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A Low Supply Voltage CMOS Bandgap And Sub-threshold Voltage Reference. EE610 Course Project. Anurag Sindhu(Y5106) Ashish Bhatia (Y5121). Basic Idea. For generating a temperature independent voltage reference, we need Voltage with negative TC (Temp Coeff.) : V 1
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A Low Supply Voltage CMOS Bandgap And Sub-threshold Voltage Reference EE610 Course Project Anurag Sindhu(Y5106) Ashish Bhatia (Y5121)
Basic Idea • For generating a temperature independent voltage reference, we need • Voltage with negative TC (Temp Coeff.) : V1 • Voltage with positive TC : V2 • A circuit to linearly combine them(a1V1 + a2V2) such that net voltage has (almost) zero TCδ(a1V1 + a2V2) /δT = 0
Negative TC Voltage • VBE of BJT decreases with temperature
Positive TC Voltage • VBE1 – VBE2 = VT ln(Jc1/Jc2) = VPTAT increases with temp if Jc1 >Jc2 • In our case Jc1/Jc2 = (Ic1*A2)/(Ic2*A1) = 10*10 = 100 • => VBE1 – VBE2 = 120 mV (approx) at 300K
Voltage to Current Conversion I = k(VBE1-(VBE2-VTHP2)-VTHP1)2 = k(VBE1-VBE2) 2 …(1)
Current to Voltage Conversion (with Amplification) 5I = 0.2k(VBG-(VBE2-VTHP2)-VTHP6)2= 0.2k(VBG-VBE2)2 …(2)
I = k(VBE1-VBE2)2 …(1) 5I = 0.2k(VBG-VBE2)2 …(2)Solving (1) and (2)VBG = VBE2 + 5(VBE1-VBE2)
I = k(VBE1-VBE2)2 …(1) 5I = 0.2k(VBG-VBE2)2 …(2)Solving (1) and (2)VBG = VBE2 + 5(VBE1-VBE2) decreases with Temp 2mV/K increases with Temp 0.4 mV/K
5I 2I 5I 10 I 10 I 11 I I I I I I I M9 M10 M11 M12 Mc M1 M2 M6 Q2 M7 M8 M4 M3 Q1 M5
Our Innovation • To generate dual voltage references • Bandgap reference (1.157 V) • Sub-threshold reference (326 mV)
Circuit for sub-threshold reference M13 and M14 acts as Voltage Divider to producesub threshold output = 326 mV
Vmax = 1.158 VVmin = 1.140V Variation = 18 mV (from -25C to 75C)
Vmax = 327.5 mVVmin = 315.5 mVVariation = 12 mV (from -25C to 75C)
Vmax = 1.104 mVVmin = 1.084 mV Variation = 20 mV (Vdd varying from 1.3 to 1.5V)
Vmax = 308 mVVmin = 292 mV Variation = 16 mV (Vdd varying from 1.3 to 1.5V)
Advantages • Does not use Resistance or Op Amp => can be fabricated on any Digital CMOS technology • Dual Voltage reference available => can be used in low power systems • Devices operate at sub-threshold voltage during low computation periods • Jump to saturation mode during high computation periods
Main Challenge • Short Channel Transistors do not follow square law characteristics => adjustment to ideal W/L values, through iteration for getting desired current
References • “A Low-Supply-Voltage CMOS Sub-Bandgap Reference”, Adriana Becker-Gomez, T. Lakshmi Viswanathan, T. R. Viswanathan, IEEE Transactions On Circuits And Systems—II: Express Briefs, Vol. 55, No. 7, July 2008 • “Design of Analog CMOS Integrated Circuits”, Behzad Razavi, Tata McGraw Hill Publishers (Edition 2002)