Symbolic noise analysis

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=\frac{10 \log{\left(\frac{0.25 R_{s} S_{i}}{T k} + 1 + \frac{0.25 S_{v}}{R_{s} T k} \right)}}{\log{\left(10 \right)}}\,\left[ \mathrm{dB}\right] \end{equation}

Go to ExNoiseFigureAmp_index

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Last project update: 2024-10-06 03:10:10