In an effort to characterize the behavior of the channel between two nearby parabolic antennas as a function of different system parameters (distance and azimuth angle) is presented. The antennas were considered as a Linear Time Invariant (LTI) System and its coupling was represented by the transmission S-parameter, which was obtained for several scenarios by simulation mean. The Cauchy Method is applied to extract the Singularity Expansion Method (SEM) poles in frequency domain. A rational model is obtained for each parameter configuration. The resonances extracted of the S-parameter data was validated comparing the system response and its reconstruction.