Cj. Wei et Jcm. Hwang, DIRECT EXTRACTION OF EQUIVALENT-CIRCUIT PARAMETERS FOR HETEROJUNCTIONBIPOLAR-TRANSISTORS, IEEE transactions on microwave theory and techniques, 43(9), 1995, pp. 2035-2040
A new method is presented for the direct extraction of hybrid-T equiva
lent circuits for heterojunction bipolar transistors. The method diffe
rs from previous ones by extracting the equivalent circuit without usi
ng test structures or numerical optimization techniques. Instead, ail
equivalent circuit parameters are calculated analytically from small-s
ignal S-parameters measured under different bias conditions. The analy
sis includes the distributed nature of the HBT base. The calculated pa
rameters are essentially frequency-independent and they exhibit system
atic bias dependence over the typical operating range of the transisto
r. Thus, the present method ensures unique and physically meaningful p
arameters for transistor design improvement and large-signal circuit s
imulation. In addition, the present method is much faster than the num
erical optimization method.