# Davis Advanced RF Technologies Lab

### High-Efficiency mmW/THz Oscillator Design - 2: Some Historic Perspectives

10 Jun 2018

$$A=A_R+jA_I=\frac{V_2}{V_1},$$ where $A_R$ and $A_I$ are the real and imaginary parts of $A$, respectively.
Let $y_{ij}=g_{ij}+jb_{ij}$ denote the Y-parameters of the network. By definition,
If we assume that $V_1$ is a constant with respect to $A$, then $P_R$ can be normalized
Eqn. 3 shows that the power $P_R$ forms a paraboloid with respect to the real and imaginary parts of the complex voltage gain. Maximum value of $P_R$ is reached at the apex of the paraboloid, and the corresponding optimum complex voltage gain is given by