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In this paper, an analytical formulation for calculation of a Black Box conversion matrix using results of a large signal harmonic balance simulation is presented. This formulation is based on analytical modeling of a general black box and incorporates only the large signal analysis data (pump signal harmonics). The formulation is applied to a nonlinear resistor as a special case, and the results are compared with those of classical methods. The method is applied to a diode and the results of the proposed method and classical method are compared incorporating a special error criterion defined. Finally measurement results are included to verify the proposed method's accuracy.