Report

Prototype function

\begin{equation} P_{s}=\frac{1}{\left(\frac{6.25 \cdot 10^{-8} s^{2}}{\pi^{2}} + \frac{0.0003536 s}{\pi} + 1\right)^{2}} \end{equation}

Circuit implementation

Transfer of the network

\begin{equation} T_{s}=\frac{1}{C_{a} C_{b} L_{a} L_{b} s^{4} + C_{a} L_{a} L_{b} s^{3} + s^{2} \left(C_{a} L_{a} + C_{b} L_{a} + C_{b} L_{b}\right) + s \left(L_{a} + L_{b}\right) + 1} \end{equation}

Parameter values

\begin{equation} C_{a}=0.0001266 \end{equation} \begin{equation} L_{a}=0.0001501 \end{equation} \begin{equation} L_{b}=7.503 \cdot 10^{-5} \end{equation} \begin{equation} C_{b}=2.813 \cdot 10^{-5} \end{equation}
Table: Element data of expanded netlist 'Filter Design'
RefDesNodesRefsModelParamSymbolicNumeric
C11 0 C value$\frac{C_{a}}{R}$$\frac{0.0001266}{R}$
vinit$0$$0$
C2out 0 C value$\frac{C_{b}}{R}$$\frac{2.813 \cdot 10^{-5}}{R}$
vinit$0$$0$
L21 out L value$L_{b} R$$7.503 \cdot 10^{-5} R$
iinit$0$$0$
L32 1 L value$L_{a} R$$0.0001501 R$
iinit$0$$0$
R1out 0 R value$R$$R$
noisetemp$0$$0$
noiseflow$0$$0$
dcvar$0$$0$
dcvarlot$0$$0$
V12 0 V value$1$$1.0$
noise$0$$0$
dc$0$$0$
dcvar$0$$0$
Table: Parameter definitions in 'Filter Design'.
NameSymbolicNumeric
$C_{a}$$0.0001266$$0.0001266$
$C_{b}$$2.813 \cdot 10^{-5}$$2.813 \cdot 10^{-5}$
$L_{a}$$0.0001501$$0.0001501$
$L_{b}$$7.503 \cdot 10^{-5}$$7.503 \cdot 10^{-5}$
Table: Parameters without definition in 'Filter Design.
Name
$R$

Plots

dB magnitude of the LR4 filter transfer.
Figure: LR4dBmag.svg
dB magnitude of the LR4 filter transfer.
phase plot of the LR4 filter transfer.
Figure: LR4phase.svg
phase plot of the LR4 filter transfer.

Go to Filter-Design_index

SLiCAP: Symbolic Linear Circuit Analysis Program, Version 2.0.1 © 2009-2024 SLiCAP development team

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Last project update: 2024-10-07 16:51:47