"Noise Analysis"

Noise Analysis

Circuit diagram

Schematics of noisyVamp.
Figure: noisyVamp.svg
Schematics of noisyVamp.

Symbolic noise analysis results

Detector-referred noise spectrum

$$S_{out}=\frac{4 R_{1}^{2} T k}{R_{2}} + 4 R_{1} T k + \frac{4 R_{s} T k \left(R_{1} + R_{2}\right)^{2}}{R_{2}^{2}} + \frac{S_{i} \left(R_{1} R_{2} + R_{1} R_{s} + R_{2} R_{s}\right)^{2}}{R_{2}^{2}} + \frac{S_{v} \left(R_{1} + R_{2}\right)^{2}}{R_{2}^{2}}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Source-referred noise spectrum

$$S_{in}=\frac{4 R_{1}^{2} R_{2} T k}{\left(R_{1} + R_{2}\right)^{2}} + \frac{4 R_{1} R_{2}^{2} T k}{\left(R_{1} + R_{2}\right)^{2}} + 4 R_{s} T k + \frac{S_{i} \left(R_{1} R_{2} + R_{1} R_{s} + R_{2} R_{s}\right)^{2}}{\left(R_{1} + R_{2}\right)^{2}} + S_{v}\, \mathrm{\left[\frac{V^2}{Hz}\right]}$$

Contributions of individual noise sources

Noise source: I1_XU1
Spectral density:$S_{i}$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$\frac{S_{i} \left(R_{1} R_{2} + R_{1} R_{s} + R_{2} R_{s}\right)^{2}}{R_{2}^{2}}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$\frac{S_{i} \left(R_{1} R_{2} + R_{1} R_{s} + R_{2} R_{s}\right)^{2}}{\left(R_{1} + R_{2}\right)^{2}}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: I_noise_R1
Spectral density:$\frac{4 T k}{R_{1}}$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$4 R_{1} T k$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$\frac{4 R_{1} R_{2}^{2} T k}{\left(R_{1} + R_{2}\right)^{2}}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: I_noise_R2
Spectral density:$\frac{4 T k}{R_{2}}$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$\frac{4 R_{1}^{2} T k}{R_{2}}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$\frac{4 R_{1}^{2} R_{2} T k}{\left(R_{1} + R_{2}\right)^{2}}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: V1
Spectral density:$4 R_{s} T k$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Detector-referred:$\frac{4 R_{s} T k \left(R_{1} + R_{2}\right)^{2}}{R_{2}^{2}}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$4 R_{s} T k$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: V1_XU1
Spectral density:$S_{v}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Detector-referred:$\frac{S_{v} \left(R_{1} + R_{2}\right)^{2}}{R_{2}^{2}}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$S_{v}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$

Go to noisyVamp_index

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