A Simulator of Spatially Correlated Complex-Valued Nakagami Fading Channels

This paper proposes a correlated Nakagami-m fading simulator incorporating phase components. A phase difference distribution is exploited to evaluate the covariance matrix of the random vector whose elements are complex-valued, correlated channel weights. Several uncorrelated Jakes' fading simulators are then employed to synthesize correlated Nakagami-m fading channels accordingly to maintain the Clarke's spectrum. Envelope profiles, probability density functions of the envelopes and the phase differences, autocovariance functions and power spectral density are simulated to compare with the theoretical analyses. Simulation results exhibit the effectiveness of the proposed spatially correlated, complex-valued Nakagami-m fading simulator.