know how to: compute Vds and Id for qpoint (all caps are open, no input sig) from that, determine Ao(midband gain Vo/Vsig), Rout, Rin (at midband, all caps are short, all DC sources are shorted to ground) want Rin high and Rout low find -3dB high freq cutoff Ao = 20log(Vo/Vsig) = 20log(-10.76) ~~ 20.64dB as for -3dB high freq cutoff, use high freq model of the mosfet need to model whole circuit as impedance with high freq model of mosfet, use superposition to evaluate caps individually looking primarily at Cgs and Cgd pick Cgs: redraw the circuit with all other caps open, short all independent sig sources, get Rt = Rsig||Rin = 80.7K, tau1 = RtCgs = 8.08e-8 sec pick Cgd: redraw the circuit with all other caps open, short all independent sig sources, get a circuit with a dependent source gmVgs since we have a dependent source, need to apply test current, replace cap under test with test current Ix, this gives us Rx = Vx/Ix, let Ix = 1 do KCL: 1@Vgs node: Vgs/Rsig + Vgs/Rin + Ix = 0 2@Vout node: gmVgs + (Vgs+Vx)/Rl' - Ix = 0 get -Ix = Vgs(1/Rsig + 1/Rin) and Ix = Vgs(gm+1/Rl') + Vx/Rl' Vx/Ix = Rgd = Rl'(1+(Rsig||Rin)gm + Rsig||Rin/Rl') = 1.16Mohms -> taugd = 1.16e-6 sec wh = 1/(8.08e-8 + 1.16e-6) = 806Krad/sec fh = 128.3KHz talk of miller's theorem in a linear circuit, if there exists a branch with impedance z connecting two nodes V1 and V2, the impedance z can be replaced with two branches connecting the nodes to ground with new impedances z1 = z/(1-k) and z2 = z/(1-1/k) where K=V2/V1 or KV1 = V2 where K is just the gain between V1 and V2 next: analyzing the CMOS cell