Transmission coefficient approximation of low-pass filter¶
The approximation of the power transmission coefficient of a normalized low-pass filter is given by approximating functions of the order of \(n\).
- frequency¶
temporal_frequencyof the signal.
- Symbol:
f- Latex:
\(f\)
- Dimension:
frequency
- filter_function¶
Function (of
frequency) of order \(n\) which approximates the transfer coefficient.
- Symbol:
F- Latex:
\(F\)
- Dimension:
dimensionless
- bandwidth_distortion¶
Bandwidth distortion determines the maximum distortion in the bandwidth.
- Symbol:
e- Latex:
\(e\)
- Dimension:
dimensionless
- transfer_coefficient¶
Transfer coefficient of the filter.
- Symbol:
H- Latex:
\(H\)
- Dimension:
dimensionless
- law¶
H = 1 / (1 + e^2 * F^2)- Latex:
- \[H = \frac{1}{1 + e^{2} F^{2}}\]