Empirical Pseudo-Optimal Waveform Design for Dispersive Propagation Through Loamy Soil

Using a fast Fourier transform-based theoretical formulation as a starting point for a near-optimal waveform design, three near-optimal or pseudo-optimal pulses are empirically derived in this letter to achieve near-optimal penetration depth through the sample of loamy soil considered in this study. We describe three methods to derive these waveforms with improved features valid for any dispersive media: the first of them establishes a close approach of the Brillouin pulses; and the other two analyze structures that reinforce the Brillouin precursor formation to simultaneously achieve improved peak decay and reduced pulse broadening. The pulses are tested for experimental data achieved within a reduced range of frequency, 0.5-3 GHz, even that any theoretical dielectric model can be also used.