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_frequency of 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:

$$H=\frac{1}{1+e^2{F}^2}$$