2022-10-12 10:00
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# Differential Pair

Performance is better with a constant current source (current mirror, possibly a [cascode](cascode.md) current mirror).
The output of a differential pair is the difference between the two drain currents (transconductive device).
Input is the difference between bias voltages.

## Uses of Differential Pair
Usually used for a small differential input voltage.

Device is transconductive.
## Input Resistance
The input resistance of the device is large since no current flows into the gate. ($r_{in}=\infty$)
## Gain
$G_m=\frac{i_{out}}{v_{in}}=g_m$ for a matched set of transistors
## Output Resistance
Depends on load connected.
Commonly use a current mirror for an active load:

$r_{out} = r_{ds2}||r_{ds4}$ -> looks like it's M4 and M2 in parallel. Requires a full small-signal diagram to derive.
Current source used to bias is normally connected to negative power supply (almost always in practice).
## PMOS

[^1]
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# References
[^1]: [vr-4602-wk04-sc05-differentialpair](../../Spaces/University/ELEC4602%20–%20Microelectronics%20Design%20and%20Technology/Lectures/W4/vr-4602-wk04-sc05-differentialpair.mp4)