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In this paper a new analytical model about the calculation of resonance frequencies and bandwidth of log-periodic planar antennas is proposed. The two previous known models and our novel model are compared to numerical simulations and experimental measurements. In the theoretical part analytical calculations are opposed to the results of reflection parameter simulations. Our model shows a very good coincidence according to the number and position of resonance frequencies. We show that this is not the case for the previous models. For the experimental validation of the novel model several devices with different geometries were fabricated and characterized in the 1-8 GHz frequency range. All considered antenna structures exhibit an excellent coincidence between calculations, simulations and measurements.