Wavelet-based scaling behavior of HF channel scattering function

The paper is concerned with the scaling behavior of a scattering function of an HF channel. The non homogeneity of the scattering function expressed according to the time propagation and Doppler shift led us to split it into two one dimensional vectors. We have studied their scale dependent properties over global and local scaling analysis. As an example, we have studied the ionospheric channel. Based on multifractal formalism combined with the discrete wavelet transform, we have proved the multifractality of the ionospheric scattering function and detected the presence of a long-range-dependence phenomenon. Also, we have shown the existence of a cut-off scale below which the scaling behavior no longer holds. These results are very useful for further HF channel modelling.