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Miller-OTA Opamp design. In AMIS CMOS 07 by Roman Prokop. Simple Miller-OTA Opamp with follower. All MOSes should work in saturation region – then their parameters are following:. N A – substrate doping ~ X .10 16 cm -3. Simple Miller-OTA Opamp AC hand calculation.
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Miller-OTA Opamp design In AMIS CMOS 07 by Roman Prokop
Simple Miller-OTA Opampwith follower All MOSes should work in saturation region – then their parameters are following: NA – substrate doping ~ X .1016 cm-3
Simple Miller-OTA OpampAC hand calculation AC small signal linearized model
Simple Miller-OTA OpampAC hand calculation Redrawing - simplification
Simple Miller-OTA OpampAC hand calculation – fp1=?We know, where it is Follower neglected
Simple Miller-OTA OpampAC hand calculation – fp1=? 3 possibilities a) No R, no C;G=0 Confirmation of the transfer function without R&C
A0 Simple Miller-OTA OpampAC hand calculation – fp1=? b) No R, only C;G=jωC
R - negligible Zero is moved if R=1/gm7 fZ=∞ Pole without changes A0 Simple Miller-OTA OpampAC hand calculation – fp1=? c) R & C (R added);G=(R+1/jωC)-1
Simple Miller-OTA OpampAC hand calculation GBW – Gain band width =?
Simple Miller-OTA OpampAC hand calculation First non-dominant pole -> stability =? 1st non-dominant pole decides about stability. if fND1> GBW stable We have 3 ND poles. We are interested in the lowest one. ad 1)C1 is small (high f) C1 shorts the V1 to the ground
ad 2)the most usual case • At this frequency we expect CC is a short • we get diode with gm7 >> other G Stability condition - approx. 3 < If there is no close other pole !!! estimate !!! Simple Miller-OTA OpampAC hand calculation First ND pole
Simple Miller-OTA OpampAC hand calculation First ND pole ad 3)caused by load capacitance It can appear if Cload is bigger capacitance Then expecting Cload >> ΣCds,Cdg
ICC:=min (IB,I4) Usually I4 > IB depends on IB Simple Miller-OTA OpampAC hand calculation SR – Slew rate Input goes rail to rail all IB current flows either through M1, M5, M6 or through M2
Simple Miller-OTA OpampDC hand calculationDC input range Be careful for temperature and process worst case
To suppress the offset Simple Miller-OTA OpampDC hand calculation – structure offset This systematic offset usually appears when Vds5≠ Vds6 Vds6 depends on Vgs7
Simple Miller-OTA OpampDC hand calculation Matching offset The first stage gives the most significant contribution to the offset. Contribution of the second stage is negligible because of the first stage gain. Usually sufficient for hand calculation Result is valid for 1σ statistical result - use value (4σ÷6σ) for offset calculation
MatchingAMIS CMOS07 parameters - NMOS Carefully: units mV, μm, %
MatchingAMIS CMOS07 parameters - PMOS Carefully: units mV, μm, %
Stability condition - approx. 3 < Simple Miller-OTA OpampHand calculation - Conclusion - AC
Simple Miller-OTA OpampHand calculation - Conclusion - DC DC input range Matching offset
Simple Miller-OTA OpampSimulation - AC Possible tested parameters: A0 - DC gain GBW – Gain bandwidth fp1 - The first pole frequency ~ fND1 - The first non-dominant pole frequency AM, PM – Gain margin, Phase margin
Simple Miller-OTA OpampSimulation - DC Possible tested parameters: OFFSET - Input asymmetry - systematic offset - matching offset CM – DC input range
Simple Miller-OTA OpampSimulation – DC input range Possible tested parameters: OFFSET - Input asymmetry - systematic offset - matching offset CM – DC input range