"Noise Analysis"

Noise Analysis

Circuit diagram

Schematics of noisyVampSimple. — Figure: noisyVampSimple.svg
Schematics of noisyVampSimple.

Symbolic noise analysis results

Detector-referred noise spectrum

S_{o u t} = \frac{4 R_{1} R_{2} T k {(R_{1} + R_{2})}^{2}}{R_{2}^{2} (R_{1} + R_{2})} + \frac{4 R_{s} T k {(R_{1} + R_{2})}^{2}}{R_{2}^{2}} + \frac{S_{i} {(R_{1} + R_{2})}^{2} {(R_{1} R_{2} + R_{1} R_{s} + R_{2} R_{s})}^{2}}{R_{2}^{2} {(R_{1} + R_{2})}^{2}} + \frac{S_{v} {(R_{1} + R_{2})}^{2}}{R_{2}^{2}} [\frac{V^{2}}{Hz}]

Source-referred noise spectrum

S_{i n} = \frac{4 R_{1} R_{2} T k}{R_{1} + R_{2}} + 4 R_{s} T k + \frac{S_{i} {(R_{1} R_{2} + R_{1} R_{s} + R_{2} R_{s})}^{2}}{{(R_{1} + R_{2})}^{2}} + S_{v} [\frac{V^{2}}{Hz}]

Contributions of individual noise sources

Noise source: I2
Spectral density:	$S_{i}$	$[\frac{A^{2}}{Hz}]$
Detector-referred:	$\frac{S_{i} {(R_{1} + R_{2})}^{2} {(R_{1} R_{2} + R_{1} R_{s} + R_{2} R_{s})}^{2}}{R_{2}^{2} {(R_{1} + R_{2})}^{2}}$	$[\frac{V^{2}}{Hz}]$
Source-referred:	$\frac{S_{i} {(R_{1} R_{2} + R_{1} R_{s} + R_{2} R_{s})}^{2}}{{(R_{1} + R_{2})}^{2}}$	$[\frac{V^{2}}{Hz}]$
Noise source: I_noise_R2
Spectral density:	$\frac{4 T k (R_{1} + R_{2})}{R_{1} R_{2}}$	$[\frac{A^{2}}{Hz}]$
Detector-referred:	$\frac{4 R_{1} R_{2} T k {(R_{1} + R_{2})}^{2}}{R_{2}^{2} (R_{1} + R_{2})}$	$[\frac{V^{2}}{Hz}]$
Source-referred:	$\frac{4 R_{1} R_{2} T k}{R_{1} + R_{2}}$	$[\frac{V^{2}}{Hz}]$
Noise source: V1
Spectral density:	$4 R_{s} T k$	$[\frac{V^{2}}{Hz}]$
Detector-referred:	$\frac{4 R_{s} T k {(R_{1} + R_{2})}^{2}}{R_{2}^{2}}$	$[\frac{V^{2}}{Hz}]$
Source-referred:	$4 R_{s} T k$	$[\frac{V^{2}}{Hz}]$
Noise source: V2
Spectral density:	$S_{v}$	$[\frac{V^{2}}{Hz}]$
Detector-referred:	$\frac{S_{v} {(R_{1} + R_{2})}^{2}}{R_{2}^{2}}$	$[\frac{V^{2}}{Hz}]$
Source-referred:	$S_{v}$	$[\frac{V^{2}}{Hz}]$

Go to noisyVampSimple_index

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Last project update: 2023-04-08 19:32:27