Design of antenna states in reconfigurable antenna based wireless communication system require careful characterization process based on interplay between pattern of an antenna state and directional impulse response of propagation channel. This work introduces similarity and distance (i.e., dis-similarity) measures that are used in other field of science for characterizing interaction of antenna pattern and propagation channel. The distance/similarity measures are presented in cumulative distribution functions that characterize the interplay of different antenna states with propagation channels and show which antenna states that behave similarly. The presented approach may help in devising a design process to select the antenna state that may enhance the performance of wireless communication systems.