergeometric function and an infinite sum. Here, we derive simpler and more manageable expressions. The practical usefulness of the expressions in terms of computational time is illustrated.