@techreport{elediasc12719,
            type = {Technical Report},
          author = {L. Tenuti and N. Anselmi and P. Rocca and M. Salucci and A. Massa},
           title = {A Minkowski Interval Analysis Sensitivity Tool for Analyzing the Impact of Amplifiers Tolerances in Planar Arrays},
       publisher = {University od Trento},
            year = {2017},
        keywords = {Antenna Arrays, Planar Antennas, Sensitivity Analysis, Antenna Uncertainties, Interval Analysis, Minkowski Sum, Amplitude Tolerance },
             url = {http://www.eledia.org/students-reports/719/},
        abstract = {some deviations can be observed on the nominal value of amplifiers used in the beamforming network of planar arrays. As a consequence, the radiated pattern may differ from the expected one, and the overall system performances can undergo a certain performance degradation. In this document, an interval analysis (IA)-based sensitivity tool is proposed to mathematically derive bounds on the radiated field by planar arrangements starting from the tolerances of the amplifiers of the control points. The developed approach is based on the Minkowski sum, rather than on standard Cartesian arithmetic. Some numerical results are shown, to prove the effectiveness of the Minkowski IA tool in estimating narrower pattern bounds than the standard Cartesian IA.}
}