1) In the circuit right, the given parameters are: $V_{DD} = 3 V$, $\mu_n C_{ox} = 200 \mu A/V^2$, $\mu_p = 2\mu_n$, $V_{thn} = |V_{thp}| = 0.6 V$ $\lambda_n = \lambda_p = 0.05 V^{-1}$.
The overdrive voltage $V_{ov} (V_{gs} - V_{th})$ of all transistors, except the input devices, is 150 mV. $(W/L)_1 = (W/L)_2$, $(W/L)_3 = (W/L)_4$, $I_{REF} = 1.5 mA$ and $|A_{cm}| = 0.99$.
a) Find the value of R and the W/L ratios of all transistors.
b) Calculate the differential mode gain $A_{dm}$.
2) In the differential amplifier below, Q1 and Q2, M3 and M4 are identical. Q1 - Q2 have $V_A < \infty$, M3, M4, M5 and M6 have $\lambda > 0$.
a) Find the expression for the differential input resistance and output resistance.
b) Find the expression for the $A_{dm}$
c) Find the expression for the CMRR of the amplifier.
d) How can you boost this amplifier's CMRR without changing its differential mode gain or adding a transistor?
