"Analysis results"

Analysis results

Transfer function

The numerator $N_s$ of the transfer function is found as:

\begin{equation} N_{s}=C^{2} s^{2} - \frac{1}{R^{2}} \end{equation}

The denominator $D_s$ of the transfer function is found as:

\begin{equation} D_{s}=- C^{2} s^{2} - \frac{2 C s}{R} - \frac{1}{R^{2}} \end{equation}

The transfer function $H_s$ is obtained as:

\begin{equation} H_{s}=\frac{- C R s + 1}{C R s + 1} \end{equation}

Magnitude characteristic

Magnitude characteristic of the all-pass filter
Figure: mag.svg
Magnitude characteristic of the all-pass filter
Phase characteristic of the all-pass filter
Figure: phase.svg
Phase characteristic of the all-pass filter
Unit step response of the all-pass filter
Figure: step.svg
Unit step response of the all-pass filter

PZ analysis results

Gain type: gain

DC gain = 1.000

poleRe [Hz]Im [Hz]Mag [Hz]Q
p1-1.000e+41.000e+4
zeroRe [Hz]Im [Hz]Mag [Hz]Q
z11.000e+41.000e+4

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Last project update: 2022-03-07 19:48:16