FilterPoleZero
A first-order filter with programmable pole and zero.
Parameters
pole_frequency
zero_frequency
dc_gain
high_frequency_gain
Options
dependent_variable \( \in \{ \)
POLE_FREQUENCY
\( , \)
ZERO_FREQUENCY
\( , \)
DC_GAIN
\( , \)
HIGH_FREQUENCY_GAIN
\( \} \)
opamp_mode \( \in \{ \)
DEFAULT
\( , \)
CHOPPER_STABILIZED
\( \} \)
Inputs
input
Continuous
Outputs
output
Continuous
Low-frequency Variant
FilterPoleZeroLF
: a version of this module that uses additional hardware resources to extend its low-frequency range.
Transfer Function
$$
\frac{V_{out}(s)}{V_{in}(s)} = - \frac{G_{hf}(s + 2\pi f_z)}{s + 2\pi f_p} \\
G_{dc} = \frac{f_z}{f_p}G_{hf}
$$
Analog Resource Usage
$$
\begin{array}{|c|c|}
\hline
\text{Opamps} & \text{1 of 8} \\
\hline
\text{Capacitors} & \text{4 of 32} \\
\hline
\end{array} \\~\\
\text{Low Frequency Variant:} \\
\begin{array}{|c|c|}
\hline
\text{Opamps} & \text{1 of 8} \\
\hline
\text{Capacitors} & \text{6 of 32} \\
\hline
\end{array}
$$