PROBLEM 061 · Hard · Inductive peaking
Peak Performance
Bandwidth from an inductor: shunt peaking
The problem
Build a common-source amplifier with a resistive load and a series inductor: the drain “out” connects through an inductor L to a resistor Rd, whose other end is on VDD. The gate is driven by an Input source “in”. The test bench loads “out” with 150 fF. Choose Rd and L so that the −3 dB bandwidth is at least 380 MHz (about twice what the resistor alone gives) with no more than 1.5 dB of peaking.
A plain resistive load makes a pole at 1/(2π·Rd·CL). The inductor’s impedance rises with frequency and keeps the load impedance high where the capacitor would pull it down: it adds a zero at R/L that extends the bandwidth by up to 1.7 times. Too much inductance makes a peak in the response; the optimum, about L = 0.4·Rd²·CL, gives a flat response.
The test bench
- Supply: VDD = 1.8 V.
- The test bench hangs a 150 fF load capacitor from “out” to ground and applies the AC stimulus to “in”, sweeping from 100 MHz to 10 GHz.
Numbers to hit
- Gain at 100 MHz at least 8 dB
- Bandwidth (−3 dB) at least 380 MHz
- Peaking above the low-frequency gain at most 1.5 dB
- Output DC level between 0.6 V and 1.7 V
- 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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