Basic Building Blocks for Analog/Mixed Signal ICs

Fuding Ge
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Bandgap Reference

Performance Metrics

Case Study


The following figure shows a conventioal CMOS bandgap circuit.


The area ratio of the two parasitic BJT is
A2/A1=m
Normally R1=R2
We have:
Vbg=Vbe1+(R2/R3)*(VTlnm)
A=(R2/R3)*lnm is the thermal voltage scale factor. Depends on the process, the temperature coefficiency of the forward biased base-emitter voltage Vbe, d(Vbe)/dT, is in the range of -1.5mV/K to -2.3mV/K, while at temperature the thermal voltage temperature coefficiency is 0.087mV/K. So the thermal voltage scale factor A is in the range of 1.5/0.087=17.2 to 23/0.087=26.
A ~ (17 to 26)
lnm ~ (2.08 to 3.18), (note that ln8=2.08, ln24=3.18).
R2/R3 ~ (5.4 to 13)

Non-ideal Effects

We now look at the effects of circuit non-ideality on the bandgap performance. Note that the last two mismatch is the ration error of two resistors or transisotrs, with careful layout, it can be in the 1% range, so the main error is the offset of the OTA.

We can see that the dominant nonideal effect is the offset as well as low frequency 1/f flicker noise of the opamp. One method to reduce the offset and 1/f noise is to use a chopper-stabilized opamp instead of a normal opamp. Here is an example using chopper-stabilized opamp(PDF) by M.A.T. Sanduleanu in Electronics Letters, May 1998

Special Cases

The traditional bandgap voltage is about 1.25 V. But some application need higher references, such as ADC. For example, for a ADC operates at 3V power supply, the required reference may be 2V. Another case is that as the technology scale, power supply voltage scale down too. For 90nm process, the powr supply is less than 1.2V, which is lower than the bandgap voltage.


Opamp Design


Arizona State University EEE523: Advanced Analog Circuit Design documents:

Here is a presentation on how to characterizatize the differential amplifier (from Cadence, PDF)


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