Symbolic noise analysis

Detector-referred noise spectrum

$$ S_{\mathrm{DET}}=S_{i}\,{\left(A_{v}\,R_{a}-1.0\,R_{a}+A_{v}\,R_{s}\right)}^2+{A_{v}}^2\,S_{v}+4.0\,T\,k\,R_{a}\,{\left(A_{v}-1.0\right)}^2+4\,T\,k\,{A_{v}}^2\,R_{s}+\frac{4.0\,T\,k\,R_{a}\,{\left(A_{v}-1.0\right)}^2}{A_{v}-1} $$

Source-referred noise spectrum

$$ S_{\mathrm{SRC}}=S_{v}+\frac{S_{i}\,{\left(A_{v}\,R_{a}-1.0\,R_{a}+A_{v}\,R_{s}\right)}^2}{{A_{v}}^2}+4\,T\,k\,R_{s}+\frac{4.0\,T\,k\,R_{a}\,{\left(A_{v}-1.0\right)}^2}{{A_{v}}^2}+\frac{4.0\,T\,k\,R_{a}\,{\left(A_{v}-1.0\right)}^2}{{A_{v}}^2\,\left(A_{v}-1\right)} $$

Contributions of individual noise sources

Noise source: V1_XU1
Spectral density: $ S_{v}$ [V2/Hz]
Detector-referred: $ {A_{v}}^2\,S_{v}$ [V2/Hz]
Source-referred: $ S_{v}$ [V2/Hz]
Noise source: I1_XU1
Spectral density: $ S_{i}$ [A2/Hz]
Detector-referred: $ S_{i}\,{\left(A_{v}\,R_{a}-1.0\,R_{a}+A_{v}\,R_{s}\right)}^2$ [V2/Hz]
Source-referred: $ \frac{S_{i}\,{\left(A_{v}\,R_{a}-1.0\,R_{a}+A_{v}\,R_{s}\right)}^2}{{A_{v}}^2}$ [V2/Hz]
Noise source: I1
Spectral density: $ \frac{4.0\,T\,k}{R_{a}\,\left(A_{v}-1.0\right)}$ [A2/Hz]
Detector-referred: $ 4.0\,T\,k\,R_{a}\,\left(A_{v}-1.0\right)$ [V2/Hz]
Source-referred: $ \frac{4.0\,T\,k\,R_{a}\,\left(A_{v}-1.0\right)}{{A_{v}}^2}$ [V2/Hz]
Noise source: I2
Spectral density: $ \frac{4.0\,T\,k}{R_{a}}$ [A2/Hz]
Detector-referred: $ 4.0\,T\,k\,R_{a}\,{\left(A_{v}-1.0\right)}^2$ [V2/Hz]
Source-referred: $ \frac{4.0\,T\,k\,R_{a}\,{\left(A_{v}-1.0\right)}^2}{{A_{v}}^2}$ [V2/Hz]
Noise source: V1
Spectral density: $ 4.0\,T\,k\,R_{s}$ [V2/Hz]
Detector-referred: $ 4.0\,T\,k\,{A_{v}}^2\,R_{s}$ [V2/Hz]
Source-referred: $ 4.0\,T\,k\,R_{s}$ [V2/Hz]

Go to main index

SLiCAP: Symbolic Linear Circuit Analysis Program, Version 0.6 © 2009-2020 Anton Montagne

For documentation, examples, support, updates and courses please visit: analog-electronics.eu