PROBLEM 052 · Hard · An op amp with an output buffer
Heavy Lifter
A buffered OTA driving 1 kΩ
The problem
Build a five-transistor OTA (an NMOS pair on a tail Current source with a PMOS mirror load; “inp” on the diode side) and follow its output with a source follower: an NMOS with its gate on the OTA’s output node, its drain on VDD and its source on “out”, biased by a Current source to ground. The test bench connects a 1 kΩ load from “out” to ground, and its feedback resistor ties “out” to “inn” for biasing.
The OTA alone would see a 1 kΩ load against an output resistance of hundreds of kilohms: all the gain would be lost. The follower’s output resistance of a hundred ohms or so makes the load a small fraction of the stage’s gain loss. The price is that its input sits one Vgs above its output.
The test bench
- Supply: VDD = 1.8 V.
- The test bench connects a 1 kΩ load from “out” to ground, adds a 1 pF capacitor on “out”, and ties “out” to “inn” through 1 GΩ (with a 1 F capacitor from “inn” to a quiet source) so that the amplifier biases itself but is open-loop for AC. The AC stimulus is on “inp”.
Numbers to hit
- DC gain into 1 kΩ at least 28 dB
- Unity-gain bandwidth at least 5 MHz
- Phase margin at least 50 °
- Power at most 2200 µW
- Every transistor in saturation
Design it yourself
Draw the circuit on a schematic canvas, size every transistor, and see it simulated in your browser with ngspice and the SkyWater SKY130 models. Every transistor lights up green, gold or red by operating region as you move the sliders.
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