10 Typical Application of Miller’s Theorem Miller’s theorem is useful when Z appears in parallel with the main signal (i.e. the amplifier)
11 Limitation of Miller’s Theorem Limitations:Interaction of poles through R3 and C3.
12 Association of Poles with Nodes Each pole is determined by the product ofTotal capacitance seen from each node to groundTotal resistance seen at the node to ground“Each node in the circuit contributes one pole to the transfer function”
16 CS Trade-Off L(um) W(um) GDS (uS) CDB (fF) CGD(fF) CGS(fF) 2 5.78 3.6135.191.8498.16800n2.563.790.9150.80317.3180n0.865.720.0560.2731.20120n0.649.550.0290.2010.55For Same IOUT,L↓→W↓→GDS↑(Ro↓) →CDS ↓Specs:AV=10Vo,cm=0.6VI(M1)=10 uAgm=AV/RDGmoverid_1=16.67Trade-offs in GDS and parasiticcapacitance.
17 CS Trade-Off AV I (uA) L(um) W(um) GDS (uS) CDB (fF) CGD(fF) CGS(fF) 1025.783.6135.191.8498.161532.55.3327.510.4517.820668.26.66319.6239.86,041.1For Same IOUT,L↓→W↓→GDS↑(Ro↓) →CDS ↓Specs:Vo,cm=0.6Vgm=AV/RDDifficult to achieve high gain andhigh speed at the same time!