"Symbolic noise analysis"

Symbolic noise analysis

Symbolic noise analysis results

Detector-referred noise spectrum

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

Source-referred noise spectrum

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

Contributions of individual noise sources

Noise source: I1
Spectral density:$S_{i}$$\,\mathrm{\left[\frac{A^2}{Hz}\right]}$
Detector-referred:$R_{s}^{2} S_{i}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$R_{s}^{2} S_{i}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: V1
Spectral density:$4 R_{s} T k$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Detector-referred:$4 R_{s} T k$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$4 R_{s} T k$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Noise source: V2
Spectral density:$S_{v}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Detector-referred:$S_{v}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$
Source-referred:$S_{v}$$\,\mathrm{\left[\frac{V^2}{Hz}\right]}$

Detector referred noise spectrum

The spectral density of the total output noise can be written as:

\begin{equation} S_{out}=R_{s}^{2} S_{i} + 4 R_{s} T k + S_{v}\,\left[ \mathrm{\frac{V^{2}}{Hz}}\right] \end{equation}

Noise figure

The noise figure is obtained as:

\begin{equation} F=4.343 \log{\left(\frac{0.25 R_{s} S_{i}}{T k} + 1 + \frac{0.25 S_{v}}{R_{s} T k} \right)}\,\left[ \mathrm{dB}\right] \end{equation}

Go to Amplifier-noise-figure_index

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Last project update: 2023-06-12 11:49:08