(Solved): The MOS differential amplifier shown in Fig. P9.126 utilizes three current mirrors for signal trans ...

The MOS differential amplifier shown in Fig. P9.126 utilizes three current mirrors for signal transmission: $Q_4?Q_6$ has a transmission factor of 2 [i.e., $(W/L{)}_6/(W/L{)}_4=2$ ], $Q_3?Q_5$ has a transmission factor of 1 , and $Q_7?Q_8$ has a transmission factor of 2. All transistors are sized to operate at the same overdrive voltage, $?V_{OV}?$. All transistors have the same Early voltage $?V_A?$. Figure P9.126 (a) Provide in tabular form the values of $I_D,g_m$, and $r_o$ of each of the eight transistors in terms of $I,V_{OV}$, and $V_A$. (b) Show that the differential voltage gain $A_d$ is given by $A_d=2g_{m1}\left(r_{o6}?r_{o8}\right)=V_A/V_{oV}$ (c) Derive the common-mode gain of the amplifier. Assume all the current mirrors copy the current without errors.