2022-10-05 10:28
Status:
# Component Noise
Different components have different amounts of noise.
## Resistor Noise

$v_n^2(f)=4kTR$ where k is Boltzmann's constant.
There's no frequency in the equation (white noise independent of frequency).
### Alternative Model

## Diode Noise

q - electron charge.
Also white noise.
Shot noise - two separate regions where an electron has to cross a barrier.
## MOSFET Noise

$I_{dn}^2(f)=4kT\frac{2}{3}g_m$
$V_{gn}^2(f)=\frac{K_f}{WLC_{OX}f}$
Where $K_f$ is the flicker noise coefficient.
### Reflecting noise to gate or drain side
It is common to lump these noise sources into the drain or gate side of the transistor.
using the transfer function $i_D=g_mv_{gs}$, we divide by $g_m^2$ to get the gate referred noise:
$V_{gn,Tot}^2(f)=\frac{K_f}{WLC_{OX}f}+4kT\frac{2}{3}\frac{1}{g_m}$

### Noise Corner
Where the flicker noise and white noise are equal.

## Limits

Divergest in both high and low frequencies (issues for integrating).
HF - not an issue because there is always finite capacitance on the output meaning there is a LPF.
LF - lower limit is 1/time to turn the device on for (not really an issue in reality).
## Reactive Components

All noiseless!
If it has loss - noise!
[^1]
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# References
[^1]: [vr-4602-wk03-sc08-componentnoise](../../Spaces/University/ELEC4602%20–%20Microelectronics%20Design%20and%20Technology/Lectures/W3/vr-4602-wk03-sc08-componentnoise.mp4)