Analogu3 Beat

2021 Solution 11

Isaac P Abraham
2020 Dec 25
Consider the T-coil used to implement bandwidth extension. Let RD <<
rds
M1
.
What is the ratio of the output impedance at very high frequencies to very low frequencies? In other words,
Z(out)
|
ω∞
Z(out)
|
ω0
=?
At very low frequencies, the inductors short out the capacitor CB. The resulting output impedance is RD.​
​At very high frequencies, although the inductors present a high impedance, the opposed magnetic coupling ensures that the signal sees RD//
rds
M1
. The resulting output impedance is ~RD.
The desired ratio is 1.