Single-element antenna that uses microstrip line as a feeder and cylindrical dielectric resonator orthogonally oriented relative to the line as a radiating element has been investigated. The complete mathematical model of proposed design consisting of a number of analytical expressions for main antenna characteristics is obtained and verified. The analytical relation for antenna return loss versus stub length and coupling coefficients of dielectric resonator with the feeding line and open space is derived. The assessment of the potential possibility and conditions of perfect antenna matching with feeding line is carried out. The influence of main parameters of a dielectric resonator antenna on its characteristics is examined. The numerical analysis of different antenna parameters proving the obtained analytical expressions is performed. The results of theoretical analysis are in good agreement with experimental data.