This paper introduces fractal theory into the research of multipath fading channels

and a novel Fractal Brownian Motion (FBM) model is established.By studying the increments' probability distribution

statistical self-similarity

generalized power spectra and fractal dimension of multipath fading signals

it shows the inherent relationship between the multipath fading and FBM

and that fractal dimension is a key parameter for describing the signal propagation in wireless channels.Finally

we apply FBM model to the reconstruction of multipath signals

yielding reasonably accurate replication.Simulation results indicate that the FBM model could describe multipath fading phenomena more accurately and effective than the conventional statistical models.