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Impulse systems do not undergo the multipath destructive interference that manifests itself as Rayleigh fading prevalent in continuous wave systems, but rather show up as delayed replicants of the direct impulse. In this paper, the model for impulse signals propagation over a plane earth is proposed. The condition for direct pulse and its replicant overlapping with each other is investigated. The model described here also takes into account the polarization of the transmission signals and the reflection coefficient of the plane, which was always neglected by previous approaches. The simulation result shows that the path loss can be characterized as 3 zones with different path loss exponent as distance between transmitter and receiver (T-R) increasing.