"Determination of show-stopper values of noise sources"

Determination of show-stopper values of noise sources

Circuit diagram

Symbolic determination of show-stopper values

I1

Spectral contribution of I1:.

\begin{matrix} (1) & I_{1} = \frac{L_{r} L_{s} R_{g}^{2} S_{i T} k_{c}^{2}}{A_{R}^{2} B_{T}^{2}} [\frac{A^{2}}{Hz}] \end{matrix}

Show stopper value for noise contribution of I1:.

\begin{matrix} (2) & S_{i T} = \frac{A_{R}^{2} B_{T}^{2} v_{o n}^{2}}{L_{r} L_{s} R_{g}^{2} k_{c}^{2} (f_{m a x} - f_{m i n})} [\frac{A^{2}}{Hz}] \end{matrix}

V2

Spectral contribution of V2:.

\begin{matrix} (3) & V_{2} = \frac{L_{r} L_{s} S_{v T} k_{c}^{2}}{A_{R}^{2} B_{T}^{2}} [\frac{V^{2}}{Hz}] \end{matrix}

Show stopper value for noise contribution of V2:.

\begin{matrix} (4) & S_{v T} = \frac{A_{R}^{2} B_{T}^{2} v_{o n}^{2}}{L_{r} L_{s} k_{c}^{2} (f_{m a x} - f_{m i n})} [\frac{V^{2}}{Hz}] \end{matrix}

I2

Spectral contribution of I2:.

\begin{matrix} (5) & I_{2} = \frac{0.25 S_{i R} (4 π^{2} L_{r}^{2} f^{2} + R_{r}^{2})}{π^{2} A_{R}^{2} f^{2}} [\frac{A^{2}}{Hz}] \end{matrix}

Show stopper value for noise contribution of I2:.

\begin{matrix} (6) & S_{i R} = \frac{4 π^{2} A_{R}^{2} f_{m a x} f_{m i n} v_{o n}^{2}}{(f_{m a x} - f_{m i n}) (4 π^{2} L_{r}^{2} f_{m a x} f_{m i n} + R_{r}^{2})} [\frac{A^{2}}{Hz}] \end{matrix}

V3

Spectral contribution of V3:.

\begin{matrix} (7) & V_{3} = \frac{0.25 S_{v R}}{π^{2} A_{R}^{2} f^{2}} [\frac{V^{2}}{Hz}] \end{matrix}

Show stopper value for noise contribution of V3:.

\begin{matrix} (8) & S_{v R} = \frac{4 π^{2} A_{R}^{2} f_{m a x} f_{m i n} v_{o n}^{2}}{f_{m a x} - f_{m i n}} [\frac{V^{2}}{Hz}] \end{matrix}

V1

RMS output noise voltage caused by V1:.

\begin{matrix} (9) & R M S_{V 1} = 0 [V] \end{matrix}

I_noise_R1

RMS output noise voltage caused by I_noise_R1:.

\begin{matrix} (10) & R M S_{I n o i s e R 1} = 0 [V] \end{matrix}

I_noise_R2

Spectral contribution of I_noise_R2:.

\begin{matrix} (11) & I_{n o i s e R 2} = \frac{4 L_{r} L_{s} R_{g} T k k_{c}^{2}}{A_{R}^{2} B_{T}^{2}} [\frac{A^{2}}{Hz}] \end{matrix}

Show stopper value for noise contribution of I_noise_R2:.

\begin{matrix} (12) & R_{g} = \frac{0.25 A_{R}^{2} B_{T}^{2} v_{o n}^{2}}{L_{r} L_{s} T k k_{c}^{2} (f_{m a x} - f_{m i n})} [Ω] \end{matrix}

I_noise_R4

RMS output noise voltage caused by I_noise_R4:.

\begin{matrix} (13) & R M S_{I n o i s e R 4} = {(\frac{R_{r} T k}{π^{2} A_{R}^{2} f_{m i n}} - \frac{R_{r} T k}{π^{2} A_{R}^{2} f_{m a x}})}^{0.5} [V] \end{matrix}

Numeric determination of show-stopper values

I1