Direct Extraction Method of HBT Equivalent-Circuit Elements Relying Exclusively on $S$ -Parameters Measured at Normal Bias Conditions

A new direct parameter-extraction scheme applied to a heterojunction bipolar transistor (HBT) small-signal equivalent circuit with distributed base-collector junction capacitance is presented. The proposed method relies exclusively on
S
-parameters measured at low and high frequencies in normal bias conditions, and without using approximations based on anticipated values. The extraction results obtained from low-frequency modeling allow the extraction of the parasitic inductances at high frequency. This is performed by formulating expressions based on ac-current-source consideration different from the previously published one, without affecting the physical signification of the HBT model. This method presents a simple way for the extraction of the model parameters directly. An experimental validation on an InP double HBT device was carried out, using the
S
-parameters measured in a frequency range of 40 MHz-50 GHz over a wide range of bias points. The modeling results are presented, showing that the proposed method can yield a good fit between measured and calculated
S
-parameters.