2022-10-05 11:05
Status:
# Current mirrors
Fundamental IC building block.
## Layout
"diode-connected" transistor

## Basic Working

If same $V_{GS}$, same current!
## Current Scaling
Can also scale by changing the width ratio (keep length the same for matching purposes):

## Output Response

When $V_{DS}$ is equal to the effective voltage, saturation is reached.
At Vin, for matched width, $I_{out}=I_{in}$
Linear section in saturation can be modelled using a small signal model.
## Small-signal Model

The [diode connected transistor](diode%20connected%20transistor.md) current source acts like a resistor - where the current flow through it is proportional to the voltage across it.

### Small-signal Input Resistance
$r_{in}=\frac{1}{{g_{m1}+1/r_{ds1}}}\approxeq\frac{1}{g_{m1}}$ as $g_{m1}>>\frac{1}{r_{ds1}}$
### Small-signal Output Resistance
$r_{out}=r_{ds2}$
### Small-signal Gain
$v_{in}=i_{in}\frac{1}{g_{m1}}$
At zero-load (the output is shorted to ground since it is a current output) - $i_{out}=g_{m2}V_{in}=\frac{g_{m2}}{g_{m1}}V_{in}$
If the only thing that differs is the transistor width, the transconductance ratio is the same as the width ratio (same as for large signal).
Small signal gain: $A_I=\frac{i_{out}}{i_{in}}\frac{g_{m2}}{g_{m1}}$
## Uses of current mirror
### Single Stage Amplifier
Can act as a single stage amplifier, with key LF small signal parameters of input and output resistance and small signal gain.
### Biasing
Distributing bias currents can be used by a multiple output current mirror.

All have same gate-source voltage.
$I_{out,k}=I_{in}\frac{W_k}{W_{in}}$
## PMOS

Entirely symmetrical to [N-type](n-type.md).
[^1]
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# References
[^1]: [vr-4602-wk04-sc01-currentmirrors](../../Spaces/University/ELEC4602%20–%20Microelectronics%20Design%20and%20Technology/Lectures/W3/vr-4602-wk04-sc01-currentmirrors.mp4)