Analyze the pole-splitting and right-half-plane zero cancellation of a standard two stage
structure (do root-locus to show this). Use g_(m1)=0.01,g_(m2)=0.02,R_(1)=100kOmega ,R_(2)=5kOmega ,
C_(1)=0.5pF,C_(2)=2pF, and sweep C_(C)&R_(C). For pole-splitting, use R_(C)=0 and sweep C_(C). For RHP
zero cancellation, set an appropriate value for C_(C) (you decide what is reasonable) and sweep
R_(C). First do the mathematical derivation (third order with R_(C) included) of the compensated
two-stage opamp, and then numerically solve for poles and zeros as a variable or {:C_(C)) is
swept. You may find MATLAB command roots useful for this task. The derivation does not
have to be simplified because you will be processing this numerically. Also, if you find a
derived result in a textbook/web somewhere, and choose to use that instead, be sure that you
understand it 100% clearly before using it.
1b. For pole-splitting, repeat with g_(m1)=0.01,g_(m2)=0.02,R_(2)=100kOmega ,R_(1)=5kOmega ,C_(2)=0.5pF,
C_(1)=2pF,R_(C)=0 (i.e. R_(1)C_(1) and R_(2)C_(2) are swapped). Explain what happens.
1. Analyze the pole-splitting and right-half-plane zero cancellation of a standard two stage structure (do root-locus to show this). Use gmi=0.01, gm2=0.02, Ri=100kQ, R2=5kQ, Ci=0.5pF, C2=2pF, and sweep Cc & Rc. For pole-splitting, use Rc=0 and sweep Cc. For RHP zero cancellation, set an appropriate value for Cc (you decide what is reasonable) and sweep Rc. First do the mathematical derivation (third order with Rc included) of the compensated two-stage opamp, and then numerically solve for poles and zeros as a variable (Rc or Cc) is swept. You may find MATLAB command roots useful for this task. The derivation does not have to be simplified because you will be processing this numerically. Also, if you find a derived result in a textbook/web somewhere, and choose to use that instead, be sure that you understand it 100% clearly before using it.
1b. For pole-splitting, repeat with gmi=0.01, gm2=0.02, R2=100kQ, Ri=5kQ, C2=0.5pF Ci=2pF,Rc=0 (i.e. RCi and R2C2 are swapped). Explain what happens