  We report the similarity between the Nakagami-m fading distribution and the
three Gaussian ensembles of random matrix theory. We provide a brief review of
random matrix theory and wireless fading. We show that the Nakagami-m
distribution serves as mapping between the three ensembles. The statistics of
the wireless fading amplitude, as modeled by Nakagami-m distribution, provide a
rare example of a classically chaotic system that exhibits a transition between
the Gaussian orthogonal, Gaussian unitary, and Gaussian symplectic ensembles of
random matrix theory.
