FilterBiquadBandstop
A second-order bandstop filter.
Parameters
corner_frequency
dc_gain
high_frequency_gain
quality_factor
Options
filter_topology \( \in \{ \)
TYPE_I
\( , \)
TYPE_II
\( , \)
UNDEFINED
\( \} \)
opamp_mode \( \in \{ \)
DEFAULT
\( , \)
CHOPPER_STABILIZED
\( \} \)
Inputs
input
Continuous
Outputs
output
Continuous
Low-frequency Variant
FilterBiquadBandstopLF
: a version of this module that uses additional hardware resources to extend its low-frequency range.
Transfer Function
$$
\frac{V_{out}(s)}{V_{in}(s)} = \frac{-G_{hf}s^2 - 4\pi^2 f_c^2 G_{dc}}{s^2 + \frac{2\pi f_c}{Q}s + 4\pi^2 f_c^2} \\
f_{notch} = f_c\sqrt{\frac{G_{dc}}{G_{hf}}}
$$
Analog Resource Usage
$$
\begin{array}{|c|c|}
\hline
\text{Opamps} & \text{2 of 8} \\
\hline
\text{Capacitors} & \text{8 of 32} \\
\hline
\end{array} \\~\\
\text{Low Frequency Variant:} \\
\begin{array}{|c|c|}
\hline
\text{Opamps} & \text{2 of 8} \\
\hline
\text{Capacitors} & \text{16 of 32} \\
\hline
\end{array}
$$