Filter order from distortion and frequency¶
The approximation of the power transmission coefficient of a normalized low-pass filter is given by approximating functions of the order of \(n\).
- filter_function¶
Approximating function of order \(n\) (
filter_order
) that depends ontemporal_frequency
.
- Symbol:
F
- Latex:
\(F\)
- Dimension:
dimensionless
- filter_order¶
Filter order. See
positive_number
.
- Symbol:
N
- Latex:
\(N\)
- Dimension:
dimensionless
- bandwidth_distortion¶
Bandwidth distortion, which corresponds to the number of ripples in the bandwidth.
- Symbol:
e
- Latex:
\(e\)
- Dimension:
dimensionless
- band_stop_distortion¶
Band-stop distortion, which sets the required suppression level in the filter band-stop.
- Symbol:
e_1
- Latex:
\(e_{1}\)
- Dimension:
dimensionless
- band_stop_frequency¶
Band-stop frequency, i.e.
temporal_frequency
that corresponds to the maximum band-stop distortion.
- Symbol:
f_1
- Latex:
\(f_{1}\)
- Dimension:
frequency
- law¶
F = e_1 / e
- Latex:
- \[F = \frac{e_{1}}{e}\]