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This paper investigates the simulation performances of vehicle-to-anything (V2X) communications based on the IEEE 802.11p wireless access in vehicular environments (WAVE) system in practical small-scale fading models. The main contributions of this paper are as follows. First, we modify the experimental fading models reported by Georgia Institute of Technology to be applied to the computer simulation of V2X communications. Second, an enhanced linear minimum mean square error smoothing-aided decision directed (LSA-DD) channel estimator is proposed to track the time variation of fading channels and mitigate noise enhancement.