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Voltage or Current References Requirements of a Reference Circuit: • Should be independent of power supply • Should be independent of temperature • Should be independent of processing variations • Should be independent of noise Voltage or Current References Requirements of a Reference Circuit: • Should be independent of power supply • Should be independent of temperature • Should be independent of processing variations • Should be independent of noise Sensitivity: Vref SV = dd ( D Vref / Vref ) / ( D Vdd / Vdd ) Voltage or Current References Requirements of a Reference Circuit: • Should be independent of power supply • Should be independent of temperature • Should be independent of processing variations • Should be independent of noise Sensitivity: Vref SV = dd ( D Vref / Vref ) / ( D Vdd / Vdd ) If sensitivity = 1, then 10% change in Vdd results in a 10% in Vref Simple Bias Circuits Vdd Vout GND Typically using a potentiometer Simple Bias Circuits Vdd Vout GND Typically using a potentiometer Vref SV = 1 dd Simple Bias Circuits Vdd Transistor-based resistive divider Vout Vdd Vout GND Typically using a potentiometer Vref SV = 1 dd GND Simple Bias Circuits Vdd Transistor-based resistive divider Vout Vdd Vout GND Typically using a potentiometer Vref SV = 1 dd GND If KN = KP and VTN = |VTP| Vref SV = 1 dd Simple Bias Circuits Vdd Transistor-based resistive divider Vout Vdd Vout GND Typically using a potentiometer Vref SV = 1 dd GND If KN = KP and VTN = |VTP| Vref SV = 1 dd Typically poor Power Supply Rejection (low PSRR) Bias Circuits involving Diodes MOSFET Source Vdd R Iout Vout GND Current Source GND Bias Circuits involving Diodes MOSFET Source BJT Source Vdd Vdd R Iout R Vout Vout GND Current Source GND GND Bias Circuits involving Diodes MOSFET Source BJT Source Vdd Vdd R Iout R Vout Vout GND Current Source GND GND Significant Power Supply Rejection (higher PSRR) Output Voltage Sensitivity BJT Source Vdd Small-Signal model: Vdd R R Vref Vref 1/gm GND GND Output Voltage Sensitivity BJT Source Vdd Small-Signal model: Vdd R Vref R gm Vref Vref 1/gm GND GND = Vdd / (1 + gm R) = (Vdd0 – Vref0)/ R UT Output Voltage Sensitivity BJT Source Vdd Small-Signal model: Vdd R Vref R gm Vref = (Vdd0 – Vref0)/ R UT Vref Vref (1 + (Vdd0 1/gm GND = Vdd / (1 + gm R) GND – Vref0)/ UT ) = Vdd Vref SV = (Vref / Vdd) (Vdd0 / Vref0) dd = (Vdd0/Vref0)/(1 + (Vdd0–Vref0)/UT ) Output Voltage Sensitivity BJT Source Vref SV = (Vref / Vdd) (Vdd0 / Vref0) Vdd dd = (Vdd0/Vref0)/(1 + (Vdd0–Vref0)/UT ) R Vref GND Output Voltage Sensitivity BJT Source Vref SV = (Vref / Vdd) (Vdd0 / Vref0) Vdd dd = (Vdd0/Vref0)/(1 + (Vdd0–Vref0)/UT ) R Vref Vdd0–Vref0 Vref >> UT SV = (Vdd0/ (Vdd0–Vref0)) (UT / Vref0) dd GND Output Voltage Sensitivity BJT Source Vref SV = (Vref / Vdd) (Vdd0 / Vref0) Vdd dd = (Vdd0/Vref0)/(1 + (Vdd0–Vref0)/UT ) R Vref Vdd0–Vref0 >> UT Vref SV = (Vdd0/ (Vdd0–Vref0)) (UT / Vref0) dd ~1 GND Output Voltage Sensitivity BJT Source Vref SV = (Vref / Vdd) (Vdd0 / Vref0) Vdd dd = (Vdd0/Vref0)/(1 + (Vdd0–Vref0)/UT ) R Vref Vdd0–Vref0 >> UT Vref SV = (Vdd0/ (Vdd0–Vref0)) (UT / Vref0) dd ~1 GND With Vref0 ~ 0.65, Vref SV = 0.04 dd Bias Circuits involving Diodes Vdd R Vout R1 Allows wider variation of output voltage GND R2 GND Significant Power Supply Rejection (high PSRR) Breakdown Diode Reference Breakdown Diode Reference Breakdown Diode Reference V V V v V rZ VDD Z R VBV REF DD ref DD SVREF V V DD v V r DD REF dd BV Big Issue: Very noisy output voltage Bootstrapped Reference Vdd Vdd M4 M3 Vout2 Iref Vout1 M1 M2 GND R GND AI = (W/L)1 / (W/L)2 Bootstrapped Reference Vdd Vdd M4 M3 Vout2 Iref Vout1 M1 M2 V R GND GND AI = (W/L)1 / (W/L)2 Bootstrapped Reference Vdd Vdd M4 M3 Vout2 In subthreshold (or BJTs): V = UT ln(AI) = Iref R Iref Vout1 M1 M2 V R GND AI = (W/L)1 / (W/L)2 GND Iref = UT ln(AI) / R Bootstrapped Reference Vdd Vdd Vdd M4 M3 AI = (W/L)1 / (W/L)2 Vout2 Iref Iref Iref Vout1 M1 Iref = UT ln(AI) / R M2 V R GND In subthreshold (or BJTs): V = UT ln(AI) = Iref R GND GND Bootstrapped Reference Bootstrapped Reference Bootstrapped Reference Startup Circuit Bootstrapped Reference Bootstrapped Reference Bootstrapped Reference Startup Circuit