Calculation of Voltage Gain Transfer Functions Using Trajectance Analysis

Numerator of the voltage gain transfer functions is directly derived with Trajectance analysis in this paper. Denominator of the voltage gain transfer functions is directly calculated by Suspendance analysis that was explained in prior publications. The voltage gain numerator is obtained by i) identifying all paths that connect the input node to output node of the circuit through sequential passive components and dependent active sources, ii) calculating the Suspendance of each path when the path segments are shorted to ground and iii) adding the products of path Trajectance and Suspendance together. The voltage gains of a four-node active MOSFET inductor are extracted and compared with numerical plots from Spice simulator to demonstrate the effectiveness of the Trajectance analysis.