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 on temporal_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:
\[F = \frac{e_{1}}{e}\]